Answer:
68 degrees
Step-by-step explanation:
This triangle is an isosceles triangle which means that two sides have equal lengths and when two sides have equal lengths that means that two angles are the same. so you add 56 and 56 together and you get a sum of 112. all triangles add up to a degree of 180, so you therefore subtract 112 from 180 which gives you an answer of 68 degrees , therefore x is 68
Answer:
<u>The number is 170</u>
Step-by-step explanation:
Let's solve for x, this way:
x = A number that decreased by 20% of itself, the result is 136
20% = 0.2
x - 0.2x = 136 (Like terms)
0.8x = 136
x = 136/0.8 (Dividing by 0.8 at both sides)
x = 170
Let's prove that x = 170 is correct
170 - 0.2 (170) = 136
170 - 34 = 136
136 = 136
We proved that x = 170 is correct
It will take 6 weeks for the number of infected people to reach 1200
<h3>How to determine the number of weeks?</h3>
The function is given as:
y equals 15 times 2 to the power of t
Rewrite the function properly as follows
y = 15 * 2^t
When the population is 1200, the equation becomes
15 * 2^t = 1200
Divide both sides by 15
2^t = 80
Take the logarithm of both sides
t * log(2) = log(80)
Divide both sides by log(2)
t = 6.3
Approximate
t = 6
Hence, it will take 6 weeks for the number of infected people to reach 1200
Read more about exponential functions at:
brainly.com/question/11464095
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Answer:
About 300 of every 1,000 cars assembled should have one or more defects
Step-by-step explanation:
From the sample of 100 cars, we can estimate the total number of defective cars, using a rule of three.
In this question:
For each 100 cars, 30 defective.
How many defective for 1000?
100 cars - 30 defective
1000 cars - x defective
Simplifying by 100
About 300 of every 1,000 cars assembled should have one or more defects
Julio will receive $ 128 on the tenth day.
Given that Julio won a contest, and his cash prize is given to him in the following way: On the first day, Julio will receive $ 0.25, and for each successive day, the amount of money Julio receives doubles, to determine an explicit formula to represent the amount of money, f (d), in dollars, Julio receives d days after the first day, and determine how much money will Julio receive on the tenth day, the following calculations must be performed:
- 0.25 x 2 ^ D = F
- 0.25 x 2 ^ 9 = F
- 0.25 x 512 = F
- 128 = F
Therefore, Julio will receive $ 128 on the tenth day.
Learn more about maths in brainly.com/question/15983813