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Citrus2011 [14]
3 years ago
6

Find the area of the trapezoid

Mathematics
1 answer:
Vladimir79 [104]3 years ago
7 0
Area = 1/2 x (a+b) x h

= 1/2 x ( 5+ 13) x 17
=1/2 x 18 x 17
= 153cm. (a and b are the two parallel lines. H is height.)
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Find the measure of the indicated angle to the nearest degree.
fredd [130]

Step-by-step explanation:

Let the measure of required angle be x degree

\therefore \tan \: x =  \frac{33}{56}  \\  \\ \therefore \tan \: x =  0.589285714  \\  \\ \therefore  \: x =   {\tan}^{ - 1} (0.589285714)  \\  \\  \therefore  \: x =   {\tan}^{ - 1} ( \tan \: 30.510237394 \degree) \\  \\    \huge \red{ \boxed{\therefore  \: x =   31\degree}}

Thus, first option is the correct answer.

3 0
3 years ago
please help me with this math problem, the question is on the picture that i attached, ill mark brainliest if the answer is corr
dsp73

Answer:

cos z = 35 / 37

Step-by-step explanation:

cos z is the ratio of the adjacent side of a triangle (the side adjacent to angle z to the hypotenuse:

cos z = (adj. side) / (hypotenuse)

Here we have cos z = 35 / 37

7 0
3 years ago
What is the equation of the line that passes through (–2, 3) and is parallel to 2x + 3y = 6?
sergeinik [125]
If they are parallel then the coefficients of x and y will remain the same.  Only the constant will change.

2x + 3y = ?
2(-2) +3(3) = -4 + 9 = 5 so ? is 5

ANSWER: 2x + 3y = 5
6 0
3 years ago
A segment has an endpoint at (2, 4) and a midpoint at (4. 2). What are the coordinates of the other endpoint (2, 10) B. (3, 1) C
stiks02 [169]

Answer:

b

Step-by-step explanation:

6 0
3 years ago
Total world consumption of iron was approximately 900 million tons in 1993. If consumption had increased by 2.5% each year and t
Lilit [14]

Step-by-step explanation:

We can model the annual consumption of iron by the equation

c = 900 million tons x 1.025^n, where

n is the number of years after 1993 and

c is the consumption for that year.

An estimate for the total consumption of iron can now be obtained by integrating this equation with respect to a dummy variable, x from 0 to n.

C = 900*10^6* \int\limits^n_0 {1.025^x} \, dx

This equation simplifies to

C = 900 million tons x (1.025^n - 1) / ln(1.025), where

x is a dummy variable and

C is the total consumption of iron n years after 1993.

Let R be the amount of iron remaining at n years after 1993, so

R = 480 billion tons - C

R = 480 billion tons - 900 million tons x (1.025^n - 1) / ln(1.025)

We need to find the value of n when R is 0, so

0 = 480 billion tons - 900 million tons x (1.025^n - 1) / ln(1.025)

Simplify this equation to obtain

n = 107.4

So the iron will run out in the year 1993 + 107 = 2100

6 0
3 years ago
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