What is the area of the figure

Mathematics

1 answer:

topjm [15]2 years ago

7 0

Answer:108 ins. squared

Step-by-step explanation:

So first you want to decide which way you want to divide the shape.

I am going to do it this way...

So the bottom is 16ins. and the top part is 10 ins.

So when you subtract 16-10 you get 6.

This means that the small portion sticking up is 6 ins. across.

According the left side the width with the small part is 8 ins.

So now we find the area of that half.

6 times 8 is 48ins.

Now we are going to get the other part.

The top says it is 10 ins.

The side says it is 6 ins.

Now we multiply 10 by 6 nd get 60 ins

We are almost finished, all we have to do is add 60 and 48.

Your answer is 108ins.squared.

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How to solve using substitution y=3/4X+5 4x-3y=-1

Pachacha [2.7K]

Please, use parentheses to enclose each fraction:
y=3/4X+5 should be written as y=(3/4)X+5

Let's eliminate the fraction 3/4 by multiplying the above equation through by 4:

4[y] = 4[(3/4)x + 5]
Then 4y = 3x + 20
(no fraction here)

Let 's now solve the system

4y=3x + 20
4x-3y=-1

We are to solve this system using subtraction. To accomplish this, multiply the first equation by 3 and the second equation by 4. Here's what happens:

12y = 9x + 60 (first equation)
16x-12y = -4, or -12y = -4 - 16x (second equation)

Then we have

12y = 9x + 60
-12y =-16x - 4

If we add here, 12y-12y becomes zero and we then have 0 = -7x + 56.
Solving this for x: 7x = 56; x=8

We were given equations
y=3/4X+5
4x-3y=-1

We can subst. x=8 into either of these eqn's to find y. Let's try the first one:

y = (3/4)(8)+5 = 6+5=11

Then x=8 and y=11.

You should check this result. Subst. x=8 and y=11 into the second given equation. Is this equation now true?

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2 years ago

If r=20.5 and s=34.2 find S Round to the nearest tenth

astraxan [27]

Answer: option d

Step-by-step explanation:

Remember the identity:

$tan\alpha=\frac{opposite}{adjacent}$

The inverse of the tangent function is arctangent. You need to use this to calculate the angle "S":

$\alpha =arctan(\frac{opposite}{adjacent})$

Knowing that: you need to find the measure of the angle "S" , $r=20.5$ (which is the adjacent side) and $s=34.2$ (which is the opposite side), you can sustitute values into $\alpha =arctan(\frac{opposite}{adjacent})$