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n200080 [17]
3 years ago
12

17. An equation is shown.

Mathematics
1 answer:
Vladimir [108]3 years ago
7 0
The answer is 1 because 1x7=+7
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Find the perimeter and the area of the figure. Round answers to the nearest tenth.
vlada-n [284]

Answer:

34 rounded is 30

Step-by-step explanation:

15 plus 15 is 30 30 plus 4 is 34

7 0
3 years ago
Hello! How do I find the surface area of this prism? Thanks!
Studentka2010 [4]
Answer: Choice C) 124 square cm

------------------------------------------------------------------

Explanation:

Let's calculate the area of the trapezoid shown
b1 and b2 are the parallel bases; h is the height of the 2D trapezoid
b1 = 2
b2 = 5
h = 1.5

A = h*(b1+b2)/2
A = 1.5*(2+5)/2
A = 1.5*7/2
A = 10.5/2
A = 5.25
The area of one 2D trapezoid is 5.25 sq cm
There are two of these trapezoids that form the base faces of the trapezoidal prism. So the total base area is 2*5.25 = 10.5 sq cm
Keep this value (10.5) in mind. We'll use it later.

------------

Now onto the lateral surface area (LSA)
It turns out that the formula for the LSA is
LSA = p*d
where 
p = perimeter of the trapezoid shown
d = depth or height of the 3D trapezoid (I'm not using h as it was used earlier)
This formula works for any polygonal base. It doesn't have to be a trapezoid.

In this case the perimeter is,
p = 1.7+2+2.65+5
p = 11.35

So
LSA = p*d
LSA = 11.35*10
LSA = 113.5

Add this LSA to the base area found earlier
10.5+113.5 = 124

The total surface area is 124 square cm
8 0
3 years ago
C and d are complementary. The measure of c is 4x and the measure of d is 26. What is the value of x
const2013 [10]

Answer:

The value of x is 16.    

Step-by-step explanation:

We are given the following in the question:

c and d are complementary angles.

Measure of c = 4x

Measure of d = 26

Since c and d are complementary, we can write from property of complementary:

c + d = 90

Putting values, we get,

4x + 26 =90\\4x = 90-26 = 64\\\\\Rightarrow x = \dfrac{64}{4} = 16

Thus, value of x is 16.

6 0
3 years ago
our buses carrying 140 high school students arrive to Montreal. The buses carry, respectively, 31, 43, 27, and 39 students. One
Vinvika [58]

Answer:

V(X)= 39.10

V(Y)= 40

Step-by-step explanation:

Given that

Total number of student = 140

Bus A - 31

Bus B- 43

Bus C- 27

Bus D- 39

The probability that a student was on the bus is proportional to the number of student. Eg 31/140 in bus A, 43/140 on bus B, ...

E(X) = (31*31/140) + (43*43/140)  + (27*27/140) + (39*39/140)

=  35.5

Var(X) =(31-35.5)^2 \times \dfrac{31}{140}+(43-35.5)^2 \times \dfrac{43}{140}+(39-35.5)^2 \times \dfrac{39}{140}+(27-35.5)^2 \times \dfrac{27}{140}

V(X)= 39.10

The bus driver have  1/4 probability on being on any of the buses.

E(Y) = 140/4 = 35

Var(Y)=\dfrac{(35-31)^2+(35-43)^2+(35-27)^2+(35-39)^2}{4}

V(Y)= 40

7 0
3 years ago
What is 110.5 rounded to the nearest 5 and to the nearest 10
storchak [24]
Hello!

Here is your answer:

110.5 rounded to = 111= rounded to =110

Reason: That's because 5 is greater than 4 which means it goes up 1 but 10 rounded 10 11 is 10 because 1 is less than 5.

Your answer is =110

Hope this helps.
3 0
3 years ago
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