A building lot in a city is shaped as a 30°-60°-90° triangle, like the figure shown. The side opposite the 30° angle measures 41 feet.
a. Find the length of the side of the lot opposite the 60° angle.
Show how you know.
b. Find the length of the hypotenuse of the triangular lot.
Show how you know.
Answer: a) 71.01408311ft
b)82ft
Step-by-step explanation: Definition of 30-60-90 degree triangle, "a right triangle in which the angle measure 30-60-90 degrees. The hypotenuse is twice the shorted leg and the longer leg is square root of 3 times longer than the shorter."
a) x √3 = 41 √3 = 71.01408311
b) 2x = 2(41) = 82 ft
Select the
Suppose Phil reads a book that contains 16 conspiracy theories. When he researches the
theories, he finds that 75% of them are false. How many of the theories are true?
Answer:
4 of the conspiracy theories were true
Step-by-step explanation:
Percentages
Phil read a book with 16 conspiracy theories, 75% of which were false. It means that 25% of them were true.
25% of 16 is 25 * 16 / 100 =400 / 100 = 4
Thus, 4 of the conspiracy theories were true
Which of the following is equivalent to 7^2•7^5•2^2/7^3•2^6
When you add, you subtract the exponents. When you divide, you subtract the exponents.
When you have multiplication and division in one expression, you do it from left to right.
7^2 times 7^5 = 7^ (2+5) = 7^7
7^7 times 2^2 / 7^3 = 7 ^(7 - 3) times 2^2
7^4 times 2^2 times 2^6 = 7^4 times 2^(2+6) = 7^4 times 2^8
Put it in a calculator.
614656.
That is the answer, but you didn't include the "which of the following", so I guess you'll have to put each value in the calculator to find out!
If the 7^3 times 2^6 is in parenthesis, then the answer is 150.0625.
6 TH grade math
On a hot day, Myra poured 4 1/8 buckets of water into a plastic wading pool. A few minutes later she added another 3 5/8 buckets. How much water did Myra pour into the pool?
Answer:
7 3/4
Step-by-step explanation:
4 1/8 + 3 5/8
Add the whole numbers, 4 + 3 = 7.
Add the fractions, 1/8 + 5/8 = 6/8.
You get 7 6/8. Simplify 6/8 to get 3/4.
Your answer is 7 3/4.
Which statement is true
Answer:
b
Step-by-step explanation:
Answer:
the answer is B
Step-by-step explanation:
fun quashen first to answer correctly is getting 20 points ( usely you get 5 i am giving 20 ) do it correct and fast .
Answer:
the answer is D
Step-by-step explanation:
Classify the following triangle. Check all that apply.
A. Right
B. Isosceles
C. Obtuse
D. Acute
E. Equilateral
F. Scalene
Answer:
is there a chart to this question?
because I can't tell the answer just by looking at it
Step-by-step explanation:
it's a b c d and f are all the correct answers
A student states that the constant of proportionality is 2.5 since 10 - 7.5 = 2.5.
I NEED HELP FOR MY TEST!
If a =
3
5
, b = 3, c = 1, d = 5, which equality is true?
A)
d
a
=
b
c
B)
a
b
=
c
d
C)
b
a
=
c
d
D)
a
d
=
b
c
Answer:
could you give a picture of the problem. cause I may be able to help but I cant really understand the question with what you typed
Answer:
D
Step-by-step explanation:
just took this test
The value of a share of stock in an electronics company increased by 2/3 % during one week. If the value of a share of stock was $141 at the beginning of the week, estimate the increase in value of a share of stock at the end of the week.
Answer:
An increase of $0.94
Step-by-step explanation:
Solve for f:
f divided by -2/3 = -1/3
Answer:
2/9
Step-by-step explanation:
The only expression 3(2x+7)-4(-3x+5) is equal (=) to
Answer:
18x + 1
Step-by-step explanation:
3(2x + 7) -4(-3x +5)
6x + 21 + 12x - 20
6x + 12x + 21 - 20
18x + 1
Answer:
18x+1
Step-by-step explanation:
3(2x+7)-4(-3x+5)= 6x+21+12x-20
Combine Like Terms:
6x+12x= 18x
21-20=1
=18x+1
What's the GCF of 32a, and 48b
Last month, Carter earned $165 for his after-school job. If he was paid $8.25 per hour, how many hours did Carter work?
Answer:
20
Step-by-step explanation:
165 divided by 8.25 is 20.
Answer:
20 hrs
Step-by-step explanation:
Just divide $165 by $8.25
Hope this helps!
Write 4.399 as a ratio of two integers. Enter your answer as a reduced improper fraction.
Answer:
Rewrite the decimal number as a fraction with 1 in the denominator
4.399=4.3991
Multiply to remove 3 decimal places. Here, you multiply top and bottom by 103 = 1000Rewrite the decimal number as a fraction with 1 in the denominator
4.399=4.3991
Multiply to remove 3 decimal places. Here, you multiply top and bottom by 103 = 10004.3991×10001000=43991000
Simplify the improper fraction,
=43991000
In conclusion,
4.399=43991000
We have that [tex]\frac{4399}{1000}[/tex] is the reduced improper fraction of [tex]4.399[/tex]
[tex]\frac{4399}{1000}[/tex]
From the Question we are told that
Write 4.399 as a ratio of two integers
Generally to reduce 4.399 to an improper fraction we have that
[tex]\frac{4399}{1000}=4.399[/tex]
Improper action representation of the given integer
We proceed to reducing the fraction .We see that the are no means to reduce the fraction
Therefore
[tex]\frac{4399}{1000}[/tex] is the reduced improper fraction of [tex]4.399[/tex]
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A business knew that 30%, percent of its customers were less than 25 years old. The business wanted to increase this percentage, so they created a marketing campaign that targeted this age group. After the campaign, the business obtained a random sample of 50 customers to test H_o:p=0.3 versus Ha :p > 0.3, where p is the proportion of this business's customers who are less than 25 years old after the marketing campaign. After the campaign, the business obtained a random sample of 50 customers and found that 18 of those sampled were less than 25 years old. What would be the P-value for their test?
