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3 years ago

4x+8=22-6 solve for x

Mathematics

1 answer:

Digiron [165]3 years ago

6 0

=> 4x = 16 - 8
=>4x= 8
=> x= 2

in short the answer is 2

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An electrician leans an extension ladder against the outside wall of a house so that it reaches an electric box 22 feet up. The

jeka57 [31]

The ladder and the outside wall form a right triangle

The length of the ladder is 97.8 feet

<h3>How to determine the length of the ladder?</h3>

The given parameters are:

Distance (B) = 22 feet

Angle of elevation (θ) = 77 degrees

The length (L) of the ladder is calculated using the following cosine ratio

cos(θ) = B/L

So, we have:

cos(77) = 22/L

Make L the subject

L = 22/cos(77)

Evaluate the product

L = 97.8

Hence, the length of the ladder is 97.8 feet

Read more about right triangles at:

brainly.com/question/2437195

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2 years ago

Which points are reflections of each other across both axes?

WITCHER [35]

Answer:

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3 years ago

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A semicircle is attached to the side of a rectangle as shown.

laiz [17]

Answer:

$58.8\ mm^2$

Step-by-step explanation:

we know that

The area of the figure is equal to the area of rectangle plus the area of semicircle

step 1

Find the area of rectangle

The area of rectangle is equal to

$A=bh$

where

$b=9\ mm\\h=3\ mm$

substitute

$A=(9)(3)=27\ mm^2$

step 2

Find the area of semicircle

The area of semicircle is equal to

$A=\frac{1}{2}\pi r^{2}$

we have

$r=9/2=4.5\ mm$ ---> the radius is half the diameter

$\pi =3.14$

substitute

$A=\frac{1}{2}(3.14) (4.5)^{2}$

$A=31.8\ mm^2$

step 3

Find the area of the figure

$A=27+31.8=58.8\ mm^2$

4 0

4 years ago

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Alex787 [66]

52% I hope this helps:)

3 0

3 years ago

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what is the y intercept of the line with a slope of - 4/7 that also passes through the point (7 , - 7/2) ?

kondor19780726 [428]

The answer is the last option: $\frac{1}{2}$

Explanation:

1. You have that the equation of the line is:

$y=mx+b$

Where $m$ is the slope of the line and $b$ is the intercept with the y-axis.

2. Therefore, you must find $b$ .

3. Then, you must substitute the points given in the problem and the slope into the equation of the line and solve for $b$ , as following:

$y=mx+b\\-\frac{7}{2}=(-\frac{4}{7})(7)+b\\-\frac{7}{2}=-4+b\\b=\frac{1}{2}$

8 0

3 years ago