What is the length of GH¯¯¯¯¯¯, to the nearest tenth of a meter? 7.3 m 13.7 m 14.1 m 19.4 m A scalene triangle G H J. The base side is J H. Side G J is labeled as 10 meters. Angle J is labeled as 45 degrees. Angle H is labeled as 31 degrees.
Answers
[tex] \frac{GH}{sin \ J} = \frac{GJ}{sin \ H} [/tex]
Given:
GJ = 10 , ∠J =45° , ∠H = 31°
∴ [tex] \frac{GH}{sin \ 45} = \frac{10}{sin \ 31} [/tex]
∴ GH = 10 * sin 45° / sin 31° ≈ 13.7 m
Answer:
13.7 m
Proof in Pic:
Related Questions
If i share £40 in the ratio 1 4
Answers
1n + 4n = 40
5n = 40
n = 8
1(8):4(8)
8:32
One gets £8, and another gets £32
Help please........................
Answers
So the 3 points are transformed from
D(3,2) to D'(2,-3)
E(4,5) to E'(5,-4)
F(2,3) to F'(3,-2)
Now if you reflect these across the x axis only the y value is affected.
D'(2,-3) to D"(2,3)
E'(5,-4) to E"(5,4)
F'(3,-2) to F"(3,2)
Which is none of your answers. That's one of the reasons it has taken me so long to answer. I'm going to have someone I really trust check what I've done, but I think the question is incorrect. If I am wrong, he has the power to allow me to edit.
how do you solve: x^2-7x+10=28
Answers
x^2 - 7x - 18 = 0
(x - 9)(x + 2) = 0
x - 9 =0; x = 9
x +2 =0; x = -2
answer
x = 9 , x = -2
find the greatest common factor of the following monomials 44b^2 36b
Answers
The store sale 85% off only today. Ella planned to buy these skates anyway, and so she bought them immediately.
If she paid $18.00. How much money did she save?
Answers
discount = x(1 - 0.85)
The discounted price is $18.00. Therefore
18.00 = x(0.15)
x = 18.00 / 0.15
x = $120.00
The amount she saved is $120.00 - $18.00 = $102.00
The answer to this question is that Ella saved $102.00.
I need someone to make these equations for me please
Two one-step equations
Two equations that contains fractions
One equation with distributive property
One equation with decimals
One real-world problem that is solved by an equation
Answers
1. 2x = 18
2. 9x = 81
Two equations that contains fractions:
1. 3/4 x 1/2 = ?
2. 5/8 + 3/8 = ?
One equation with distributive property:
1. 2(x + 4) = 16
One equation with decimals:
1. 0.5x + 2 = 10
One real-world problem that is solved by an equation:
Ruckus is a cashier that gets 8 dollars every hour and works 5 days a week. If he works 6 hours each time he goes to work, how much money does he get every week?
Answer:
One step equations
3 + x = 5 ___x = 2
Y + 14 = 20____x = 6
Equations with Fractions
4/5q = 32___q = 40
3/4x = 6___x = 8
Equation with decimals
3.2x – 2.7 = 1.2x___x = 1.35
Equation with distributive Property
7x + 3 (x + 1) = 10x + 3
Infinitely Many solutions
Real World Problem
Monica knows that she should spend no more than 1/3 of her income on her rent. She really wants to move into a cool condo downtown and has found a great place where the rent is $2,300 per month. Based on that, how much should Monica earn each month to afford the rent on her cool new place?
Hope This Helps!
The answer for number 32
Answers
90+60=150
9+3=12
12/150=.08
which number is equivalent to 13vover2
Answers
Answer: 6 1/2
Triangles PQR and FGH are similar. Also, What is the ratio of the area of triangle PQR to the area of triangle FGH?
Answers
We have a: b = 1: 1; then a^2 : b^2 = 1^2 : 1^2 = 1;
How do you write mixed numbers or fractions as decimals?
Answers
For every four female students in a training class, there are two men. What is the ratio of female to male students ?
