Answers
Answer:
RQ = 10
Step-by-step explanation:
When two triangles are similar, the ratio of their corresponding sides are equal;
Thus, we have it that;
QP/RQ = BC/AB
12/RQ = 36/30
RQ = 12 * 30/36 = 10
Related Questions
The diagram shows two campsites on opposite ends of a lake and two triangles formed by intersecting segments from the campsites.
Campsites F and G are on opposite sides of a lake. A survey crew made the measurements shown on the diagram. What is the distance between the two campsites? The diagram is not drawn to scale. The triangles are proportional.
Answers
Answer:
x=42.3m
Step-by-step explanation:
x/47=82.8/92
92x=3891.6= 42.3m is the distance
Given that the triangles formed are similar, the distance between the two campsites is: 42.3 m.
What are Similar Triangles?Triangles that are similar to each other always have the same shape but different sizes, and the ratio of their corresponding sides are equal (proportional).
The two triangles formed are similar triangles. Therefore:
47/FG = 82/73.8
Cross multiply
FG = (47 × 73.8)/82
FG = 42.3 m
Therefore, given that the triangles formed are similar, the distance between the two campsites is: 42.3 m.
Learn more about similar triangles on:
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What is the product of a,b, and c?
Answers
Answer:
[tex] abc = - \frac{16}{3} [/tex]
Step-by-step explanation:
[tex] {x}^{ - 2} {y}^{3} \sqrt[3]{ 64{x}^{5} {y}^{3} } = a {x}^{b} {y}^{c} \\ \\ {x}^{ - 2} {y}^{3} \times 4 \times {x}^{ \frac{5}{3} } \times y= a {x}^{b} {y}^{c} \\ \\ 4 {x}^{ \frac{5}{3} - 2 } {y}^{3 + 1} = a {x}^{b} {y}^{c} \\ \\ 4 {x}^{ \frac{5 - 6}{3} } {y}^{4} = a {x}^{b} {y}^{c} \\ \\ 4 {x}^{ \frac{ - 1}{3} } {y}^{4} = a {x}^{b} {y}^{c} \\ \\ equating \: like \: terms \: on \: both \: sides \\ \\ a = 4 \\ \\ b = - \frac{1}{3} \\ \\ c = 4 \\ \\ abc = 4 \times ( - \frac{1}{3} ) \times 4 \\ \\ = 16 \times ( - \frac{1}{3} ) \\ \\ abc = - \frac{16}{3} [/tex]
Which property is demonstrated below?
(a+b)+c=(b+a)+c
A. Commutative property of addition
B.Associative property of addiction
C.Identity property of addition
D.Distributive property
Answers
Answer:
Associative property of addition
Answer:
B.Associative property of addiction
Step-by-step explanation:
PLEASE HELP ME ASAP!!!
Answers
Answer:
5x6x7=210x2=420
Step-by-step explanation:
Find the volume of the cylinder. Round your answer to the nearest tenth.
V =
Answers
Answer:
1526.81
Step-by-step explain
v=[tex]\pi[/tex]*radius^2*Hight
Sara collected $135 in donations for the hospital. This represents 5% of the total amount collected by her class. How much did the class collect in all?
A.$6.75
B.$130
C.$140
D.$2700
Answers
Answer:
Step-by-step explanation:
A(5/100)=135
A=100(135)/5
A=$2700
Answer:
D
Step-by-step explanation:
5/100 = 135/x
Cross multiply
5 × x = 100 × 135
5x = 13500
Divide both sides by 5 to isolate the variable
x = 2700
$2700
Check work by plugging the x value into the equation
5/100 = 135/2700
Convert 5/100 so that it has the same denominator as the other fraction
5 × 27/100 × 27
135/2700
135/2700 = 135/2700
Do they equal?
Yes, so our answer is correct
Here is a right square pyramid. Round answers on this problem to the nearest tenth if necessary. what is the height of the pyramid? what is the volume of the pyramid?
Answers
Answer:
height = 6
volume = 60 in³
Hope this helps!
