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3 years ago

Pls help ps it says to show all work

Mathematics

1 answer:

spayn [35]3 years ago

8 0

Answer:

Step-by-step explanation:

x =27-9

=18

<h3>I hope it's helpful for you</h3>

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If point G is rotated 90 degrees counter clockwise around the origin, what is the resulting point?

Alex787 [66]

Answer: Point F

Step-by-step explanation:

the formula for rotation of 90 degrees counter-clockwise is (-y, x).

G=(-3,-2)

After 90 degrees counter-clockwise G is =(2,-3) which is equal to point F.

5 0

3 years ago

A semi-circle window can be used above a doorway or as an accent window

anzhelika [568]

A semicircle is a part of a circle, and it is referred to as half of a given circle. Thud the area of the semi-circle window is 982 $in^{2}$ .

A circle is a shape that is bounded by a curved path which is referred to as the circumference. Some parts of a circle are radius, diameter, sector, arc, semi-circle, circumference, etc.

A semicircle is a part of a circle, and it is referred to as half of a given circle.

such that:

Area of a circle = $\pi$ $r^{2}$

and

area of a semicircle = $\frac{\pi r^{2} }{2}$

where: r is the radius of the circle, and $\pi$ is a constant with a value of $\frac{22}{7}$ .

Thus from the given question, it can be inferred that;

r = $\frac{50}{2}$

= 25

r = 25 in

Thus, the area of the semi-circle can be determined as;

area of the semi-circle = $\frac{1}{2}$ * $\frac{22}{7}$ * $25^{2}$

= 982.1429

area of the semi-circle = 982.14 $in^{2}$

The area of the semi-circle window is approximately 982 $in^{2}$ .

for more clarifications on the area of a semi-circle, visit: brainly.com/question/15937849

#SPJ 1

8 0

2 years ago

What are easy ways to study for the EOG and NCFE?

vesna_86 [32]

I am an organized person, so i make a checklist of all my notes and study them in order and that helps me a lot for the EOGs

4 0

4 years ago

Find y. Round to the nearest tenth. Z 17 ft 8 ft Х 16 ft Y

stealth61 [152]

Answer:

19.75 degrees

Step-by-step explanation:

$cos \: x = \frac{adja}{hypo}$

$cos \: y = \frac{16}{17}$

$y = {cos}^{ - 1} \frac{16}{17}$

$y = 19.75 \: degrees$

6 0

3 years ago

Find all sides of a right triangle whose perimeter is equal to 60 cm and its area is equal to 150 square cm

miskamm [114]

Answer:

15cm by 20cm by 25cm

Step-by-step explanation:

Let the sides of the right angle be x, y and h

x is the breadth

y is the height

h is the hypotenuse

Perimeter = x + y + h

x + y +h = 60

x+y = 60-h .... 1

If its area is equal to 150 square cm, then;

Area = 1/2 * base * height

Area = 1/2 *x * y

xy/2 = 150

xy = 300 ....2

According to pythagoras theorem;

x² + y² = h²

On expanding x² + y²

x² + y² = (x+y)² - 2xy

The equation becomes

(x+y)² - 2xy = h² ... 3

Substitute equation 1 and 2 into 3;

From 3;

(x+y)² - 2xy = h² ... 3

(60-h)² - 2(300) = h²

3600-120h + h² - 600 = h²

3600-120h - 600 = 0

-120h = 600-3600

-120h = -3000

h = 3000/120

h = 25cm

Recall that x+y+h = 60

x+y+25 = 60

x+y = 60 - 25

x+y = 35 ... 4

From equation 2;

xy = 300

x = 300/y ..... 5

Substitute 5 into 4;

300/y + y = 35

(300+y²)/y = 35

300+y² = 35y

y²-35y + 300 = 0

y²-20y-15y + 300 = 0

y(y-20)-15(y-20) = 0

y-20 = 0 and y - 15 =0

y = 20 and 15

since x+y = 35

x + 20 = 35

x = 35 - 20

x = 15

Hence the sides of the triangle are 15cm by 20cm by 25cm

8 0

3 years ago