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wariber [46]
2 years ago
9

A diagram showing a neighborhood park is plotted on the coordinate plane. Each unit on the coordinate plane represents 1 yard. F

ind the PERIMETER and the AREA.

Mathematics
1 answer:
grandymaker [24]2 years ago
3 0

Answer:

Step-by-step explanation

The length of the left sloping line

= √ (5^2 + 7^2) = √74.

The right sloping line

= √(5^2 + 5^2) = √50.

So the perimeter:

= √74 + √50 + 2 + 2 * 4 + 14

= 39.67 to nearest hundreth.

Area = 1/2 * 5 * 7 + 2*5 + 1/2 * 5 * 5 + 4*14

= 96.

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(02.05)The figure shows three quadrilaterals on a coordinate grid:
LekaFEV [45]

Answer:

The correct option is A) Q and W are similar but not congruent.

Step-by-step explanation:

Consider the provided graph.

Figure Q is a quadrilateral with sides measuring 5 and 2

Figure S is a quadrilateral with sides measuring 5 and 2.

Figure W is a quadrilateral with sides measuring 10 and 4.

Two figures are similar if the shape of the figures are same but not necessarily same size.

Two figures are congruent if the size and shape of the figure are same.

Note: If two figures are congruent, then they are also similar, but converse is not true.

The dimensions of Q is equals to the corresponding dimensions of the rectangle S. Thus, Q and S are similar and congruent as they have the same shape and the same size.

The dimension of quadrilateral W is 2 times of quadrilateral Q and S. Thus the dimensions of W is proportional to dimensions of Q.

That means quadrilateral W is similar to Q and S but not congruent.

Thus, the correct option is A) Q and W are similar but not congruent.

5 0
4 years ago
Which expression is equivalent to (256x^16)^1/4<br> A.4x^2<br> B.4x^4<br> C. 64x^2<br> D. 64x^4
antiseptic1488 [7]

Given expression: (256x^{16})^{1/4}.

\mathrm{Apply\:exponent\:rule}:\quad \left(a\cdot \:b\right)^n=a^nb^n

=256^{\frac{1}{4}}\left(x^{16}\right)^{\frac{1}{4}}

256=4^4

256^{\frac{1}{4}}=\left(4^4\right)^{\frac{1}{4}}=4

\left(x^{16}\right)^{\frac{1}{4}}=x^{16\cdot \frac{1}{4}}=x^4

(256x^{16})^{1/4} =4x^4

<h3>Therefore, correct option is B option : B.4x^4</h3>
6 0
4 years ago
Read 2 more answers
A freshly prepared sample of curium-243 undergoes 3312 disintegrations per second. after 6.00 yr, the activity of the sample dec
Lerok [7]

I took the liberty of finding for the complete question. And here I believe that the problem asks for the half life of Curium. Assuming that the radioactive decay of Curium is of 1st order, therefore the rate equation is in the form of:

A = Ao e^(-kt)

where,

A = amount after t years = 2755

Ao = initial amount = 3312

k = rate constant

t = number of years passed = 6

 

Therefore the rate constant is:

2755/3312 = e^(-6k)

-6k = ln (2755/3312)

k = 0.0307/yr

 

The half life, t’, can be calculated using the formula:

t’ = ln 2 / k

Substituting the value of k:

t’ = ln 2 / 0.0307

t’ = 22.586 years

or

t’ = 22.6 years

4 0
4 years ago
Samantha drives 2,100 miles each week how many miles does she drive in 4 weeks​
adelina 88 [10]

Answer:8,400 miles

Step-by-step explanation: You would do 2,100•4 because you are driving 2,100 miles a week and there are 4 weeks you would have to times the amount of miles by how many weeks

6 0
3 years ago
Read 2 more answers
Given P = 2 (l + b) when l = 15 and P = 50,<br> find b
Firdavs [7]

Answer:

b = 10

Step-by-step explanation:

P = 2 (l + b)

l = 15

P = 50

Substitute

50 = 2 (15 + b)

multiply

50 = 30 + 2b

subtract

20 = 2b

divide

b = 10

6 0
3 years ago
Read 2 more answers
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