The diagram shows a right-angled triangle.
15 cm
hcm
31
What is the value of h?
Give your answer correct to 1 decimal place.
Answers
The diagram is missing, so i have attached it.
Answer:
h = 7.7 cm
Step-by-step explanation:
From the attached image, we can see that the hypotenuse is 15 cm with the opposite side being h cm.
The angle is 31°
Thus, using trigonometric ratio, we have;
h/15 = sin 31
h = 15 sin 31
h = 15 × 0.5150
h = 7.725
Approximating to 1 decimal place gives;
h = 7.7 cm
Related Questions
Cassie has a total of 110 coins in her piggy bank. All the coins are quarters and dimes. The coins have a total value of $20.30. How many quarters and how many dimes are in the piggy bank?
Answers
Answer:
48 dimes and 62 quarters
Step-by-step explanation:
Determine whether the ratios are equivalent 6 : 10 and 12 : 20 ?
Answers
Answer:
Yes, they are equivalent because 12 is divisible by 6 two times and 20 is divisible by ten two times.
Diego is trying to lift a piano to the second floor of his house. Diego uses a pulley system and gives a big lift to the piano.The piano moves upward, then stops, and then it starts to fall to the ground. (The direction of the force of gravity is negative.)
Which list best describes the forces on the piano in the proper order?
positive force → balanced force → negative force
negative force → balanced force → positive force
positive force → unbalanced force → negative force
negative force → unbalanced force → positive force
Answers
Answer: positive force → balanced force → negative force
Step-by-step explanation: I just did it
Answer:
A
Step-by-step explanation:
edg
Find the product (6x² + 2x)(x²+4x)
Answers
Answer:
6x⁴ + 26x³ + 8x²
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsExpand by FOIL (First Outside Inside Last)Exponential Rule [Multiplying]: [tex]\displaystyle b^m \cdot b^n = b^{m + n}[/tex]Step-by-step explanation:
Step 1: Define
(6x² + 2x)(x² + 4x)
Step 2: Expand
FOIL: 6x⁴ + 24x³ + 2x³ + 8x²Combine like terms: 6x⁴ + 26x³ + 8x²You go to the mall to buy a pair of shoes. The shoes are $45.00 and you have to add on 6% sales tax. How much is the total that you will pay?
Answers
Answer:
$47.70
Step-by-step explanation:
45 increase 6% =
45 × (1 + 6%) = 45 × (1 + 0.06) = 47.7
Barbara has a part-time lawn-mowing job. The table below shows the amount of money Barbara earned for different numbers of hours of work:
Barbara's Earnings from Lawn Mowing
Number of Hours Worked Money Earned (dollars)
5 40
6 48
8
56
Part A: What are the missing numbers in the table? Show your work.
Part B: Barbara also works part time at a theme park. The ratio of the number of hours Barbara works at the park to the money she earns in dollars is 1:9. Create a table to show the money earned by Barbara for 5, 6, and 8 hours of work at the theme park.
Part C: How many more dollars does Barbara earn working at the theme park for 5 hours than mowing lawns for 5 hours? Show your work.
Answers
Answer:
Part A: 5-40
6-48
8-64
7-56
Part b:
1-9
5-45
6-54
8-72
Part c:
Theme park
5-45
Mowing lawns
5-40
$5
Step-by-step explanation:
Part A: 5x8=40
6x8=48
8x8=64
56/7=8
Part C: Every 5 hours working at the theme park she earns 45 dollars, when mowing lawns she earns 40 dollars 45-40 equal $5 extra dollars at the theme park.
In a football league, 4 coaches are needed for every 38 players. If 84 players sign up for softball, how many coaches are needed?
Answers
8.842 but the answer would have to be rounded because you can’t have .842 coaches... the answers 9!!!!
Is 22,18,12 a right triangle
Answers
Answer:
Step-by-step explanation:
12²+18²=144+324=468
22²=484
468<484
12²+18²≠22²
it is not a right angled triangle.
Consider the function f(x)=(x^4)/4. Find f'(x).
