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Tju [1.3M]
3 years ago
13

a triangle with area 28 square inches has a height that is twi less than four times the base. find the base and the height if th

e tringle?
Mathematics
1 answer:
FromTheMoon [43]3 years ago
4 0

Answer:

b = 4 inches and h = 14 inches

Step-by-step explanation:

Given that,

The area of a triangle, A = 28 sq inches

Height is twice less than 4 times the base.

H = 4b-2, b is base

We know that,

The area of a triangle is given by :

A=\dfrac{1}{2}bh\\\\28=\dfrac{1}{2}\times b\times (4b-2)\\\\56=4b^2-2b\\\\28=2b^2-b\\\\b=4\ inches,-3.5\ inches

Base = 4 inches

Height = 4(4)-2

= 14 inches

Hence, this is the required solution.

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Solve x2 - 8x = 20 by completing the square. Which is the solution set of the equation?
Artyom0805 [142]

Answer:

{-2,10}

Step-by-step explanation:

x^2 - 8x = 20

Take the coefficient of x

-8

Divide by 2

-8/2 =-4

Square it

(-4)^2 =16

Add this to each side

x^2 - 8x+16 = 20+16

x^2 - 8x+16 = 36

The left hand side becomes( x + (-8/2) )^2

(x - 4)^2 = 36

Take the square root of each side

sqrt((x - 4)^2) =±sqrt( 36)

x-4 = ±6

Add 4 to each side

x-4+4 = 4±6

x = 4±6

x = 4+6       x = 4-6

x = 10        x = -2

3 0
4 years ago
(d) Sandy’s gross annual income is $51,350. She is paid biweekly and has 5% deducted from her paycheck for her 403(b). Her emplo
worty [1.4K]

Based on the annual income, the payment period, and the amount deducted for the 403(b), the amount deposited into Sandy's 403(b) is $220.

<h3>How much is deposited into Sandy's 403(b)?</h3>

First find the biweekly income:

= 51,350 / (52 weeks / 2 )

= 51,350 / 21 weeks

= $2,445.24

5% is deducted from her wages and the employer matches 4% of the salary. The amount deposited is:

= (5% + 4%) x 2,445.24

= $220

Find out more on 403(b) at brainly.com/question/2908111.

8 0
2 years ago
18/5 divided by 3/25<br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B18%7D%7B5%7D%20%20%5Cdiv%20%20%5Cfrac%7B3%7D%7B25%7D%20"
brilliants [131]

Answer:

30 or 30/1

Step-by-step explanation:

keep flip change

keep the first fraction the same, the second fraction Flipped and change the sign

18×25

5×3

=450/15

=30

4 0
2 years ago
Read 2 more answers
A circle with a radius of 5 sits in a 11 X 11 rectangle. What is the area of the shaded region?
Nataly_w [17]
Hi :) I'm guessing the shaded region is the region inside the rectangle but outside the circle.

To solve this problem, you need to find the area of the rectangle and area of the circle. Then subtract the circle's area from the rectangle's.

Area of a rectangle: length × width
The problem already tells you the area of the rectangle, because it says it is an 11 × 11 rectangle.
(11)(11) = 121

Area of rectangle: 121 units²


Area of a circle: \pi r^2
Plug in 5 for the radius r.

\pi 5^2 = 78.5

Area of circle: 78.5 units²


Now subtract 78.5 from 121.
121 - 78.5 = 42.5

The area of the shaded region is 42.5 units².
8 0
3 years ago
Which of the expression can be used to find the area of a square with a side length of 1/3 m
jonny [76]
1/3(2)=area
so the area is 2
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3
7 0
4 years ago
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