Answer:
Height = 4
Volume = 48 units ^3
Step-by-step explanation:
Find the missing side
Answers
Answer:
20
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2, where a and b are the sides and c is the hypotenuse
15^2 + b^2 = 25^2
225 + b^2 = 625
b^2 = 625 -225
b^2 =400
Take the square root of each side
sqrt(b^2) = sqrt(400)
b = 20
please help, i am being timed!!
Which expression is equivalent to StartFraction 7 Superscript 5 Over 7 squared EndFraction?
A) (7 times 5) (7 times 2)
B) (7 times 7 times 7 times 7 times 7) (7 times 7)
C) StartFraction 7 times 5 Over 7 times 2 EndFraction
D) StartFraction 7 times 7 times 7 times 7 times 7 Over 7 times 7 EndFraction
Answers
the answer is D
hope that helps
Answer:
the answer is D
Step-by-step explanation:
If a car travels 825 miles in 15 hours and the car travels at an constant rate how many miles does the car travel in 1 hour?
Answers
Answer:
55 miles
Step-by-step explanation:
Given data
DIstance = 825 miles
Time = 15 hours
Speed= distance/time
Speed= 825/15
Speed= 55 miles per hour
Given that we want to find the distance traveled in 1 hour, we have
Distance= Speed*time
Distance= 55*1
Distance= 55 miles
Hence the car will travel 55 miles in 1 hour
Helpppp plzzz I will mark brainliestttt
Answers
615.44 in squared for total surface area.
n is an integer with -5 < 2n <6
write down all the values of n?
Answers
Answer:
The values of n are less than 3 and more than (-5/2)
Step-by-step explanation:
The given inequality is :
-5 < 2n <6
We need to write the values of n.
Dividing both sides of the inequality by 2. So,
[tex]\dfrac{ -5}{2} < \dfrac{2n}{2} <\dfrac{6}{2}\\\\=\dfrac{ -5}{2}<n<3[/tex]
So, the values of n are less than 3 and more than (-5/2).
A student wants to arrange four points to form a rectangle on a grid. She has already placed points at Syntax error. Where should she place the last point? PLEASE HURRRY
Answers
Question:
A student wants to arrange four points to form a rectangle on a grid. She has already placed points at (-4. 4). (-4, 8). and (4, 8). Where should she place the last point?
Answer:
[tex]D = (4,4)[/tex]
Step-by-step explanation:
Let the rectangle be ABCD
[tex]A = (-4,4)[/tex]
[tex]B= (-4,8)[/tex]
[tex]C = (4,8)[/tex]
Required
Determine the location of the last point
A rectangle has the following coordinates
[tex]A = (x_1,y_1)[/tex]
[tex]B = (x_1,y_2)[/tex]
[tex]C = (x_2,y_2)[/tex]
[tex]D = (x_2,y_1)[/tex]
From the given coordinates:
[tex]x_1 = -4[/tex] --- see x coordinates of A and B
[tex]x_2 = 4[/tex] --- see x coordinates of C
[tex]y_1 =4[/tex] --- see y coordinates of C
[tex]y_2 =8[/tex] --- see y coordinates of B and C
So:
[tex]D = (x_2,y_1)[/tex]
[tex]x_2 = 4[/tex]
[tex]y_1 =4[/tex]
The coordinates of the last point (D) is:
[tex]D = (4,4)[/tex]
Probability of drawing one yellow ball from a box containing 20 blue balls, 15 white balls and 10 yellow
Answers
Answer:
[tex]\frac{2}{9}[/tex]
Step-by-step explanation:
The probability of an event is calculated by dividing the number of successful outcomes by the number of total outcomes. In an algebraic expression, that would be [tex]\frac{successful}{total}[/tex].
In this case, there are a total of [tex]20+15+10=45[/tex] ways to choose any ball, since there are [tex]45[/tex] balls in the box. However, only [tex]10[/tex] are yellow, so there are [tex]10[/tex] ways to successfully choose a yellow ball. Therefore, the probability of choosing a yellow ball is [tex]\frac{10}{45}=\frac{2}{9}[/tex]. Hope this helps!
In a card game, one of the players wants to draw two DIAMONDS in a row from a newly shuffled deck. (Recall a deck of cards has 52 total cards
and 13 of each symbol, including 13 diamonds.)
Create a tree diagram.
What is the probability ONE of the two cards is a diamond?