Answers
Answer:
f'(x)=x^3
Step-by-step explanation:
f'(x)=1/4(4x^3)
=x^3
Can some write the correct inequality graph below
Answers
Answer:
x≥-6
Step-by-step explanation:
In the triangle below,
x= [ ? ]°. Round to the nearest tenth. ANSWER ASAP!!!
Answers
Answer:
2
Step-by-step explanation:
Answer:
Your answer would be 2
Step-by-step explanation:
I would explain but its too hard
Please help ASAP will give Brainlyest answer :M/5=2
Answers
Mhanifa please help I will mark brainliest
Answers
Answer:
36°90°Step-by-step explanation:
Question 1
x = 180° - 2*72° = 180° - 144° = 36°Question 2
x + 2(x/2) = 180°2x = 180°x = 90°13.65 = h + 4.88 What the answer
Answers
Answer:
h = 8.77
Step-by-step explanation:
Isolate the variable, h. Note the equal sign, what you do to one side, you do to the other. Subtract 4.88 from both sides:
h + 4.88 = 13.65
h + 4.88 (-4.88) = 13.65 (-4.88)
h = 13.65 - 4.88
h = 8.77
8.77 is your answer for h.
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Write the equation of the line that passes through the points (-3, 4) and (-3,3).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.
Answers
Answer:
x=-3
Step-by-step explanation:
y-4=(3-4)/(-3-(-3))(x+3)
y-4=1/(-3+3) (x+3)
y-4=1/0(x+3)
or x+3=0
x=-3
I need help within the next 15 mins
Answers
Answer:30
Step-by-step explanation: LxW (length x Width) 3x10=30.... Hope this helps... if you break it down then you can write down (10) on your page but the answer is 30
t -1 = -5 Help me plz and thank you
Answers
Answer:
Step-by-step explanation:
if we already have a 1 and the answer is -5, we still don't know what T is. T is -6 because, -6 - 1 = -5
What is the y intercept of the graph of the inequality 2x + 3y > 12?
Answers
Answer:
-4 y>-2/3x-4
Step-by-step explanation:
-3y>2x+12 y> -2/3x-4
In preparation for the upcoming school year, a teacher looks at raw test scores on the statewide standardized test for the students in his class. Instead of looking at the scores relative to the norms in the state, the teacher wants to understand the scores relative to the students who will be in the class. To do so, he decides to convert the test scores into z scores relative to the mean and standard deviation of the students in the class. The mean test score in his upcoming class is 49, and the standard deviation is 20.7.
The following are the scores for some (not all) of her students.
Student Test Score Z- score
A 205 0.08
B 199 ______
C 266 1.68
D 222 ______
E 188 -0.37
F 172 ______
G 184 -0.47
H 215 ______
The teacher wants to identify those students who may need extra challenge or extra help. As a first cut, she decides to look at students who have z-scores above z = 2.00 or below z = -2.00. Identify the test score corresponding to each of the following z-scores.
For z = 2.00, test score = ____________
For z - -2.00, test score = ____________
Answers
Answer:
The answer is below
Step-by-step explanation:
In preparation for the upcoming school year, a teacher looks at raw test scores on the statewide standardized test for the students in her class. Instead of looking at the scores relative to the norms in the state, the teacher wants to understand the scores relative to the students who will be in the class. To do so, she decides to convert the test scores into z-scores relative to the mean and standard deviation of the students in the class. The mean test score in her upcoming class is 202, and the standard deviation is 38.2. The following are the scores for some (not all) of her students. Complete the table using the dropdown menus. The teacher wants to identify those students who may need extra challenge or extra help. As a first cut, she decides to look at students who have z-scores above z = 2.00 or below z = -2.00. Identify the test score corresponding to each of the following z-scores. Round to the nearest whole number. For z = 2.00, test score = .For z - -2.00, test score = .
