This figure consists of a rectangle and semicircle.

What is the area of this figure?

Use 3.14 for π.

Enter your answer as a decimal in the box.

ft²

Answer:

the last one

Step-by-step explanation:

the input cannot be negative

1, 2, 3 have the same solution

May Nilbin Be With You

Answer:

7, 22

Step-by-step explanation:

3!=6+6=12/3=4!=24-4=20-10=10-3=7

11-1=10+2=12/6=2x11=22

Answer:

7.7

Step-by-step explanation:

I did it on edu!

You can use the fact that area of a rectangle is its length times its width.

The length of the given rectangle is 28 feet.

Area of a rectangle is its length times its width.

If a rectangle has length x units and width y units, then we have:

[tex]Area = x \times y \: \rm unit^2[/tex]

Most of the times, you will get some other facts or information by which the unknown values of those items can be known. For simple daily life cases, we can use variables, which are nothing but just placeholders for those unknown values. We can then operate on those variables assuming them to be actual values, thus, getting near to their original values.

Let the length of the given rectangle be x units, and let its width be y

Then as it is given that

Length of the rectangle = 2 times width of the rectangle

or

[tex]x = 2 \times y[/tex]

We have area= 392 square feet

Since area = length times width, thus, we have

[tex]Area = x \times y\\392 = 2 \times y \times y\\\\\dfrac{392}{2} = y^2\\\\y^2 = 186\\\\\text{\:(Taking positive root on both the sides since y is width, a non negative quantity)}\\\\y = \sqrt{196} = 14[/tex]

Thus, the width of the rectangle is 14 feet

And thus, the length of the rectangle = double of width = 28 feet.

Thus,

The length of the given rectangle is 28 feet.

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Answer:

x = 23

Step-by-step explanation:

60°=x+14

60+14=84=X

Answer:

Step-by-step explanation:

a b c d

Answer:

The correct answer is (-1,-3)

Step-by-step explanation:

its right i think lol

Answer:

[tex]A = 2[/tex]

[tex]B = -1[/tex]

[tex]C = -9[/tex]

Step-by-step explanation:

Given

[tex]2x\² + 15x + 19 = Ax\² + 8Ax + 16A + Bx + 4B + C[/tex]

Required

Find A, B and C

Rearrange the expression

[tex]2x\² + 15x + 19 = Ax\² + 8Ax + 16A + Bx + 4B + C[/tex]

[tex]2x\² + 15x + 19 = Ax\² + 8Ax + Bx + 16A + 4B + C[/tex]

To do this, we simply compare the expressions on both sides of the equation.

So, we have:

[tex]Ax\² = 2x\²[/tex] --- (1)

[tex]8Ax + Bx = 15x[/tex] --- (2)

[tex]16A + 4B + C = 19[/tex] --- (3)

Divide both sides by x² in (1)

[tex]Ax\² = 2x\²[/tex]

[tex]A = 2[/tex]

Divide both sides by x in (2)

[tex]8Ax + Bx = 15x[/tex]

[tex]8A + B = 15[/tex]

Substitute 2 for A.

[tex]8*2 + B = 15[/tex]

[tex]16+ B = 15[/tex]

Make B the subject

[tex]B = 15 - 16[/tex]

[tex]B = -1[/tex]

Substitute 2 for A and -1 for B in (3)

[tex]16A + 4B + C = 19[/tex]

[tex]16*2 + 4*-1 + C = 19[/tex]

[tex]32 - 4 + C = 19[/tex]

[tex]28 + C = 19[/tex]

Make C the subject

[tex]C = 19 - 28[/tex]

[tex]C = -9[/tex]

Answer:

it D

Step-by-step explanation:

I just used elimination like a small brain

like so

when a = 1, b = 0, c = 3, d = -3

x^3 + 8x – 3 = Ax^3 + 5Ax + Bx^2 + 5B + Cx + D

Answer:

122.6 m

Step-by-step explanation:

Shadow cast by the man = 3.1 m

Height of the man = 1.9 m

Shadow cast by the lighthouse = 200 m

Height of the lighthouse = x

If two shapes are similar, the ratio of their corresponding sides would be equal.

Therefore,

x/1.9 = 200/3.1

Multiply both sides by 1.9

x = (200*1.9)/3.1

x = 122.6 m (nearest tenth)

The lighthouse is 122.6 m tall

Answer:

c

Step-by-step explanation:

none of them equal (x+y)-(-z)

Answer:

1

Step-by-step explanation:

-16 + x = -15

+16          +16

x = 1 because -15 + 16 is 1

Answer:

14 dimes and 4 quarters

Step-by-step explanation:

x= number of dimes

y=number of quarters

x-10=y

0.10x+0.25y=2.40

substitute for y

0.10x+0.25(x-10)=2.40

0.35x-2.50=2.40

0.35x=4.90

x=14

y=4

Answer:

See explanations below

Step-by-step explanation:

Given the functions

f(x) = 12x - 12

g(x) = x/12 - 1

To show they are inverses, we, must show that f(g(x)) = g(f(x))

f(g(x)) = f(x/12 - 1)

Replace x with x/12 - 1 into f(x)

f(g(x)) =12((x-12)/12) - 11

f(g(x)) =  x-1 - 1

f(g(x)) =x - 2

Similarly for g(f(x))

g(f(x)) = g(12x-12)

g(f(x)) =(12x-12)/12 - 1

12(x-1)/12 - 1

x-1 - 1

x - 2

Since f(g(x)) = g(f(x)) = x -2, hence they are inverses of each other

Answer:

Step-by-step explanation:

The equation for that is

[tex]x^2+3x=70[/tex]

If we subtract over the 70, we have a quadratic that we can factor to solve for the values of x that will make that equation true.

