1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Thepotemich [5.8K]
4 years ago
13

Two of the angles in a triangle measure 18° and 72°. What is the measure of the third angle?

Mathematics
1 answer:
Delvig [45]4 years ago
6 0

Answer:

Step-by-step explanation:

the sum of angles in a triangle is 180 degrees

18 + 72 + X = 180

90 + X = 180

X = 180 -90

X = 90

You might be interested in
The exponential function modeled by the following table?
GuDViN [60]

Answer:

f(x)=3^x

Step-by-step explanation:

From the table;

When x=2, y=9=3^2

When x=3, y=27=3^3

When x=4, y=81=3^4

We can infer from the pattern that;

f(x)=3^x

4 0
3 years ago
A research firm wants to compute an interval estimate with 90% confidence for the mean time to complete an employment test. Assu
gavmur [86]

Answer:

b. 98

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.9}{2} = 0.05

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.05 = 0.95, so z = 1.645

Now, find M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

In this problem, we have that:

M = 0.5, \sigma = 3

M = z*\frac{\sigma}{\sqrt{n}}

0.5 = 1.645*\frac{3}{\sqrt{n}}

0.5\sqrt{n} = 4.935

\sqrt{n} = 9.87

n = 97.42

So a sample of at least 98 is required.

The correct answer is:

b. 98

5 0
3 years ago
Ahmad just bought a used sailboat with two sails that need replacing. How much sail fabric will Ahmad need if he replaces sail A
ValentinkaMS [17]

Answer:

sail a = 81ft²

sail b base = 12ft

Step-by-step explanation:

question 5:

the measurements for sail A are 18ft(height) and 9ft (base)

the formula to find the the area of a triangle is (b · h) 1/2

(9 · 18) 1/2 = (162) 1/2 = 81

so ahmad will need 81ft² of fabric for sail a

question 6:

we know that the formula to find the area of a triangle is  (b · h) 1/2 = a, since we know the height and the area of the triangle we plug them into the equation to find the measurement of the base.  

(b · 18) 1/2 = 108

\frac{(b . 18) 1/2}{1/2} = 108/ 1/2

(b · 18) = 216

18b  = 216

18b/18 = 216/18

b= 12

check your work:

(12 · 18) 1/2 = 108

(216) 1/2 = 108

108 = 108  true!

the base measurement for sail b is 12ft

hope this helps and have a great day!!

8 0
3 years ago
Part A and Part B for Max's car together cost $1,693 dollars, Part A cost $58 dollars
Oksanka [162]

Answer:

  Part A:   1148

  Part B:   545

Step-by-step explanation:

  Part A:   2x + 58

  Part B:   x

  2x + 58 + x = 1693

        3x + 58 = 1693

                3x = 1635

                  x = 545

  Part A:   2x + 58  =  2(545) + 58 = 1148

  Part B:   x = 545

8 0
3 years ago
Four times a number<br> increased by five
Ratling [72]

Answer:

y x 4 + 5

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • Eric traveled 6 miles in 15 minutes. Find the rate of speed.
    6·1 answer
  • When two equal forces are inclined at an angle 2a their resultant is twice as great as
    9·1 answer
  • Use the probability distribution table to answer the question. What is P(2≤X≤5)? Enter your answer, as a decimal, in the box.
    6·2 answers
  • You invested $21,000 in two accounts paying 2% and 4% annual interest, respectively.
    13·2 answers
  • Write any two quadratic equations​.
    9·1 answer
  • Which ordered pair makes the following equation true? y = 3x - 7
    15·1 answer
  • Giving brainiest to the correct answer
    11·2 answers
  • 16 is the geometric mean of 8 and what other number?
    11·1 answer
  • Find the sum of the following series
    8·1 answer
  • The function y=x²-4x+8 approximates the height, y, of a bird, and its horizontal distance, x, as it flies from one
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!