Answer:
C. 15 and 35
Step-by-step explanation:
3 x 15=45-10= 35
15+35=50
So C. is correct
Answer:
C
Step-by-step explanation:
Let the two no.s be x and y
x+y=50 -------(I)
Condition 2:
x=3y-10 -------(2)
Putting eq 2 into 1
3y-10+y=50
4y-10=50
4y=50+10
4y=60
Dividing both sides by 4
y=15
Putting the value of y in 2
x=3(15)-10
x=45-10
x=35
Triangle A B C is shown. Angle B C A is a right angle. The length of hypotenuse A B is 20 centimeters and the length of B C is 10.5 centimeters. Angle A B C is x. Which is the best approximation for the measure of angle ABC? 27.7° 31.7° 58.3° 62.3°
The best approximation for the measure of angle ABC is 58.3° ⇒ 3rd answer
Step-by-step explanation:
Let us revise the trigonometry ratios in the right triangle ABC, where B is the right angle, AC is the hypotenuse, AB and BC are the legs of the triangle
The trigonometry ratios of the angle BAC, the opposite side to this angle is BC and the adjacent side to it is AB are
[tex]sin(BAC)=\frac{opposite}{hypotenuse}=\frac{BC}{AC}[/tex] [tex]cos(BAC)=\frac{adjacent}{hypotenuse}=\frac{AB}{AC}[/tex] [tex]tan(BAC)=\frac{opposite}{adjacent}=\frac{BC}{AB}[/tex]In Δ ABC
∵ ∠ BCA is a right angle
∴ The hypotenuse is AB
∵ The adjacent side to ∠ABC is BC
∵ AB = 20 centimeters
∵ BC = 10.5 centimeters
- Use cosine ratio to find the measure of the angle because you
have the adjacent side of the angle ABC and the hypotenuse
∵ m∠ABC is x
∵ [tex]cos(x)=\frac{BC}{AB}[/tex]
∴ [tex]cos(x)=\frac{10.5}{20}[/tex]
- To find x use the inverse of cos(x)
∵ [tex]x=cos^{-1}(\frac{10.5}{20})[/tex]
∴ x = 58.33°
∴ m∠ABC = 58.33°
The best approximation for the measure of angle ABC is 58.3°
Learn more:
You can learn more about the trigonometry ratios in brainly.com/question/4924817
#LearnwithBrainly
The best approximation for the measure of angle ABC is 31.7°.
To find the measure of angle ABC (x), we can use trigonometric ratios. Since angle BCA is a right angle, we can use the sine function, which relates the opposite side to the hypotenuse in a right-angled triangle.
Let's denote the sides of the triangle as follows:
BC is the opposite side to angle ABC, with a length of 10.5 cm.
AB is the hypotenuse, with a length of 20 cm.
AC is the adjacent side to angle ABC.
Using the sine function, we have:
[tex]\[ \sin(x) = \frac{\text{opposite side}}{\text{hypotenuse}} = \frac{BC}{AB} \][/tex]
[tex]\[ \sin(x) = \frac{10.5}{20} \][/tex]
[tex]\[ \sin(x) = 0.525 \][/tex]
Now, we need to find the angle whose sine is approximately 0.525. Using a calculator or trigonometric tables, we can approximate the angle x. The angle whose sine is approximately 0.525 is about 31.7°.
Ken has 10 red marbles 12 green marbles8 blue marbles 16 yellow marbles in bag
The probability that Mark draws a yellow marble and then a green marble is 1/9.
Explanation:To find the probability that Mark draws a yellow marble and then a green marble, we first need to find the total number of marbles in the bag. The bag contains 4 green marbles, 3 red marbles, and 2 yellow marbles, so the total number of marbles is 4 + 3 + 2 = 9.
Since Mark draws without replacement, the probability of drawing a yellow marble first is 2/9. After drawing a yellow marble, there are now 1 yellow marble and 8 total marbles left in the bag, so the probability of drawing a green marble second is 4/8, or 1/2.
To find the overall probability, we multiply the probabilities of the individual events. Therefore, the probability that Mark draws a yellow marble and then a green marble is (2/9) * (1/2) = 1/9.
The x- and y-axes divide the coordinate plane into four regions. What are they called?
Answer:
Quadrent One Two Three and Four
Step-by-step explanation:
The x- and y-axes divide the coordinate plane into four regions, called quadrants, named Quadrant I, II, III, and IV. They are numbered counterclockwise, with different quadrants containing points with different combinations of positive and negative x- and y-values.
