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Dennis_Churaev [7]
3 years ago
13

Your next math test is worth 111 points and contains 32 problems. Each problem is worth either 4 points or 3 points. How many 3

point problems are on the test?
Mathematics
1 answer:
AysviL [449]3 years ago
6 0
There are a total of 32 problems.

Assumed all 32 problems are 3 points questions ⇒ 32 x 3 = 96 points.

The test is worth 111 points, so there is an extra of 111-96 points = 15 points.

The difference in points in the 2 type of questions is 4 - 3 = 1 points.

Number of 4 points questions = 15 ÷ 1 = 15. 

Number of 3 points questions = 32 - 15 = 17.

Answer: There are 17 3-points questions and 15 4-points questions.
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Solve the right triangle ABC with right angle C if B = 30° and c = 10.
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Step-by-step explanation:

Answer:


Last choice is correct.


Step-by-step explanation:


Given that ∠C=90°, ∠B=30°, c=10


We know that sum of all angles in a triangle is 180 degree.


∠A+∠B+∠C=180°


∠A+∠30°+∠90°=180°


∠A+∠120°=180°


∠A=60°


Now we can use sin or cos whichever applicable to find missing sides


2b=10


b=5


Similarly


a=8.6602


Hence last choice is correct.

6 0
3 years ago
A farmer wants to put a fence around a garden in the shape of a square. The fence posts are placed every 2 meters. One side of t
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Answer:

The farmer would need 80 posts.

Step-by-step explanation:

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3 years ago
A way of computing the possible number of outcomes in an experiment. it is called the ___ principle.
VikaD [51]
The answer in the blank is counting
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HELLPPPPP PLS INCLUDE EXPLANATION ON HOW TO DO IT SO I CAN DO IT ON MY OWN!!!!
ale4655 [162]

Answer: 0.000021 in scientific notation is

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Step-by-step explanation:

All numbers in scientific notation or standard form are written in the form

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To convert 0.000021 into scientific notation, follow these steps:

Move the decimal 5 times to right in the number so that the resulting number, m = 2.1, is greater than or equal to 1 but less than 10

Since we moved the decimal to the right the exponent n is negative

n = -5

Write in the scientific notation form m × 10n

= 2.1 × 10-5

Therefore,

2.1 × 10-5 is the scientific notation form of 0.000021 number and 2.1e-5 is the scientific e-notation form for 0.000021

** Hope this helps you! Good Luck!

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3 years ago
Kelsey wants to split 19.2 feet of ribbon equally
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Step-by-step explanation:

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