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UNO [17]
3 years ago
6

Find the area of the shaded region. 8 in 24 in

Mathematics
1 answer:
zloy xaker [14]3 years ago
4 0

Answer:

96 in^2

Step-by-step explanation:

area of rectangle: 24*8=192

Area of triangle: (1/2)*base*height

= .5 * 8 * 24

=192/2

=96

area of shaded=rectangle - triangle

= 192-96

which is also just 192/2

so it is 96

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A circle has a circumference of 16 pi inches. What is the radius of the circle?
jekas [21]
The radius is 8, just divide by 2
4 0
4 years ago
Explain what you can tell just by comparing the symbols in the picture graph
olchik [2.2K]
Picture graphs usually show amounts using...pictures! So if you looked at the symbols, you can likely guess the amounts. It might show how many students preferred hamburgers by using a hamburger to represent every 5 students. Just by quickly glancing at a picture graph, you can usually tell which result is the greatest.
4 0
4 years ago
in the diagram, a building casts a 35-ft shadow and a flagpole casts a 10-ft shadow. if the flagpole is 22tall, how tall is the
8_murik_8 [283]

Let, the height of the building be x ft.

Given the building casts 35ft shadow.

The height of the flagpole given which is 22ft and casts a shadow of 10ft.

Now to find the height of the building we have to equate the ratio of height and shadow of the building and the flagpole.

So we can write,

x/35 = 22/10

To find x, we have to get rid of 35 from the left side and have to move it to right side. As 35 is divided there, we will multiply 35 to both sides.

(x/35)× 35 = (22/10)×35

x = (22×35)/10

x = 770/10

x = 77

So, the height of the building is 77 ft which is the required answer here.

8 0
3 years ago
Use the given information to find the P-value. Also, use a 0.05 significance level and state the conclusion about the null hypot
Nina [5.8K]

Answer: a. 0.1031; fail to reject the null hypothesis

Step-by-step explanation:

Given: Significance level : \alpha=0.05

The test statistic in a two-tailed test is z = -1.63.

The P-value for two-tailed test : 2P(Z>|z|)=2P(Z>|-1.63|)=0.1031 [By p-value table]

Since, 0.1031 > 0.05

i.e. p-value > \alpha

So, we fail to reject the null hypothesis. [When p<\alpha then we reject null hypothesis  ]

So, the correct option is a. 0.1031; fail to reject the null hypothesis.

8 0
3 years ago
See attached picture
yanalaym [24]

Answer:

\frac{f(x+h)-f(x)}{h}=2x + h

Step-by-step explanation:

Given

f(x)= x^2 + 2

Required

Determine: \frac{f(x+h)-f(x)}{h}

First, we calculate f(x + h)

f(x)= x^2 + 2

f(x+h) = (x+h)^2+2

f(x+h) = x^2+2xh+h^2+2

So, we have:

\frac{f(x+h)-f(x)}{h} = \frac{x^2 + 2xh + h^2 + 2 - x^2 - 2}{h}

\frac{f(x+h)-f(x)}{h}= \frac{x^2 - x^2+ 2xh + h^2 + 2  - 2}{h}

\frac{f(x+h)-f(x)}{h} = \frac{2xh + h^2}{h}

\frac{f(x+h)-f(x)}{h}=2x + h

8 0
3 years ago
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