Explanation:The x- and y-axes of the coordinate plane divide the entire plane into four regions. These regions are known as quadrants. They are named as Quadrant I, Quadrant II, Quadrant III, and Quadrant IV.
The quadrants are numbered in a counterclockwise direction. Quadrant I, on the top right, contains all points with positive x- and y-values. Quadrant II, on the top left, contains all points with negative x-values and positive y-values. Quadrant III, on the bottom left, contains all the points with negative x- and y-values.
Last, Quadrant IV on the bottom right contains all the points with positive x-values and negative y-values.
Learn more about Quadrants here:https://brainly.com/question/31643262
#SPJ3
The tables below show four sets of data:
Set A
x
1
2
3
4
5
6
7
8
9
y
10
9
8
7
6
5
4
3
2
Set B
x
1
2
3
4
5
6
7
8
9
y
3
4
5
6
7
8
9
10
11
Set C
x
1
2
3
4
5
6
7
8
9
y
8
6
5
4
3.5
3
2.5
2
2
Set D
x
1
2
3
4
5
6
7
8
9
y
1
2.5
2.5
3
4
5
6
8
9
For which set of data will the scatter plot represent a positive linear association between x and y?
Set A
Set B
Set C
Set D
Answer: Set A
Step-by-step explanation:
Because both x and y have to have a even number.
Example: (1,2) (2,4)...ect
The sum of two numbers is 52. The larger number is 8 more than the smaller number. What are the numbers?
Answer:
The smaller number is 22
The larger number is 30
Step-by-step explanation:
L + S = 52
L = S + 8
Set both equations equal to L.
S + 8 = -S + 52
+S +S
2S + 8 = 52
- 8 - 8
2S = 44
S = 22
To find the larger number, plug 22 in as S into the equations.
L = 30
Final answer:
The two numbers are 22 and 30, with the smaller number being 22 and the larger one being 30 (which is 8 more than the smaller number).
Explanation:
The sum of two numbers is 52, and the larger number is 8 more than the smaller number. Let's denote the smaller number as x and the larger number as x + 8. The equation to represent their sum is:
x + (x + 8) = 52
By combining like terms, the equation simplifies to:
2x + 8 = 52
Subtract 8 from both sides of the equation to isolate the term with x:
2x = 44
Divide by 2 to solve for x:
x = 22
Now that we have the value of the smaller number, we can find the larger number:
x + 8 = 22 + 8 = 30
So, the two numbers are 22 and 30.
Quadrilateral ABCD has 2 sets of parallel sides, 4 congruent angles, and 4 congruent
sides. What are all the classifications for Quadrilateral ABCD? Mark all that apply.
Parallelogram
Rectangle
Trapezoid
Square
Kite
Rhombus
Answer:
It can be a parallelogram, a square, a rectangle and rhombus too.
Answer:
There are many special types of quadrilateral.
A parallelogram is a quadrilateral in which both pairs of opposite sides are parallel .
A parallelogram also has the following properties:
Opposite angles are congruent;
Opposite sides are congruent;
Adjacent angles are supplementary;
The diagonals bisect each other.
A rectangle is a parallelogram with four right angles, so all rectangles are also parallelograms and quadrilaterals. On the other hand, not all quadrilaterals and parallelograms are rectangles.
A rectangle has all the properties of a parallelogram, plus the following:
The diagonals are congruent.
A rhombus is a parallelogram with four congruent sides. The plural of rhombus is rhombi . (I love that word.)
A rhombus has all the properties of a parallelogram, plus the following:
The diagonals intersect at right angles.
A square can be defined as a rhombus which is also a rectangle – in other words, a parallelogram with four congruent sides and four right angles.
A trapezoid is a quadrilateral with exactly one pair of parallel sides. (There may be some confusion about this word depending on which country you're in. In India and Britain, they say trapezium ; in America, trapezium usually means a quadrilateral with no parallel sides.)
Step-by-step explanation:
you should be able to find your answer in this i rlly hope it helps you
Use the expression -3/7+10
Answer:
a. Jake told the negative value of the expression which cannot be equivalent to the original expression.
b. 10 - [tex]$ \frac{\textbf{3}}{\textbf{7}} $[/tex] g
Step-by-step explanation:
a. The given expression is: [tex]$ \frac{-3}{7}g + 10 $[/tex]
Multiplying through out by -, we get:
[tex]$ - 10 + \frac{3}{7}g $[/tex] which was the expression given by Jake. Since, it is the negative of the original one, they cannot be equivalent.
b. [tex]$ -\frac{3}{7}g + 10 = 10 - \frac{3}{7}g $[/tex]
[tex]$ = \frac{70 - 3g}{7} $[/tex]
Hence, the answer.
A carpenter has a board 2 meters long. She needs to cut it into 8 equal pieces. How many centimeters long will
each piece be?
1600
Answer:
400
Step-by-step explanation:
1 meter = 100 centimeters
8/2 = 4
4 x 100 = 400
Answer:
Step-by-step explanation:
1 meter = 100 centimeters.....so 2 meters = 200 cm
split into 8 equal pieces....200 / 8 = 25 cm <=== each piece is 25 cm
what value of b will make the system 7=2x+7 and y=2.5x+b intereect at the point (-6, -5)
Answer:
The value of b for the intersection of two lines at given points is 4
Step-by-step explanation:
Given as :
The two line equations are
y = 2 x + 7 ..........A
And
y = 2.5 x + b ............B
Since, The two lines are intersecting at point [tex]x , y[/tex] = - 6 , - 5
Now Solving equation A and B we get
2 x + 7 = 2.5 x + b
Or, 7 - b = 2.5 x - 2 x
Or, 7 - b = . 5 x
∵ intersecting points are x , y = - 6 , - 5
putting the value of y from points
i.e 7 - b = . 5 × ( - 6 )
Or, 7 - b = 3
Or, b = 7 - 3
∴ b = 4
So, The value of b = 4
Hence, The value of b for the intersection of two lines at given points is 4 Answer
7 movie tickets cost $25.00
Answer:ok boomer
Step-by-step explanation:
What is the values of x and y?
(5x) + (9y)
Answer:
x=5 y=9
Step-by-step explanation:
hope this helps :) have a nice day :) :) :)
Which algebraic expression is a product with a factor of 6?
O A. 6x-9
O B. 9x=6
O C. 6+x-9
O D. 6(x+5)
SUBN
Option D is correct.
What is the product?
(-3s+2t)(4s-t
Answer:
-12s^2 + 11st - 2t^2
Step-by-step explanation:
Suppose we want to choose 2 objects, without replacement from the objects pencil, eraser and desk
The question is about finding the number of ways to choose 2 items without replacement from a set of 3 items using combinatorics, and there are 3 different ways to do so.
The question deals with the concept of combinations in probability and combinatorics. When choosing 2 objects from a set of 3 items (a pencil, an eraser, and a desk) without replacement, we can use the combination formula C(n, k) = n! / (k!(n-k)!), where n is the total number of items and k is the number of items to choose.
In this case, we have 3 items and we want to choose 2, so we plug the values into the formula to get the number of combinations without replacement.
Using the combination formula, C(3, 2) = 3! / (2! × (3-2)!) = 3.
Therefore, there are 3 different ways to choose 2 objects from the set of a pencil, an eraser, and a desk.
What is the sum of 197+413 in expression
Answer:
197+413
=197+413
=610
Step-by-step explanation:
this is how i was taught
find the approximate area of the shaded region below, consisting of a right triangle with a circle cut out of it. Use 3.14 as an approximation for pi.
Answer:
2794 m^2
Step-by-step explanation:
Area of Triangle - Area of Circle
1/2bh - piR^2
4050 - 1256
= 2794
The approximate area of the shaded region is, 2794 m²
What is Area?Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.
Given a right triangle with a circle cut out of it,
Area of circle = π*Radius²
Area of triangle = 1/2*base*height
Area of circle = π*20² = 1256 m²
Area of triangle = 1/2*90*90 = 4050 m²
Area of the shaded region = Area of triangle - Area of circle
Area of the shaded region = 4050 - 1256 = 2794 m²
Hence, The approximate area of the shaded region is, 2794 m²
For more references on Area, click;
https://brainly.com/question/27683633
#SPJ2
Which of the following is true about slings?
Select the best option
Alloy steel chains are impeyvious to damage.
Slings should be inspected before each use.
Damaged slings should be removed from service at the end of the work day
The correct answer is; Slings should be inspected before each use.
Further explanation:
Prior to starting the workday, each sling should be visually inspected by the operators. The slings need to be inspected for stretching, gouges, and excessive wear. Also, any nicks in the sling should be checked for. If any of these things are on the slings, the sling needs to be taken out of service immediately. This should be done before starting work.
There are six different types of chains that are used, they are;
Metal meshWire ropeChainNatural fiber ropeSynthetic fiber ropeSynthetic webLearn more about OSHA safety checks at https://brainly.com/question/2892690
#LearnwithBrainly
The correct statement about slings is that they should be inspected before each use. Damaged slings should be removed immediately, not at day's end. Alloy steel chains aren't impervious to damage.
