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3 years ago

Please answer the question. URGENT

Mathematics

1 answer:

tamaranim1 [39]3 years ago

4 0

Answer:

32.4 cm

Step-by-step explanation:

First, you want to find the area of the smaller rectangle. We can do this by multiplying the height and the width.

12.5 × 16.2 = 202.5 cm²

Then, since you are going to find what the area of the larger rectangle is by multiplying the area of the smaller rectangle by 4.

202.5 × 4 = 810 cm²

After that, you are going to find what the height of the larger rectangle is by dividing the area, 810 cm², by the height, 25 cm.

810 ÷ 25 = 32.4 cm

So, the missing measurement is 32.4 cm.

Hope this helps!

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Complete the equation of the line through (-9,7) & (-6,-3)

scZoUnD [109]

Answer:

$y=-\frac{10}{3}x-23$

Step-by-step explanation:

we have the points

(-9,7) and (-6,-3)

step 1

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values

$m=\frac{-3-7}{-6+9}$

$m=-\frac{10}{3}$

step 2

Find the equation in point slope form

$y-y1=m(x-x1)$

we have

$m=-\frac{10}{3}$

$(x1,y1)=(-6,-3)$

substitute

$y+3=-\frac{10}{3}(x+6)$ ---> equation in point slope form

step 3

Find the equation of the line in slope intercept form

$y=mx+b$

we have

$y+3=-\frac{10}{3}(x+6)$

Isolate the variable y

Distribute right side

$y+3=-\frac{10}{3}x-20$

subtract 3 both sides

$y=-\frac{10}{3}x-20-3$

$y=-\frac{10}{3}x-23$

7 0

3 years ago

What is the answer to this equation<br> g + 5 = 16<br> g=?

stiv31 [10]

Answer:

G=11

Step-by-step explanation:

g+5=16

You need to get rid of the 5, so take away 5 from both sides.

16-5=11

g=11

7 0

3 years ago

Read 2 more answers

Find the 59th term of the following arithmetic sequence. 15, 23, 31, 39

m_a_m_a [10]

$15~~,~~\stackrel{15+8}{23}~~,~~\stackrel{23+8}{31}~~,~~\stackrel{31+8}{39}~~,~~...~\hspace{10em}\stackrel{common~difference}{d=8} \\\\[-0.35em] ~\dotfill\\\\ n^{th}\textit{ term of an arithmetic sequence} \\\\ a_n=a_1+(n-1)d\qquad \begin{cases} a_n=n^{th}\ term\\ n=\stackrel{\textit{term position}}{59}\\ a_1=\stackrel{\textit{first term}}{15}\\ d=\stackrel{\textit{common difference}}{8} \end{cases} \\\\\\ a_{59}=15+(59-1)8\implies a_{59}=15+472-8\implies a_{59}=479$