Answer:
The answer is "0.9258201 or [tex]\bold{ \frac{0.36 -0.3}{\sqrt{\frac{0.3 \times 0.7 }{50}}}}[/tex]".
Step-by-step explanation:
[tex]\to P= 30 \ \%\\\\ \to x= 18 \\\\ \to n=50\\\\\\\hat p= \frac{x}{n} = \frac{18}{50} = 0.36 \\\\\bold{Formula:}\\\\X= \frac{\hat p -p}{\sqrt{\frac{p \times (1-p)}{n}}}\\\\[/tex]
[tex]= \frac{0.36 -0.3}{\sqrt{\frac{0.3 \times (1-0.3)}{50}}}\\\\= \frac{0.36 -0.3}{\sqrt{\frac{0.3 \times 0.7 }{50}}}\\\\= \frac{0.36 -0.3}{\sqrt{\frac{0.21}{50}}}\\\\= \frac{0.06}{\sqrt{0.0042}}\\\\= \frac{0.06}{0.064807407}\\\\= 0.9258201[/tex]
Answer:
Step-by-step explanation:
Is this relation a function? Justify your answer.
10
9
8
7
5
4
3
2
1
1 2 3
5
6 7
8 9 10
O A. No, because two points with the same y value have different x-
values
OB. No, because two points with the same x-value have different y
values
O C. Yes, because every x and y-value is positive,
D. Yes, because the number of x-values is the same as the number of
Answer:
i don't now
ok
please follow me
Sarah writes 4 songs. Ronnie writes 6 more songs than Sarah Paul writes 2 times as many songs as Sarah
Answer:
Sarah wrote 4 songs
Ronnie wrote 10 songs
Paul wrote 8 songs
Step-by-step explanation:
Geometry question..can anyone help?
Answer:
For the trapezoid it is the y axis.....
For the triangles it is the x axis
Mental math what is 90 x 20
Answer:
1800
Step-by-step explanation:
90*20=1800 because 9*2=18 add two zeroes and ur done
Hope this helps
Answer:
1,800
Step-by-step explanation:
90 x 20
9 x 2=18
18+00
1,800
Plz give Brainiest
It a picture of the question
what are the congruent angles and sides???
Answer:
the helping hand got it
if 2 log x + 3 log y = 0, find y in terms of x.
Answer: If 2 log x + 3 log y = 0, find y in terms of x.
sorry for my messy handwriting!!!
Step-by-step explanation:
If n is the least two consecutive odd integers, which of the following represents the sum of the two integer?
Answer:2n+2
Step-by-step explanation:
Pwease help me wit this problem, tysmm
Answer:
yeah every time Charlie takes 30 dollars more than previous salary
A serving of rice is 2/5 of a cup. How many servings are there in a 1 3/5-cup bag of rice?
Two angles form a linear pair. The measure of one angle is 6 less then the measure of the other angle. Find the measure of each angle
Answer: one angle would be 50 degrees while the other would be 130 degrees.
Step-by-step explanation:
What is the probability that you will get heads no more than once out of 3 flips? P(0 successes) + P(1 success)=
Answer:
The answer is .5
Step-by-step explanation:
Answer:
The correct answer is 0.5
Step-by-step explanation:
You have to do 0.125 (0 successes) plus 0.375 (1 success). This is equal to 1/2
This is correct on edge.
Find the LCD of the given rational equation:
Answer:
The correct answer is: D
Step-by-step explanation:
Consider the domain, which in this case x cannot be equal to -4 and -2.
The LCD of the rational equation is (a) (x + 4)(x + 2)(x - 2)
How to determine the LCD?The rational equation is given as:
[tex]\frac{x}{x + 4} + \frac{x - 1}{x + 2} = \frac{3}{x^2 + 2x - 8}[/tex]
Factorize the denominator of the fraction on the right hand side
[tex]\frac{x}{x + 4} + \frac{x - 1}{x + 2} = \frac{3}{(x - 2)(x + 4)}[/tex]
Write out the common factors in the denominator
LCD = (x + 4)(x + 2)(x - 2)
Hence, the LCD of the rational equation is (a) (x + 4)(x + 2)(x - 2)
Read more about rational equation at:
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What percent is the shaded portion of the entire diagram? A bar diagram with 9 shaded squares and 11 unshaded squares. 9% 40% 45% 90%
Answer:45%
Step-by-step explanation: Here you have 9 shades out of 20 .and to write any number as a percent you must put the denominator as 100.. so multiply both numerator and denominator by 5 .. so it will be 45 out of 100 instead if 9 out of 20
Answer:
answer is 45%
Step-by-step explanation:
Took the quiz got it right