Out of the given options, the true statement about slings is that 'Slings should be inspected before each use'. To ensure the safe operation of a sling, it's crucial to examine it for any damages or wear and tear before every use.
Slings are typically used to lift or move heavy objects, and any damages can lead to accidents or equipment failure. On the other hand, the statement about alloy steel chains is incorrect as they are not impervious to damage.
Lastly, damaged slings should not be waited until the end of the day to be removed from service, they should be removed immediately upon discovering the damage.
Learn more about Slings here:
https://brainly.com/question/26156369
#SPJ6
The volume of a cylinder is 384 pie. The radius of the base of the cylinder is 4 cm. What is the height of the cylinder?
Answer:
24 cm
Step-by-step explanation:
Using the formula for a right cylinder: V = (pi)(r^2)(h) you can plug in the numbers provided
384(pi) = (pi) × (4^2) × h
<solve for h>
384(pi) = (pi) × (16) × h
<divide by 16pi>
24 = height
Answer:
24 = h
Step-by-step explanation:
V = πr²h
384π = π(4)²h
384π = 16πh
24 = h
For which value of x is the equation 3x + x = 2x + 24 true?
A) 3
B) 4
C) 6
D) 12
do you guys know the answer?
Answer:
D) 12
Step-by-step explanation:
3x+x=2x+24
4x=2x+24
4x-2x=24
2x=24
x=24/2
x=12
17 more than Rick's score is 45.
Use the variable r to represent Rick's score.
Here is the equation representing Rick's score:
17 + r = 45
Solving for r, we get r = 45 - 17.
So, what is 45 - 17?
Which function models the sequence -5, -7,-9, -11, ...?
Answer:
-13
Step-by-step explanation:
add two but put a negative .
Tina has $220 in her account. Cliff has $100 in his account. Starting in July, Tina adds $25 to her account on the first of each month, while Cliff adds $35 to his. How many dollars will they have in their accounts when the amounts are the same
Answer:
Both accounts will have $450
Step-by-step explanation:
Tina y= 25x+220
Cliff y= 35x+100
we can use substitution to solve this problem so the formatting would be:
25x+220=35x+100
subtract 25x from both sides
220=10x+100
Subtract 100 from both sides
120=10x
Divide both sides by 10
12=x
now that we have an x value we can plug it into either equation.
y=100+35(10)
y=100+350
y=450
Use addition to solve the linear system of equations.
y = -3x + 1
y = 2x - 4
Please show me step-by-step, I'm having a very hard time with this and I'm behind on work
If names a major arc of a circle, then must be a a) minor arc b)major arc c) semicircle
Answer:
should be a
Step-by-step explanation:
2 litre 450 ml mustard oil was used from a can of 5 litre in a month. How much is left? For how many months in all can it be used?
Answer:
Step-by-step explanation:
1 liter = 1000 ml....so 2 liters and 450 ml = (2* 1000) + 450) = 2450 ml
5 liters = (5 * 1000) = 5000 ml
5000 ml - 2450 ml = 2550 ml or 2 liters and 550 ml <== this is how much is left
so he used 2450 ml in 1 month....and he has 5000 ml
5000/2450 ≈ 2.04 months <=== it will be all used up
Answer:
Step-by-step explanation:
1 litre = 1000 ml
5 liter = 5 * 1000 = 5000 ml
2 liter 450 ml = 2 liter + 450 ml = 2000 ml + 450 ml = 2450 ml
Oil left = 5000 - 2450 = 2550 ml
2550 - 2450 = 100 ml
4 liter 900ml is used in two months and 100 ml will be left over
MD writes an order for 150 mg by mouth every 6 hours for 24 hours. pharmacy dispenses you with 75 mg per 3 ml. how many ml will you administer daily?
Answer:
24ml
Step-by-step explanation:
First, calculate the amount needed in mg for each day.
The rate given for each dose is 150mg every 6 hours. Since there are 24 hours in a day, divide the number of hours in a day by how often to give the medication to get the number of doses each day.
24 hours ÷ 6 hours = 4 doses daily
The total mg each day is the number of doses daily multiplied by the amount in each dose.
4 doses daily X 150 mg = 600mg daily
Calculate how many mg of medication are in 1 ml given by the pharmacy.
75mg ÷ 3ml = 25mg/ml
Divide the mg of medication daily by the concentration the pharmacy dispenses.
600 mg daily ÷ 25mg/ml = 24ml
You will administer 24ml daily.
Check by doing these steps backwards:
24ml per day gives 600 mg of medication because there are 25mg per 1 ml. 24ml X 25mg = 600mg
Each day you need to administer 150mg X (24h ÷ 6h) of medication.
150mg X 4 = 600mg, which is the correct amount.
Need to show my work
Answer:
[tex]\large\boxed{x=\dfrac{5}{4},\ y=\dfrac{15}{16}}[/tex]
Step-by-step explanation:
[tex]\left\{\begin{array}{ccc}y=\dfrac{3}{4}x&(1)\\\dfrac{5}{2}x+2y=5&(2)\end{array}\right\\\\\text{Substitute}\ (1)\ \text{to}\ (2):\\\\\dfrac{5}{2}x+2\left(\dfrac{3}{4}x\right)=5\\\\\dfrac{5}{2}x+\dfrac{3}{2}x=5\\\\\dfrac{5+3}{2}x=5\\\\\dfrac{8}{2}x=5\\\\4x=5\qquad\text{divide both sides by 4}\\\\x=\dfrac{5}{4}[/tex]
[tex]\text{Put the value of}\ x\ \text{to (1)}\\\\y=\dfrac{3}{4}\cdot\dfrac{5}{4}\\\\y=\dfrac{15}{16}[/tex]
Answer:
Step-by-step explanation:
y = 3x/4 .........(1)
5x/2 + 2y = 5 .......(2)
Putting (1) into (2)
5x/2 + 2(3x/4) = 5
5x/2 + 3x/2 = 5
Multiply each term by 2
5x + 3x = 10
8x = 10
x = 10/8
x = 5/4
x = 1 1/4
And y = 3x/4
y = 3(5/4) ÷ 4
y = 15/4 ÷ 4
y = 15/(4×4)
y = 15/16
The sum of 19 data values is 2,375. What is the average of the data values?
Answer:
125
Step-by-step explanation:
2375/19
X divided by 4 equals -7. What is x?
The required value of x that satisfies the equation x/4 = -7 is x = -28.
To solve for x when x divided by 4 equals -7, we can follow these steps:
Start with the equation: x/4 = -7.
To isolate x, we want to get rid of the division by 4. We can do this by multiplying both sides of the equation by 4:
(4)(x/4) = (4)(-7).
The 4 on the left side cancels out with the 4 in the denominator, leaving us with:
x = -28.
Therefore, the value of x that satisfies the equation x/4 = -7 is x = -28.
To learn more about the division operation click here :
brainly.com/question/25870256
#SPJ6
Final answer:
The value of x in the equation x divided by 4 equals -7 is -28. To find x, we multiply both sides of the equation by 4, resulting in x=-28. Substituting back into the original equation confirms the solution is correct.
Explanation:
To solve the equation x divided by 4 equals -7, we want to find the value of x. We can do this by performing the inverse operation of division, which is multiplication. So if x divided by 4 is -7, we can multiply both sides of the equation by 4 to solve for x:
x / 4 = -7
4 * (x / 4) = 4 * (-7)
x = -28
So, the value of x is -28. As a check, you can substitute -28 back into the original equation:
-28 / 4 = -7
Which simplifies to:
-7 = -7
This confirms that the solution is correct since it results in an identity, showing that the left side of the equation is equal to the right side.
A builder is putting floor tiles on each of the 15 kitchen floors in an apartment building. Each floor uses 40 tiles. Each floor tile costs $7.
How much does the builder spend on the floor tiles?
Answer:
$4200
Step-by-step explanation:
15 floor times 40 tiles
15 X 40 = 600 tiles
so 600 tiles times 7 dollars
600 X 7 = 4200 dollars
Final answer:
To find the total cost of floor tiles for 15 kitchen floors, multiply the total number of tiles by the cost per tile. The builder will need 600 tiles (15 floors × 40 tiles) and with each tile costing $7, the total cost comes to $4200.
Explanation:
The student is asking about the total cost of floor tiles needed for an apartment building project. To calculate this, we need to find the total number of tiles used and then multiply this by the cost per tile. There are 15 kitchen floors, with each floor using 40 tiles. Each tile costs $7.
First, let's find out how many tiles are needed in total:
Number of floors × Number of tiles per floor = Total number of tiles
15 floors × 40 tiles per floor = 600 tiles in total
Next, let's calculate the total cost:
Total number of tiles × Cost per tile = Total cost
600 tiles × $7 per tile = $4200
Therefore, the builder spends a total of $4200 on floor tiles for the 15 kitchen floors.