Answers
Find the sum of the absolute deviations of the following data set.
8, 5, 15, 12, 10
Choices:
50
10
12.5
14
Answers
To find the sum of the absolute deviations, calculate the average of the data set and then subtract it from each value, taking the absolute value. Finally, sum up all the absolute deviations.
Explanation:To find the sum of the absolute deviations, we first need to find the average of the data set. The average is calculated by adding up all the numbers and then dividing by the total number of values. So, the average of the data set 8, 5, 15, 12, 10 is (8 + 5 + 15 + 12 + 10) / 5 = 50 / 5 = 10.
Next, we calculate the absolute deviation for each number by subtracting the average from each value and taking the absolute value. The absolute deviations for the given data set are: |8 - 10| = 2, |5 - 10| = 5, |15 - 10| = 5, |12 - 10| = 2, |10 - 10| = 0.
Finally, we sum up all the absolute deviations: 2 + 5 + 5 + 2 + 0 = 14. Therefore, the sum of the absolute deviations is 14. So the correct choice is 14.
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The sum of the absolute deviations of the dataset 8, 5, 15, 12, 10 is calculated by finding the mean of the dataset, calculating the absolute difference of each data point from the mean, and summing up these absolute values. The result is 14.
Explanation:The sum of the absolute deviations of a dataset is determined by first finding the mean of the dataset, and then finding the absolute difference of each data point from the mean. The sum of these absolute values is the sum of absolute deviations.
Here is how to do this with your dataset: 8, 5, 15, 12, 10.
Calculate the mean (average) of the dataset: [tex](8+5+15+12+10)/5 = 10[/tex]Find the absolute difference of each data point from the mean: [tex]|8-10|, |5-10|, |15-10|, |12-10|, |10-10|[/tex], which are 2, 5, 5, 2, and 0 respectively.Sum up these absolute values: [tex]2 + 5 + 5 + 2 + 0 = 14[/tex]So, the sum of the absolute deviations of your dataset is 14.
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a pair of sunglasses is on sale for $26. The origanal price of the sunglasses was $40 what percent of the original prive is the sales price
Answers
You can use this when finding the percentage decrease or increase in an amount!
The sales price is 35%.
How many whole sandwiches can be made with 2 pounds of cheese if each sandwich has 3 ounces of cheese on it?
Answers
Hope I helped!
the product of 3/4 and a number s is 3/5
Answers
s= a number
is= equal sign
3/4s= 3/5
divide both sides by 3/4
s= (3/5) / (3/4)
to divide fractions, multiply by the reciprocal/inverse of 3/4
s= 3/5 * 4/3
multiply numerators; multiply denominators
s= (3*4)/(5*3)
multiply within parentheses
s= 12/15
simplify by 3
s= 4/5
ANSWER: 4/5
Hope this helps! :)
I THINK IT"S "C"
Solve the following system of equations: 3x − 2y = 6 6x − 4y = 14
(0, 0)
(6, 14)
Infinitely many solutions
No solutions
Answers
6x − 4y = 14
-6x+4y=-12
+6x-4y = 14
0=2 false
So, this system has no solutions.
Multiply the first equation by - 2.
- 2(3x - 2y = 6)
- 6x + 4y = -12
Combine the like terms of this equivalent equation and the original second equation.
- 6x + 4y = -12
6x - 4y = 14
Everything on the left side of the equal sign cancels out leaving you with:
0 ≠ 2
Because this statement is not true, it means there are no solutions to this system of equations.
The base of the rectangular pyramid shown above has one side that measures 5 inches, one side that measures 12 inches, and diagonals that measure 13 inches. The height of the rectangular pyramid is 9 inches.
If the rectangular pyramid shown above is sliced by a plane that is parallel to the two longer sides of the base and also passes through the top vertex, what is the area of the cross-section of the pyramid?
A.108 square inches
B. 22.5 square inches
C. 54 square inches
D. 58.5 square inches
Answers
The cross-section of the rectangular pyramid, obtained by slicing it parallel to the longer sides of the base and through the top vertex, forms a 9-12-15 right triangle. The area of the cross-section is 54 square inches (Option C).
The rectangular pyramid has a base with sides of 5 inches and 12 inches, and diagonals measuring 13 inches. The height of the pyramid is 9 inches.
The cross-section obtained by slicing the pyramid parallel to the longer sides of the base and passing through the top vertex will form a right triangle with legs of 9 inches and 12 inches, and a hypotenuse of 13 inches (as given by the diagonals).
This right triangle is a 3-4-5 right triangle scaled up by a factor of 3, making it a 9-12-15 right triangle. The area of a right triangle is given by [tex]\(\frac{1}{2} \times \text{base} \times \text{height}\).[/tex]
So, the area of the cross-section is [tex]\(\frac{1}{2} \times 12 \times 9 = 54\)[/tex] square inches.
Therefore, the correct answer is (C) 54 square inches.
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On a test, the multiple choice portion makes up 80% of the final score and the essay portion makes up 20% of the final score.
Tanya scored an 86 on the multiple choice portion and a 93 on the essay portion of the test.
What was Tanya's test score?
Enter your answer as a decimal in the box.
______________________
WILL MARK BRAINLIEST
Answers
.20 x 93 = 18.60
.80 x 86 = 68.80
18.60 + 68.80 = 87.40
87.40 hop this helps
Asta needs a spanner for a 5-8 inch nut on her camping stove.
The shop sells 12mm spanners, 14mm spanners and 16mm spanners.
Asta knows that 1 inch = 2.54cm
What is the best size spanner for asta to buy?
Answers
After conversion, a 5-8 inch nut would require a spanner size between 127mm to 203.2mm. Unfortunately, the available spanner sizes (12mm, 14mm, 16mm) are all too small.
Explanation:To find out which spanner Asta needs, we first need to convert the inch measurements to millimeters (mm), as the spanners are sold in mm. Asta's nut size is 5-8 inches. She knows one inch equals 2.54cm. To convert these to mm, we multiply the values by 10 as 1cm is equal to 10mm. So, 5 inches equals 127mm and 8 inches equals 203.2mm. Given the available sizes of spanners (12mm, 14mm, and 16mm), none of these would fit her nut, as they are all far too small.
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Each question mark represents a missing exponent. Find the missing value of the exponent needed to make the equations true.
(6^3)^?=1
Please explain how you got your answer. Thanks!
Answers
(6^3)^0=1
(216)^0=1
1=1
Year Snowfall in inches
2001 11
2002 15
2003 19
2004 17
2005 23
2006 20
2007 17
2008 13
2009 18
2010 21
A town's yearly snowfall in inches over a 10-year period is recorded in this table.
What is the mean of the snowfall amounts?
a. 16.4 in.
b. 17.1 in.
c. 17.4 in.
d. 18.1 in.
Answers
Answer:
17.4 inches
Step-by-step explanation:
The mean is the average of all the numbers listed in the set. In order to find the mean you must add up all the numbers in the set and divide it by the number of numbers in the set.
Answer: C
Step-by-step explanation:
If you add up all of the numbers, then divide by how many numbers there are, you find the mean.
In this Question, you add 11,15,19,17,23,20,17,13,18, and 21. You get 174 as the answer. You divide by 10 and get 17.4. C is the answer.
Bob can cut through a log in 3 minutes. How long will it take him to cut a 25foot log into 5 foot sections?
Answers
5×3 = 15
Time required to cut a [tex]25[/tex] foot log into [tex]5[/tex] sections is equal to [tex]12[/tex] minutes as per given condition.
What is time?" Time is defined as the duration required to complete something. It is a measurable period with some definite or indefinite action."
