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3 years ago

I need help with this math

Mathematics

2 answers:

ivann1987 [24]3 years ago

4 0

Answer: 105

Expination: i used a calculater

olga55 [171]3 years ago

4 0

H = 21 x 5
h = 105

Hope this helps

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Find the gradient of the line that passes through the points<br> (5, 1) and (2, -5)

Temka [501]

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Suppose :

a = ( 5 , 1 ) and b = ( 2 , - 5 )

______________________________________

We have following equation to find the slope of the line using two points :

$slope = \frac{y(b) - y(a)}{x(b) - x(a)} \\$

Now just need to put the coordinates in the above equation ;

$slope = \frac{ - 5 - 1}{2 - 5} \\$

$slope = \frac{ - 6}{ - 3} \\$

Negatives simpliflies

$slope = \frac{6}{3} \\$

$slope = \frac{3 \times 2}{3} \\$

$slope = \frac{2}{1} \\$

$slope = 2$

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3 0

3 years ago

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Beth is making fruit salad. She adds 4 grapes for every 2 strawberries. If she uses 20 strawberries, how many grapes will she us

tester [92]

Answer:

40 grapes

Step-by-step explanation:

20 strawberries / 2 = 10 strawberries

10 strawberries x 4 grapes = 40 grapes

5 0

3 years ago

Please look at the picture, I need help ASAP.

forsale [732]

See below for the proof that the areas of the lune and the isosceles triangle are equal

<h3>How to prove the areas?</h3>

The area of the isosceles triangle is:

$A_1 = \frac 12r^2\sin(\theta)$

Where r represents the radius.

From the figure, we have:

$\theta = 90$

So, the equation becomes

$A_1 = \frac 12r^2\sin(90)$

Evaluate

$A_1 = \frac 12r^2$

Next, we calculate the length (L) of the chord as follows:

$\sin(45) = \frac{\frac 12L}{r}$

Multiply both sides by r

$r\sin(45) = \frac 12L$

Multiply by 2

$L = 2r\sin(45)$

This gives

$L = 2r\times \frac{\sqrt 2}{2}$

$L = r\sqrt 2$

The area of the semicircle is then calculated as:

$A_2 = \frac 12 \pi (\frac{L}{2})^2$

This gives

$A_2 = \frac 12 \pi (\frac{r\sqrt 2}{2})^2$

Evaluate the square

$A_2 = \frac 12 \pi (\frac{2r^2}{4})$

Divide

$A_2 = \frac{\pi r^2}{4}$

Next, calculate the area of the chord using

$A_3 = \frac 12r^2(\theta - \sin(\theta))$

Recall that:

$\theta = 90$

Convert to radians

$\theta = \frac{\pi}{2}$

So, we have:

$A_3 = \frac 12r^2(\frac{\pi}{2} - \sin(\frac{\pi}{2}))$

This gives

$A_3 = \frac 12r^2(\frac{\pi}{2} - 1)$

The area of the lune is then calculated as:

$A = A_2 - A_3$

This gives

$A = \frac{\pi r^2}{4} - \frac 12r^2(\frac{\pi}{2} - 1)$

Expand

$A = \frac{\pi r^2}{4} - \frac{\pi r^2}{4} + \frac 12r^2$

Evaluate the difference

$A = \frac 12r^2$

Recall that the area of the isosceles triangle is

$A_1 = \frac 12r^2$

By comparison, we have:

$A = A_1 = \frac 12r^2$

This means that the areas of the lune and the isosceles triangle are equal

Read more about areas at:

brainly.com/question/27683633

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1 year ago

Biff is 25 years older than Hannah today. Four years from now,Biff will be 6 times as old as Hannah will be. How old is Hannah t

gavmur [86]

Hannah is 1 year old today.

Step-by-step explanation:

Let,

Hannah = x

Biff = y

According to given statement;

y = x+25 Eqn 1

In four years;

y+4 = 6(x+4) Eqn 2

Putting value of y from Eqn 1 in Eqn 2;

$(x+25)+4=6x+24\\x+25+4=6x+24\\x+29=6x+24\\29-24=6x-x\\5=5x\\5x=5$

Dividing both sides by 5

$\frac{5x}{5}=\frac{5}{5}\\x=1$

As x is age of Hannah, therefore,

Hannah is 1 year old today.

Keywords: linear equations, substitution method

Learn more about linear equations at:

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3 years ago

A small airplane is flying at a speed of 15,840 feet per minute. What is the airplane's speed in miles per hour?

Marat540 [252]

Answer:

im pretty sure you have to divide 15, 840 by 60 and you should get 0.264

Step-by-step explanation:

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3 years ago

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I need help with this math ​

I need help with this math