Solution:
The z score is a used in statistics to determine by how many standard deviations the raw score is above or below the mean. The z score is given by:
[tex]z=\frac{x-\mu}{\sigma}\\\\where\ x=raw\ score, \mu=mean,\sigma=standard\ deviation\\\\For\ a\ sample\ size(n):\\\\z=\frac{x-\mu}{\sigma/\sqrt{n} }[/tex]
Given that μ = 202, σ = 38.2
i) for student B, x = 199. Hence:
[tex]z=\frac{x-\mu}{\sigma} =\frac{199-202}{38.2}=-0.08\\[/tex]
ii) for student D, x = 222. Hence:
[tex]z=\frac{x-\mu}{\sigma} =\frac{222-202}{38.2}=-0.52\\[/tex]
iii) for student F, x = 172. Hence:
[tex]z=\frac{x-\mu}{\sigma} =\frac{172-202}{38.2}=-0.79\\[/tex]
iv) for student H, x = 215. Hence:
[tex]z=\frac{x-\mu}{\sigma} =\frac{215-202}{38.2}=0.34\\[/tex]
For z = 2.00, the test score x is:
[tex]z=\frac{x-\mu}{\sigma}\\\\ 2=\frac{x-202}{38.2}\\\\76.4=x-202\\\\x=278.4[/tex]
For z = -2.00, the test score x is:
[tex]z=\frac{x-\mu}{\sigma}\\\\ -2=\frac{x-202}{38.2}\\\\-76.4=x-202\\\\x=125.6[/tex]
Shade the number line to show 3/5 x 5/8
Answers
Answer:
15/40 = 3/8
Step-by-step explanation:
numerator x numerator & denominaror x denominaror
To shade this on a number line, we can find the point that corresponds to 0.375 and shade it.
What is a number line?It is the representation of numbers in real order.
The difference between the consecutive numbers in a number line is always positive.
We have,
To shade the number line to show 3/5 x 5/8, we can first convert the fractions to decimals:
So,
3/5 = 0.6
5/8 = 0.625
Next,
We can multiply these decimals together to find the product:
= 0.6 x 0.625
= 0.375
To shade this on a number line, we can find the point that corresponds to 0.375 and shade it.
If the number line extends from 0 to 1, with tick marks every 0.1, we can count over 3.75 tick marks from 0 and shade the point that corresponds to that location.
The shaded point should fall between 0.3 and 0.4 on the number line.
Thus,
To shade this on a number line, we can find the point that corresponds to 0.375 and shade it.
Learn more about number line here:
https://brainly.com/question/13425491
#SPJ2
A local little league has a total of 75 players, of whom 80% are left-handed. How many left-handed players are there?
Answers
Pikuai answers~
===================
60 Players are left handed
===================
Hope this helped, have a great day~
order the following from least to greatest 5.392, 5.932, 0.593, 0.9
Answers
Answer:
0.593, 0.9, 5.392, 5.932
Step-by-step explanation:
hope this helps^-^
Hope that helped
Suppose you make hot chocolate. It's too hot to drink, so you put it in the freezer to cool it off. If the original temperature is 190 degrees Fahrenheit and the freezer is 0 degrees Fahrenheit, what will the temperature of the hot chocolate be after 3 minutes? (k = 0.12)
A 132.56 degrees
B 272.33 degrees
C 149.46degrees
D 241.54 degrees
Answers
My sister and I are buying a television for our room. Because I am older, I will pay $45 more than my sister. If the television costs $299, then how much does my sister have to pay.
Answers
I need the answer because I thought it was 39 but was not sure if 39 was the answer
Answers
Answer:
I believe you are correct
Step-by-step explanation:
hope I am right
30% of what number is 33?
Answers
b) Two coins are tossed, find the probability that one head only is obtained.
Answers
A $230 suit is marked down by 30%. Find the sale price.
Answers
Answer:
161
Step-by-step explanation:
69 is 30% of 230 so 230-69=161 is the answer.
Does anyone know the answer and could you explain how you got your answer? THANK YOUU
Answers
Answer:
This would be a 60% increase
Step-by-step explanation:
40-25 and divided by 25 times 100
you should get 15/25 multiply it by 100=60%
A club raised 80% of its goal for a charity. The club raised $1076. What was the goal?
Answers
Answer:
860.8
Step-by-step explanation: