If the length of a rectangular television screen is 20 inches and its height is 15 inches, what is the length of its
diagonal

Answer:

[tex]x2 - 12 = 37[/tex]

Step-by-step explanation:

Add 12 to both sides:

[tex]x2 - 12 + 12 = 37 + 12[/tex]

Simpilfy:

[tex]x2 = 49[/tex]

Simplify:

[tex]2x^{2} = 49[/tex]

Simplify:

[tex]\frac{2x^{2} }{2} = \frac{49}{2}[/tex]

[tex]x^{2} = \frac{49}{2}[/tex]

For x^2 = f(a) the solutions are x = [tex]\sqrt{f(a)} , - \sqrt{f(a)}[/tex]

x = [tex]\sqrt{\frac{49}{2} } , x = -\sqrt{\frac{49}{2} }[/tex]

-[tex]\sqrt{\frac{49}{2} } = -\frac{7\sqrt{2} }{2}[/tex]

x = [tex]\frac{7\sqrt{2} }{2} , x = -\frac{7\sqrt{2} }{2}[/tex]

Hope I helped, may I get brainliest and a thanks?

Thank you, have a good day! =)

Answer:

[tex]x = 7 \\ x = - 7[/tex]

Step-by-step explanation:

[tex] {x}^{2} - 12 = 37 \\ {x}^{2} = 37 + 12 \\ {x}^{2} = 49 \\ x = \sqrt{49} \\ x = 7 \\ x = - 7[/tex]

Answer:

2.64

Step-by-step explanation:

The 8 in the thousandths place can round up to .64

The cost price of the cycle is Rs.3240

Represent the cost price of the cycle with x and the selling price with y

A gain of 5% when the marked price is at a discount of 10% implies that:

[tex]5\%=\frac{(1 - 10\%)y-x}{x}[/tex]

Express 10% as decimal

[tex]5\%=\frac{(1 - 0.10)y-x}{x}[/tex]

[tex]5\%=\frac{0.90y-x}{x}[/tex]

Express 5% as decimal

[tex]0.05=\frac{0.90y-x}{x}[/tex]

Cross multiply

[tex]0.05x=0.90y-x[/tex]

Collect like terms

[tex]x + 0.05x=0.90y\\[/tex]

This gives

[tex]1.05x=0.90y[/tex]

Make y the subject of the formula

[tex]y = \frac{1.05x}{0.90}[/tex]

Also, when the discount is 5% and the profit is 351, we have:

[tex]351=(1 - 5\%)y -x[/tex]

Express 5% as decimal

[tex]351=(1 - 0.05)y -x[/tex]

This gives

[tex]351=0.95y -x[/tex]

Make y the subject

[tex]0.95y = 351 + x[/tex]

Substitute [tex]y = \frac{1.05x}{0.90}[/tex]

[tex]0.95 \times \frac{1.05x}{0.90} = 351 + x[/tex]

[tex]\frac{0.9975x}{0.90} = 351 + x[/tex]

Subtract x from both sides

[tex]\frac{0.9975x}{0.90} -x= 351[/tex]

Take LCM

[tex]\frac{0.9975x - 0.9x}{0.90}= 351[/tex]

[tex]\frac{0.0975x}{0.90}= 351[/tex]

Multiply both sides by 0.90

[tex]0.0975x= 315.9[/tex]

Divide both sides by 0.0975

[tex]x= 3240[/tex]

Hence, the cost price of the cycle is Rs.3240

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Answer:

1099.589 ft^2

Step-by-step explanation:

idk what happen to my answer but some bozo delete my answer but ehre you go again for any who has the same question:)

Answer:

-24

Step-by-step explanation:

To find the y intercept, plug x in as 0.

Answer:

-24

Step-by-step explanation:

Y intercept is where graph cuts the y axis and it satisfies x=0

So put x=0 in your equation

F(0)= -8 x 3

F(0)= -24

Therefore y-intercept= -24

Answer:

Step-by-step explanation:

A(-1, 2)  ==> A'(-2, 4)

B(3,1) ==> B'(6,2)

C(1,-4) ==> C'(2,-8)

Based on the results of each set, the scale factor is 2

A(-1*2, 2*2)=  A'(-2, 4)

Answer:

13 minutes 30 seconds.

Step-by-step explanation:

You just divide 10.8 by 0.8...

10.8÷0.8=13.5

Answer:

The slope of the line is 1

Step-by-step explanation:

To figure out the slope, you just have to do rise over one, if the line is going up from left to right then the slope is positive, which is the case shown

Answer:

5/7

Step-by-step explanation:

Billy experienced a rate of catfish to toral fish of 10/14. This is 5/7. So if this rate continues, he could expect the probability of catching a catfish to be : 5/7

Answer:

When you divide by 10^3, the decimal point moves three places to the right. When you multiply by 0.001, the decimal point moves three places to the right. So, both equal .0777

Step-by-step explanation:

Answer: 74.93

Step-by-step explanation:   if you heard of the line equals line method this should be able to help you.  

299.75                     25%

---------------=------------------  

$1199                     100%      

so you cross multiply 1199 and 25 and then divide it by 100.   which would be 299.75 that is the price per 1 year then you divide that value by 4 and that will be your answer.  

299.75 divided by 4= 74.93  

hope this helps

Answer:

379.37

Step-by-step explanation:

I just did it the manual way

1199-25%=899.25

(25% of 1199 is 299.75)

899.25-25%=674.44

(25% of 899.25 is 224.81)

674.44-25%=505.83

(25% of 674.44 is 168.61)

505.83-25%= 379.37

(25% of 505.83 is 126.5)

I just took a test with this question

Answer: The first one is correct but the second one is not

answer blank 1 = 21

answer blank 2 = 189

Step-by-step explanation: You know that 21 students are at each group of tables and you know there is 9 groups total so to get the answer you must multiply 8 times 21 which is 189. Where you went wrong was you multiplied 9 * 3 instead of 9 * 21

hope this helps mark me brainliest if it did

Answer:

A3

D6

Step-by-step explanation:

All answer choices are correct and can form triangles.

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,
A set of measurements could be the side lengths of a triangle if and only if the sum of the lengths of any two sides is greater than the length of the remaining side (Triangle Inequality Theorem).

A)

3 cm, 3 cm, 3 cm - This is a valid triangle because the sum of any two sides is greater than the third side.

B)
4 cm, 8 cm, 13 cm - This is a valid triangle because 4+8 > 13, 4+13 > 8, and 8+13 > 4.

C)

5 cm, 9 cm, 14 cm - This is a valid triangle because 5+9 > 14, 5+14 > 9, and 9+14 > 5.

D)

6 cm, 7 cm, 8 cm - This is a valid triangle because 6+7 > 8, 6+8 > 7, and 7+8 > 6.

E)

7 cm, 7 cm, 10 cm - This is a valid triangle because 7+7 > 10, 7+10 > 7, and 10+7 > 7.

Therefore,

All of the sets of measurements could be the side lengths of a triangle.

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Answer:

Step-by-step explanation:

Answer:

sin theta = opp/ hypotenuse

Step-by-step explanation:

sin theta = opp/ hypotenuse

cos theta = adj/ hypotenuse

tan theta = opp/ adj

In this case we know the opposite  and the hypotenuse

Answer:

-1-x

Step-by-step explanation:

i think im not sure

Answer:

yes you are right it would be cylinder b

Step-by-step explanation:

Answer:

aₙ = (-3) (-1)ⁿ⁻¹

limit does not exist

Step-by-step explanation:

-3, 3, -3, 3, ...

This is an alternating geometric series where the first term is -3 and the common ratio is -1.  The nth term is therefore:

aₙ = (-3) (-1)ⁿ⁻¹

Since the sequence alternates between -3 and 3, the limit as n approaches infinity of aₙ does not exist.

Answer:

add it up to see if it's 180

Answer:

Well since you have the sides you would add up all of the sides to find the perimeter.

Step-by-step explanation:

Answer:

Its B. y-5x+5

Step-by-step explanation:

Use the slope formula

The equation of the linear model is y = 5x + 5. The correct answer is option B.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

We can find the equation of the linear model passing through two points using the slope-intercept form of a line:

y = mx + b

where m is the slope of the line and b is the y-intercept.

First, we need to find the slope of the line:

m = (y₂ - y₁) / (x₂ - x₁)

Let (0, 5) be the first point, and (3, 20) be the second point:

m = (20 - 5) / (3 - 0) = 15 / 3 = 5

Now that we know the slope, we can plug in one of the points and solve for the y-intercept:

y = mx + b

5 = 5(0) + b

b = 5

Hence, the equation of the linear model is:

y = 5x + 5

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Answer:

Lesson Summary

A milliliter is a metric unit used to measure capacity that's equal to one-thousandth of a liter. Capacity is the amount of liquid a container can hold. One liter contains 1,000 milliliters, so to convert liters to milliliters you multiply the number of liters times 1,000.

Look at the equivalent metric units of capacity. When converting from a larger unit to a smaller unit, multiply by 1,000. When converting from a smaller unit to a larger unit, divide by 1,000. Liters are larger than milliliters, so multiply by 1,000.

Step-by-step explanation:

Answer:

225

Step-by-step explanation:

Take 675/3 to find one third of its current depth. That gives you your answer. Does that make sense?

Answer: The volume is 480 in^3

Step-by-step explanation:

v= lwh

v= 12 * 5 * 8

v= 480 in^3

Answer:

Volume of the rectangular prism = [tex]480in.^{3}[/tex]

Step-by-step explanation:

Formula for the volume of a rectangular prism= Ah, where A= base area

                                                                                               & h= height

Base area(A)= Length×Width

                    = 12in.×8in.

                    = [tex]96in.^{2}[/tex]

Since height=5in.,

Volume= [tex]96in.^{2}[/tex]×5in.

            = [tex]480in.^{3}[/tex]

Hope this helps!!!

Pls mark as brainliest

Answer:

a

Step-by-step explanation:

Answer:

5 rides $15

Step-by-step explanation:

.

Answer:

omg riverdale is my favorite show!

Step-by-step explanation:

Answer:

4,8

Step-by-step explanation:

reflecting over y axis is flipping to the other side. and you are going up 3 points so 5+3 is 8. and negative four turns to positive four

Answer:

see explanation

Step-by-step explanation:

i know this is very late but ..

area of triangle= b*h/2

24*7/2=84

and it said the parallelogram is 5 times the area so we do

84*5=420 which is the total area of the parallelogram

now to find h we need to do

420/30=14

h=14 because 30*14=420

The required value of h is 14 cm for the given parallelogram.

A parallelogram is defined as a special type of quadrilateral that has both pairs of opposite sides parallel and equal.

The area of the triangle is (247)/2 = 84 square cm.

Since the area of the parallelogram is 5 times the area of the triangle, the area of the parallelogram is 845 = 420 square cm.

The area of the parallelogram is equal to the base (30 cm) multiplied by the height (h cm), so we can set up the equation:

30h = 420

To find the value of h, we can divide both sides of the equation by 30:

h = 420/30

h = 14 cm

Thus, the required value of h is 14 cm.

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Answer:

17/45

Step-by-step explanation:

Answer:

is your brainly working?

Step-by-step explanation: