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Basile [38]
2 years ago
6

Find the value of x. Round to the nearest tenth.

Mathematics
1 answer:
STALIN [3.7K]2 years ago
6 0

Answer:

x = 10.2

Step-by-step explanation:

To find x, use Cosine

Cosine = \frac{adjacent}{hypothenuse}

⇒ Cosine 22 = \frac{x}{11}

Cosine of 22 is 0.93

⇒ 0.93 =  \frac{x}{11}

Multiply 11 on both sides:

⇒ 0.93 x 11 = \frac{x}{11} x 11

⇒ 10.23

Round to the nearest tenth:

10.23 ⇒ 10.2

x = 10.2

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Point F is at (0, -10) and point H is at (-6, 5). Find the coordinates of point G on line segment FH such that the ratio of FG t
Tanya [424]

Answer:

G(x,y)=(-4,0)

Step-by-step explanation:

We use the section formula:

(x,y)=\left(\dfrac{mx_2+nx_1}{m+n}, \dfrac{my_2+ny_1}{m+n}\right)

Given:

F(x_1,y_1)=(0, -10)\\H(x_2,y_2)=(-6, 5)\\FG:GH=m:n=2:1

We substitute the values to get:

G(x,y)=\left(\dfrac{2*-6+1*0}{2+1}, \dfrac{2*5+1*-10}{2+1}\right)\\=\left(\dfrac{-12}{3}, \dfrac{10-10}{3}\right)\\=\left(\dfrac{-12}{3}, \dfrac{0}{3}\right)\\\\G(x,y)=(-4,0)

5 0
3 years ago
*<br> ate: Find 8% of 40.<br> nt)
olasank [31]
The answer is 3.2.
3 0
3 years ago
Read 2 more answers
How to find the zeros of f(x)=5(2x-5)(5x+4)
Elenna [48]
If xy=0 we assume x and y equal 0

so

the zeros are wehre f(x)=0
0=5(2x-5)(5x+4)
set each to zero
5 is not equal 0 so we don't do that

0=2x-5
5=2x
5/2=x

0=5x+4
-4=5x
-4/5=x

zeroes at x=5/2 and -4/5
3 0
2 years ago
Read 2 more answers
the length of a rectangle exceeds its width by 17 inches, and the area is 18 square inches. what are the length and width of the
dimaraw [331]

The length and width of the rectangle are 18 in and 1 in, respectively.

<h3>Quadrilaterals</h3>

There are different types of quadrilaterals, for example, square, rectangle, rhombus, trapezoid, and parallelogram.  Each type is defined accordingly to its length of sides and angles. For example, in a rectangle,  the opposite sides are equal and parallel and their interior angles are equal to 90°.

The area of a rectangle can be found for the formula : b*h, where b = base and h =height.

For this question, the length exceeds its width by 17 inches - L=W+17. Here, the length is the base and the width is the height. Thus,  from the value of area given, you can find the values of the length and width of the rectangle.

A=b*h

18=(W+17)*W

18=W²+17W

W²+17W-18=0

Solving this quadratic equation, you have:

w_{1,\:2}=\frac{-17\pm \sqrt{17^2-4\cdot \:1\cdot \left(-18\right)}}{2\cdot \:1}

w_{1,\:2}=\frac{-17\pm \:19}{2\cdot \:1}

w1=1 and w2= -18

For dimensions, only positive numbers must be used. Then, the width is equal to 1 inch.

As, the area (l*w) is 18 in², see.

18=l*w

18=l*1

l=18 in

Read more about the area of rectangle here:

brainly.com/question/25292087

#SPJ1

5 0
1 year ago
What is 250.6 rounded to the nearest hundredth?
musickatia [10]
250.6 is your number

The "6" in .6 right after the decimal is the tenths place

So right after the tenths place is the hundredths place

But as you can see in 250.6, there is no hundredths place you can see so it is 0

250.60 is the same as 250.6

So 250.6 is already rounded to the nearest hundredths
3 0
3 years ago
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