Answers
9514 1404 393
Answer:
a) base: 29.4377 cm
b) hypotenuse: 30.7827 cm
c) area: 132.470 cm²
d) perimeter: 69.2204 cm
Step-by-step explanation:
a) The mnemonic SOH CAH TOA reminds you that ...
Tan = Opposite/Adjacent
tan(17°) = (9 cm)/base
base = (9 cm)/tan(17°) = 29.4377 cm
__
b) The sine relation could be used in the same way to find the hypotenuse:
hypotenuse = (9 cm)/sin(17°) ≈ 30.7827 cm
However, we're instructed to use the Pythagorean theorem. So, we have ...
hypotenuse = √(base² +(9 cm)²) ≈ √(886.577 +81) cm ≈ 30.7827 cm
__
c) The area is half the product of the base and height:
A = 1/2bh
A = (1/2)(29.4377 cm)(9 cm) ≈ 132.470 cm²
__
d) The perimeter is the sum of side lengths:
P = base + hypotenuse + height
P = (29.4377 +30.7827 +9) cm = 69.2204 cm
Related Questions
Which equation can you use to solve 150% of 500?
Answers
Answer:
150×500=30, i got you man
Who voted on red 。 • ﾟ 。 .
. . 。 。 .
. 。 ඞ 。 . • •
ﾟ Red was not An Impostor. 。 .
' 1 Impostor remains 。
ﾟ . . , . .
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Answer:
i used to play that
Step-by-step explanation:
Blacks sus
An artist mixes colors for a painting. She mixes 1.5 ounces of blue with 2.5 ounces of yellow to get the perfect shade of green. If she determines that she will need 12 ounces of green, how much yellow paint will she need?
Answers
Answer:
4.5 ounces of yellow and 7.5 ounces of blue will create 12 ounces of the perfect shade of green.
Step-by-step explanation:
1.5 + 2.5 = 4 ounces.
Multiply by 3
4.5 + 7.5 = 12 ounces
So, she needs 4.5 ounces of yellow.
Alonso multiplied the fractions 312and (−414) and got a product of −1218. Describe the mistake that Alonso made. What is the correct product?
CAUTION: I NEED HELP!!!!!!
Answers
A math quiz has 10 questions and is scored out of 100. Each question is worth the same. The function S(q) represents the quiz score, S, in terms of the number of correctly answered questions, 2-
Determine whether each statement below is true or false. Select True or False for each statement.
True False
Sla) represents a quantity that changes at a constant rate per unit interval.
Sla) represents a quantity that changes at a constant percent rate per unit interval
S[9) represents a linear function
S(a) represents an exponential function
Answers
Answer: S(q) represents a quantity that changes at a constant rate per unit interval is true and S(q) represents a linear function is true. The rest is false. Hope this helps
Step-by-step explanation:
What is the equation of a line that is parallel to the line 4x-2y=10 and goes through the point (3,12)
Answers
Answer:
4x - 2y = -12
Step-by-step explanation:
4(3) - 2(12) = b
12 - 24 = b
-12 = b
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The sum of two numbers is 58. The difference between the same two numbers is 6. Find the two numbers, and then find the PRODUCT of the two numbers.
Answers
Answer:
26 and 32 are the two numbers, the product is 832
Lee has 3 dog walking customers. Each month he gains another customer. Which arithmetic sequence represents the number of customers he has?
Group of answer choices
a1 = 3; an = an-1 + 1
a1 = 1; an = an-1 + 3
a1 = 1; an = an+1 + 3
a1 = 3; an = an+1 + 1
Answers
Given:
Lee has 3 dog walking customers.
Each month he gains another customer.
To find:
The arithmetic sequence that represents the number of customers he has.
Solution:
Initial number of customers = 3
First term : [tex]a_1=3[/tex]
Each month he gains another customer.
Common difference : [tex]d=1[/tex]
Recursive formula of an AP is
[tex]a_n=a_{n-1}+d[/tex]
where, d is common difference.
Substituting d=1, we get
[tex]a_n=a_{n-1}+1[/tex]
So, the required arithmetic sequence is [tex]a_n=a_{n-1}+1[/tex], where [tex]a_1=3[/tex].
Therefore, the correct option is A.
When the data from an empirical study are consistent with a hypothesis, we say that the hypothesis is
Answers
Answer:
...correct.
Step-by-step explanation:
The hypothesis would be correct due to the empirical evidence and that it has been studied that way.
Hope this Helps!!
:D
n/4 + 1 =5 how do I solve this and show my work
Answers
Answer:
n=16
Step-by-step explanation:
n/4 + 1 = 5
inverse operations, (subtract the one from both sides)
n/4 = 4
inverse operations, multiply by 4 on both sides, (you're isolating the variable)
n = 16
N+ 5/16=-1
:)))) ASAP
Answers
Answer:
Step-by-step explanation:
16N+5=-16 (multiply by 16)
16N=-21 (subtract 5)
N=-21/16 (divide by 16)
Please mark brainliest Hope this helps :D
1
How many – cup servings of ice cream are in 3 cups of ice cream?
4
Answers
Answer:
well.......................................3 cups are in a cup serving
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
how to find the sale price of an item that has been discounted 25%
Answers
Answer:
Multiply the normal price of the item by .25 and then subtract that from the normal price.
Step-by-step explanation
[tex]x -(x*.25)[/tex]
x is the item
Step-by-step explanation:
100%-25%= discounted price= 75%
You do the discounted price divided by 75 to find 1%
do that times 100 to find the pre-discounted price.
e.g
find the original price of a sweater when it was on sale of 25%. the sale price is £15.00.
£15.00 = 75%
15.00 divided by 75 = 1% =£0.20
£0.20 x 100 = pre-sale price = £20.00
The price of the sweater before the sale is £20.00.
You are welcome xx
How did they figure out the answer was 4 for the fraction problem solving. There are 36 people in the Newtown Hiking Club. 2/3 of the club must vote yes if the club is to hike the Northern Trail. 20 people have voted yes. How many more yes votes are needed?
Answers
Answer:
Step-by-step explanation:
11 coommon factor of
Answers
what is the initial value of the exponential function shown on the graph? a. 0, b. 1, c. 2, d. 4
Answers
Answer:
D
Step-by-step explanation:
4 is the initial value of the exponential function shown on the graph.
Have a great day
1 +1 = ???????????????????????????
Answers
Answer:
IT 2
Step-by-step explanation:
To begin solving this system of linear equations by elimination , you can add the equations . x + 4y = 38 5x - 4y = -30 8x = 8 This step works because of the distributive property B. multiplication property of equality C. commutative property D. addition property of equality
Answers
Answer: D. Addition property of equality
Step-by-step explanation:
PLEASE HELP ME IM MARKING ANSWER BRAINLIEST RIGHT NOW!!Mr. Youngbear buys T-shirts in boxes
of 20 for $80 per box. He sells the
T-shirts for $6 each. How much profit
has he made after selling 93 T-shirts?
Answers
Step-by-step explanation:
1. Ok so first we need to figure out how many boxes of shirts he bought. In each box there are 20 shirts and he sold 93. So if we round it, he bought about 100 T-shirts. 100 ÷ 20 = 5. So he bought 5 boxes of shirts.
2. Next we need to figure out how much he spent on the shirts. 5*80=400. So he spent $400 dollars on the shirts.
3. We need to find out the amount of money he made from selling the shirts. 6*93=558
4. We need to find the profit so you subtract the total expenses from the total revenue. 558-400= 158. So the profit is $158
Answer: Mr. Youngbear made 158 dollars worth of profit after selling 93 T-shirts.
(I dont know if this is correct, but I hope I was able to help!)
Which expression is equivalent to 28/19/100
Answers
Answer:
Brainly doesn’t help people
Step-by-step explanation:
Khan Acadmey or Google helps! Trust me this doesn’t help
negative six plus a number
is less than or equal to fifteen
Answers
Answer:
-6+x≤15
negative six: -6
plus: +
a number: variable (I chose x)
Less than or equal to: ≤ (an inequality)
fifteen: 15
Answer:
-6 + n ≤ 15
or
n ≤ 21
Step-by-step explanation:
negative six is -6
plus a number would be a variable (I will use n) + n
is less than or equal to would be ≤
fifteen is 15
-6 + n ≤ 15
If you want to solve it, continue
-6 + n ≤ 15
+6 +6
n ≤ 21
I hope that this helps! :)
The head of maintenance at XYZ Rent-A-Car believes that the mean number of miles between services is 4959 miles, with a standard deviation of 448.If he is correct, what is the probability that the mean of a sample of 43 cars would differ from the population mean by less than111 miles? Round your answer to four decimal places.
Answers
Answer:
0.8958
Step-by-step explanation:
Given that:
The mean [tex]\mu[/tex] = 4959
The standard deviation [tex]\sigma[/tex] = 448
The sample size n = 43
[tex]\mu_{\overline x} = \mu = 4959[/tex]
[tex]\sigma __{\overline x}} = \dfrac{\sigma}{\sqrt{n}}= \dfrac{448}{\sqrt{43}}[/tex]
By applying the central limit theorem;
[tex]\overline X \sim N \bigg( \mu_{\overline x} = 4959 , \sigma_{\overline x} = \dfrac{448}{\sqrt{43}}\bigg )[/tex]
The purpose of this question is to calculate the probability that the mean of a sample of 43 cars would differ from the population mean by less than111 miles.
This implies that;
[tex]P( |\mu-\overline x| <111) = p( 4959-111 < \overline X < 4959 +111)[/tex]
[tex]= P( 4848 < \overline X < 5070)[/tex]
[tex]= P \bigg ( \dfrac{ \overline x - \mu_x }{ \dfrac{\sigma}{\sqrt{n}}} < Z < \dfrac{ \overline x - \mu_x }{ \dfrac{\sigma}{\sqrt{n}}} \bigg )[/tex]
[tex]= P \bigg ( \dfrac{4848 -4959 }{ \dfrac{448}{\sqrt{43}}} < Z < \dfrac{5070 -4959 }{ \dfrac{448}{\sqrt{43}}} \bigg )[/tex]
[tex]= P \bigg ( \dfrac{-111 }{ 68.319} < Z < \dfrac{111 }{68.319} \bigg )[/tex]
[tex]= P ( -1.6247< Z < 1.6247 )[/tex]
= P ( Z < 1.627 ) - P(Z < -1.627)
From the standard normal tables
= 0.94791 -0.05208
= 0.89583
≅ 0.8958 to four decimal places.
what is 23 plus 5?? pls help me ASAP
Answers
The life of light bulbs is distributed normally. The variance of the lifetime is 900 and the mean lifetime of a bulb is 520 hours. Find the probability of a bulb lasting for at most 576 hours. Round your answer to four decimal places.
Answers
Answer:
0.969
Step-by-step explanation:
Given that:
Mean lifetime (m) = 520 hours
Variance = 900
Hence, standard deviation (s) = √900 = 30
Probability that bulb will last for at most 576 hours
X ≤ 576
Obtain the standardized score :
Using the relation :
Zscore = (x - m) / s
Zscore = (576 - 520) / 30
Zscore = 56 / 30
Zscore = 1.867
P(Z ≤ 1.867) : using the z probability calculator ;
P(Z ≤ 1.867) = 0.96905
Hence, P(Z ≤ 1.867) = 0.969
Convert from Standard form to Slope intercept form:
y/3 - 10/3 = x
Answers
*Hope this helped!!!
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Answers
Answer: x=5
Step-by-step explanation:
Distribute the 4 to the 2 and 9 and you will get (8x-36)=4.
Then you'd add the 36 to 4 to get 40.
Lastly you'd divide 8 and 40 to get 5. Hope this helps!!!
2x29(4x3)= what is the answer to this problem
Answers
Answer:
10,092
Step-by-step explanation:
841×12
HELP PLEASE!!!!
Describe two ways to find the distance between
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Answers
distance: to find the distance between two points on a plane
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FIrst to answer gets brainliest no trolls
Answers
Answer:
Step-by-step explanation:
Division of liked variables
Answer:
B
Step-by-step explanation:
fractions = division
Sorry if I am wrong!!!!!!!!!!!!!!!!! Can I be brainliest?
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Answers
Answer:
35.54Step-by-step explanation:
Use tan-1 (5÷7)
Use tan()to get your answer