According to the question,
Time required to cut a log [tex]=3[/tex] minutes
Length of a given log [tex]=25[/tex] foot
Length of each section to be cut [tex]= 5[/tex] foot
Number of section cut from given log [tex]= \frac{25}{5}[/tex]
[tex]=5[/tex] logs
As shown in the diagram,
Number of log Bob has to cut to get [tex]5[/tex] logs [tex]= 4[/tex]
Time required to get [tex]5[/tex] logs [tex]= 3\times 4[/tex]
[tex]= 12[/tex] minutes
Hence, time required to cut a [tex]25[/tex] foot log into [tex]5[/tex] sections is equal to [tex]12[/tex] minutes as per given condition.
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help with the question
Answers
so you need to add yearbook pictures and paper pictures ( 270 + 180 = 450 total pictures)
you would then need to divide the number of year book pictures by total pictures
so 270 /450
Answer F has the correct fraction of 270/450
Claire’s mother is 4 years more than twice Claire’s age. The sum of their ages is 58 years.
Answers
Claire’s mother is 4 years more than twice Claire’s age = 2x + 4
The sum of their ages is 58 years:
x + 2x + 4 = 58
3x + 4 = 58
3x = 54
x = 18
Claire's age = 18
Claire’s mother = 2(18)+4 = 36 + 4 = 40
claire's mothers age = 2x+4 ( 4 more than twice claire's age)
sum is addition
x + 2x+4 = 58
add like terms ( x +2x = 3x)
3x +4 = 58
subtract 4 from each side:
3x = 54
divide both sides by 3
x = 54 /3
x = 18
Claire is 18 years old
Claire's mother is 2*18 = 36 +4 = 40 years old
I need to find the volume of the prism
Answers
because when you multiply 14 times 12 times 13 you get 2184
Answer:
Option d
Volume of the prism is, 2184 cubic inches
Step-by-step explanation:
Since this figure represents the rectangular prism;
from this figure; we have
Length of rectangular Prism [tex](l)[/tex] = 13 in
Width of rectangular Prism (w)= 14 in
and height of rectangular Prism (h) = 12 in
Now, we can determine the volume of a rectangular prism by either multiplying the area of the base times the height or by multiplying the length, width and height.
i.e, [tex]V = A \cdot l[/tex] cubic unit where A is the area of the rectangular prism and [tex]l[/tex] is the length respectively or
[tex]V = l\cdot w \cdot h[/tex]
⇒ [tex]V = 13 \cdot 14 \cdot 12[/tex] cubic inches
Simplify we get,
[tex]V = 2184[/tex] cubic inches
Therefore, the volume of the prism is, 2184 cubic inches
Help me solving those seven equation please 12x-9=8x-37 , 11x=8x-6, -x-29=13+2x ,2(4x+7)=2x-4 ,2x+15=43-5x ,-14+3(x+10)=7(2x+4)+x , and 8(x+3=12x-4
Answers
1. x = -7
2. x = -2
3. x = -14
4. x = -3
5. x = 4
6. x = -1
7. x = 7
what is forty six squared
Answers
Brian makes 8% commission on sales. Weekly says total 4580, what is his Commission
Answers
To find Brian's commission, multiply his weekly sales of $4,580 by his commission rate of 8%. His commission for the week would be $366.40.
Explanation:To calculate Brian's commission, we need to apply the commission rate to his total weekly sales. Since his commission rate is 8%, we can calculate the commission by multiplying his total sales (
$4,580) by 0.08.
The calculation would be as follows:
Commission = Total Sales x Commission Rate
Commission = $4,580 x 0.08
Commission = $366.40
Therefore, Brian will earn a commission of $366.40 on his weekly sales.
A kite has diagonals 9.2 ft and 8ft. What is the area of the kite?
Answers
Who needs a kite that big? Anyways, to get the area of the kite you would multiply it's dimensions together:
9.2 x 8 = 73.6 feet
Points Possible: 1, Points Correct: 0 ∠A and ∠B are supplementary. If m∠A = 83° , what is the measure of ∠B?
Answers
The problem you gave already gave angle A which is 83 degrees, therefore all you have to do is take 83 degrees and subtract it from 180 degrees which equals to 97 degrees.
97? not an option. Maby 98