What is the probability the second card is a diamond, GIVEN the first card drawn was a diamond?
(CLICK YOUR ANSWER FROM THE OPTIONS BELOW. DON'T TYPE YOUR ANSWER IN.)
Word Bank:
382.59.235.254.191 25.559 231
Blank 1:
Blank 2:
Answers
Part A
The probability of getting diamonds on the first draw is 13/52 since we have 13 diamonds out of 52 total.
The probability of getting a non-diamond card on the second selection is 39/51 since we have 39 non-diamond cards out of 52-1 = 51 cards left over. Whatever card that was selected first is not put back. In this scenario, we are picking exactly one diamond card.
The probability of both events occurring is (13/52)*(39/51) = 13/68. I skipped a few steps but hopefully you can see how I arrived at that fraction.
The same probability shows up if we had a non-diamond card drawn first followed by a diamond card. This is because we compute (39/52)*(13/51) = 13/68.
So overall, the answer as a fraction is 13/68 + 13/68 = 26/68 = 13/34
The answer in decimal form is roughly 13/34 = 0.3824 which converts to 38.24%
---------------
Answer in fraction form = 13/34Answer in decimal form = 0.3824 (approximate)Answer in percent form = 38.24% (approximate)============================================================
Part B
We're told that "given the first card drawn was a diamond" so we only need to worry about the second card.
We have 13-1 = 12 diamonds left out of 52-1 = 51 total.
The probability of picking another diamond is 12/51 = 0.2353 approximately. This converts to 23.53%
-----------------
Answer in fraction form = 12/51Answer in decimal form = 0.2353 (approximate)Answer in percent form = 23.53% (approximate)Sekhar gives a quarter of his sweets to Renu and then gives 5 sweets to Raji. He has
7 sweets left. How many did he have to start with?
Answers
Answer:
16 sweets
Step-by-step explanation:
Number of sweet that Sekhar had = x
Sweets given to Renu = (1/4) of x = [tex]\frac{1}{4}x[/tex]
Sweets given to Raji = 5
Remaining sweets = 7
[tex]x = \frac{1}{4}x +5 + 7\\\\x -\frac{1}{4}x = 12\\\\\frac{4*x}{1*4}x-\frac{1}{4}x = 12\\\\\frac{4x}{4}-\frac{1}{4}x= 12\\\\\frac{3x}{4}=12\\\\x = 12*\frac{4}{3}\\\\x=4*4\\\\x=16[/tex]
The square root of 14641 will have how many digits
Answers
Answer:
3 digits
Step-by-step explanation:
Hopefully that helps.
Answer:
3 digits
Step-by-step explanation:
Using a calculator, we find √14641 = 121, which has 3 digits.
Analyze the following situations that represent a relationship between x and y. Which situations can be modeled by the equation y = 0.23x? Select two that apply.
Answers
Answer:
I think it's A and D
Step-by-step explanation:
For option A, y would be the height or total growth, and x would be time or months and total height = 0.23 feet × 7.5 months
for option D, y would be the total amount of money spent and x would be the number of granola bars bought. total money spent = $0.23 × number of granola bars bought
Options B and C don't work because we don't know the initial values and an initial value would be represented in the equation.
In option E, 0.23 represents the total growth in 7 days, so it would be the total instead of the rate of change
38 is 90 percent of what
Answers
Answer:
42.22 (2 repeating)
Step-by-step explanation:
When you are given percentage problems, you deal with the percent (%), base (amount you are starting with), and the amount.
Starting with the most basic equation,
Percent * Base = Amount
In this problem, you are given the amount (38) and the percent (90)
So to find the base, you can do
Base = Amount / Percent
As always, convert the percent to a decimal by dividing by 100.
38/ 0.9 = 42.222 repeating
Answer:
38 is 90 Percent of What Number?
42.22
Step-by-step explanation:
A store manager earns $ 24.00 per hour. If the manager works 8 hours one day and donates 1 10 of the day's earnings to charity, how much of the earnings are left?
Answers
But if u donated 110 then it would be $82
vertex (0,0) focus (0,-1)
A) y=1/4 x^2
B) y=-1/4x^2
C) y=1/16x^2
D) y=-1/16x^2
Answers
Answer:B
Step-by-step explanation:
One banana cost $30 how many do 80 bananas cost
Answers
Answer:2400 ...
Step-by-step explanation:
Using logarithm table evaluate the
[tex] \frac{ \sqrt[3 ]{1.376} }{ \sqrt[4]{0.007} } [/tex]
Answers
By using the logarithm table, the value of the expression is approximately written as 5.796.
To begin, let's use the properties of radicals and logarithms to rewrite the expression:
[tex]\frac{\sqrt[3]{1.373} }{\sqrt[4]{0.007} } = 1.373^{1/3} \times 0.007^{-1/4}[/tex]
Now, we can utilize logarithm tables to evaluate each term separately. Using logarithms, we can convert the above expression into a more manageable form:
=> 1.373 ¹/₃ = 1.092,
=> 0.007⁻¹/₄ = 5.311
Finally, we can substitute the approximated values back into the original expression:
≈1.092×5.311≈5.796.
To know more about logarithm here
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What is the slope of the line?
What is the y-intercept?
Write the equation of the line
Answers
Answer:
slope is 2
y-intercept is 3
equation y=2x+3
Step-by-step explanation:
Answer:
slope=4/2 or 2
y-intercept=3
equation=y=2x+3
the slope would be 4/2 because if you do the triangle method you see that the vertical distance of y is 4 and the horizontal distance of x is 2 so that gives you 4/2 the y intercept is where the line starts at 0 which you can see is 3. if the equation is y=mx+b you plug in the slope which is 4/2 or 2 and plug in the y-intercept which is 3 which gives you y=2x+3
Which other expression has the same value as (-14 ) - 8? Explain your reasoning
a(-14) + 8
b14 - (-8)
c14 + (-8)
d (-14) + (-8)
Answers
In a triangle with vertices A,B and C, if C =64° and the lengths AC= 40mm and BC= 70mm find the length AB using cosine rule
Answers
Answer:
63.6mm
Step-by-step explanation:
According to cosine rule;
AB² = BC²+AC²-2(BC)(AC)cos m<C
Substitute the given values
AB² = 70²+40²-2(70)(40)cos 64
AB² = 4900+1600-5600cos64
AB² = 6500-5600(0.4384)
AB² = 6500-2,454.87
AB² = 4,045.12
AB = √4,045.12
AB = 63.6mm
Hence the length of AB is 63.6mm
a) Length of a Rectangular playground is 15m and width of the playground is
12m.David wants to level the playground .How much area he has to level?
b) David will charge 3 pound for leveling of 1m square What will be the total
amount he will charge for leveling the playground.
Answers
Answer:
A. 180 m²
B. 540 pounds
Step-by-step explanation:
Area of rectangular playground = length × width
Length of a Rectangular playground = 15m
width of the playground =
12m
Area of rectangular playground = length × width
= 15m × 12m
= 180m²
B. 1m square = 3 pounds
What will be the total amount he will charge for leveling the playground.
Total cost of leveling the playground = 180 m² × 3 pounds
= 540 pounds
In a computer catalog, a computer monitor is listed as being 25 inches. If the height of the screen is 15 inches, what is the area of the screen to the nearest inch?
Answers
Answer: 20inch
Step-by-step explanation:
Using the Pythagoras theorem:-
25^2 = 15^2 + x^2 where x = the width of the screen.
625 = 225 + x^2
x = √(625 - 225) = √400
= = 20 ins
Which is larger, 9 kilograms or 8,500 grams?
Answers
Answer: 9 kilograms
Step-by-step explanation:
9 kilograms is larger because the kilogram, or kilogramme, is the base unit of weight in the Metric system. It is the approximate weight of a cube of water 10 centimeters on a side. While a gram is a unit of weight equal to 1/1000th of a kilogram. A gram is the approximate weight of a cubic centimeter of water.
Mr. Johnson bought 1.8 pounds of grapes for $2.20 per pound. How much did the grapes cost Mr. Johnson to purchase?
A. $3.96
B.$3.80
C.$0.40
D.$5.40
Answers
Answer:
A. $3.96
Step-by-step explanation:
$2.20 × 1.8 pounds = $3.96