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Anni [7]
3 years ago
5

Plz help solve 7 and 8

Mathematics
1 answer:
lbvjy [14]3 years ago
3 0

Answer:

7) 16 sq units

8) L = 22 cm

Step-by-step explanation:

7) A = 1/2h·(sum of bases)

= 1/2(4)(5+3)

= 2(8) or 16 sq units

8) A (trapezoid) = 1/2(7)(10+12)

= 1/2(22)(7)

= 11(7) or 77 sq cm

To find 'l' in triangle:

A = 1/2·L·7

77 = 7L /2

7L = 154

L = 22 cm

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The length of a rectangle is 6m longer than its width. If the perimeter of the rectangle is 52m, find its area
sveticcg [70]
If length is x, then width is 6+x 
<span>Perimeter = 2*(x + 6+x) = 52 </span>
<span>2*6 + 2*2x = 52 </span>
<span>4x = 52 - 12 = 40 </span>
<span>x = 40/4 = 10 </span>

<span>Area = length*width = 10*(6+10) </span>
<span>Area = 10*16 = 160 meter square</span>
4 0
3 years ago
The trip is 870 miles, one way. How many miles do they travel there and back?
Natasha2012 [34]

Answer:

1740 miles

Step-by-step explanation:

They drive the way twice; once they go there and then they go home. Therefore, 870 times 2 equals 1740.

5 0
3 years ago
The Johnson twins were born four years after their older sister. This year, the product of the three siblings ages is exactly 34
svp [43]

Answer:

Step-by-step explanation:

Let age of each twin be x

let age of sister be s

So we can write:

x + 4 = s

The product of the 3 siblings ages is 3482 more than sum. We can write:

s*x*x=3482+(s+x+x)

This can be simplified as:

sx^2=3482+s+2x

We replace s with "x + 4" and solve:

(x+4)x^2=3482+x+4+2x\\x^3+4x^2=3486+3x\\x^3+4x^2-3x-3486=0\\x=14

<u>Note:</u> To solve this cubic, we used technology

Thus, we can say the twins are 14 years old

3 0
3 years ago
Find the center, vertices, and foci of the ellipse with equation x squared divided by 400 plus y squared divided by 625 = 1
Inessa05 [86]

Answer:

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X=sqrt. 400

x = 20

y^2=625

y = sqrt. 625

y= 25

a^2-c^2=b^2

sqrt 400-625 = c

20-25=c

The correct answer is c=-5

(-5,0)

(5,0)

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Find the value of C that completes the square
MatroZZZ [7]

Answer:

Step-by-step explanation:

y^2-22y+c

complete the square ax^2+bx+c is our old formula quadratic equation

we know that to find c we will divide b/2 and square it

22/2=11

c^2=121

we have y^2-22y+121

6 0
3 years ago
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