[tex]x^2+3x-70=0[/tex]

Now we need the factors of 70 that will either add or subtract to give us the linear term of 3. The factors of 70 that will work are 10 and 7. 10 times 7 is 70, and 10 - 7 = 3:

[tex]x^2+10x-7x-70=0[/tex] and now we will factor by grouping:

[tex](x^2+10x)-(7x-70)=0[/tex] and factor out what's common:

[tex]x(x+10)-7(x+10)=0[/tex]

The factor (x + 10) is common, so we will now factor that out:

[tex](x+10)(x-7)=0[/tex]

By the Zero Product Property, either x + 10 = 0 or x - 7 = 0, so x = -10 or 7

Those are the 2 numbers that will work.

[tex](-10)^2+3(-10)=70[/tex] simplifies to

100 - 30 which does in fact equal 70. OR

[tex](7)^2+3(7)=70[/tex] which simplifies to

49 + 21 which also equals 70.

So you're done!

The values of the unknown number is 7 or - 10

The given expression from words to algebra;

let the unknown number = n

the square of the number = n²

three times the number = 3n

n² + 3n = 70

To find:

The values of n is calculated as follows;

[tex]n^2 + 3n = 70\\\\n^2 + 3n - 70 = 0\\\\factorize \ the \ equation;\\\\n^2 + 10n - 7n - 70 = 0\\\\n(n + 10) - 7(n + 10) = 0\\\\(n-7)(n+ 10) = 0\\\\n = 7 \ or \ - 10[/tex]

Thus, the values of the unknown number is 7 or - 10

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9514 1404 393

Answer:

  S > 2

Step-by-step explanation:

In this context, "over" means "greater than." The problem statement tells you the weight (S) is greater than 2 kilograms:

  S > 2

Answer:

D im pretty sure. "Uses a convex eyepiece lens”

Step-by-step explanation:

I am taking quiz rn

The correct label that could be written in the area marked X is "Uses a convex eyepiece lens".

The Venn diagram is a mathematical representation of the system of scenarios.

Here,
The overlapping area between the two circles represents the features that both types of telescopes share. Reflecting telescopes use concave eyepiece lenses the primary optical element while refracting telescopes use a convex eyepiece lens. So the X in the overlapping area represents the fact that there are some telescopes that “Use a convex eyepiece lens".

A concave mirror is used in reflecting telescopes to collect and focus light, while a convex eyepiece lens is used to magnify the image. The other two options ("Uses a convex mirror" and "Uses a concave mirror") are not accurate for both types of telescopes.

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#SPJ6

Answer:

Mathematical expectation is to get  %280%2B3%2B7%2B22%29%2F4 = 32%2F4 = 8 dollars from the envelopes.

Statistically, it is loosing game.Step-by-step explanation:

Answer:

Connie

Step-by-step explanation:

Determine the reading rate of the three students each. The student with the highest number of pages per minute is the fastest student (i.e. reads more words per minute).

✔️Stew's Reading Rate:

2650 ÷ 10 = 265 words per minute

✔️Connie's Reading Rate:

From the graph, it shows that 200 words are read in 1 minute.

So we have, 200 words per minute.

✔️Felicia = 260 words per minute

Therefore, we can conclude that Connie is the fastest because Connie reads more words per minute, which is 265 words per minute. Connie reads at a faster rate.

Answer:

slope is 5

Step-by-step explanation:

use formula (y2-y1)/(x2-x1) to find the slope

(2-(-3))/(6-5)

= 5/1

=5

if you want the equation to the graph here:

y=mx+b

2=5(2)+b

2=10+b

b=-8

equation: y=5x-8

Answer:

A. 5.34

Step-by-step explanation:

Reference angle = 24°

Opposite = x

Adjacent = 12

Thus, applying trigonometric ratio, we have:

tan (24) = x/12

Multiply both besides by 12

12*tan (24) = x

x = 5.34 (nearest hundredth)

Answer:

no entender veri mucho......aaaa

Step-by-step explanation:

step 1. 24x - 38 = 46 (distributive property)

step 2. 24x = 84 (add 38 to both sides)

step 3. x = 84/24 = 21/6 = 7/2 (divide by 24 and simplify).

Answer:

Step-by-step explanation:

Both of the graphs include infinite number of points.

The solution is the common point that belongs to both of the graphs, the intersection point.

We can see it is the point (1, 5)

This is the point when the temperature change is positive 1 degree.  At this point number of visitors is equal to number of those leaving the part early.

Answer:

13,243

Step-by-step explanation:

hope this helps

i am bad at math

Answer:

9/40

Step-by-step explanation:

22.5/100

(22.5*10)(100*10)= 225/1000

225 ÷ 25/ 1000÷25 = 9/40

Answer:

i got you.

whats up

Step-by-step explanation:

Answer: it's b on edge

Step-by-step explanation: