In the diagram, ABC ~ DEF. The area of ABC is 72 square cm. Find the area of DEF.
А
6 cm
B
20 cm
m
Area of DEF
cm
Answer:
120
Step-by-step explanation:
just do 20x 6 and you get 120
Similar triangles may or may not be congruent
The area of triangle DEF is 800 square cm
The given parameters is
[tex]\triangle ABC \sim \triangle D EF[/tex]
This means that the triangles are similar.
The corresponding sides of the triangles are:
[tex]AC = 6[/tex]
[tex]DF = 20[/tex]
So, the scale factor (k) from ABC to DEF is:
[tex]k = \frac{D EF}{ABC}[/tex]
[tex]k = \frac{20}{6}[/tex]
Simplify
[tex]k = \frac{10}{3}[/tex]
The area of triangle DEF is then calculated as follows:
Area = Area of triangle ABC * k^2
So, we have:
[tex]A =72 \times \frac{10}{3} \times \frac{10}{3}[/tex]
[tex]A = 800[/tex]
Hence, the area of triangle DEF is 800 square cm
Read more about similar triangles at:
https://brainly.com/question/14285697
Math practice
Will give brainest if correct
Answer:
x > 24
Step-by-step explanation:
12 + 12 = 24
PLEASE HELP WITH ALL IT WOULD BE NICE IF YOYU WOULD
Write a slope-intercept equation of the line with a slope of — that passes through the point (6, 10).
O A. y = 6x + 10
O B. y=-x +38 3
O C. y=-x +14
O d.y= -x + 6
Answer:
y= -x + 6
please mark as brainliest
If 2^3x-1 = 32 then x = (image included)
a. 5
b. -2
c. 2
d. 4/3
e. -4
Answer:
x is equal to two.
Step-by-step explanation:
We know that 32 is a power of 2. It is in fact two to the power of five. So we can re-express that as:
[tex]2^{3x - 1} = 2^5[/tex]
Because they have the same constant as a base, we can toss the base altogether, and equate the exponents:
[tex]3x - 1 = 5\\3x = 6\\x = 2[/tex]
Dan invests £1600 into his bank account. He receives 3.5% per year simple
interest. How much will Dan have after 2 years? Give your answer to the
nearest penny where appropriate.
Answer:
171200 pennies
Step-by-step explanation:
Amount after 2 years = Principal + Interest
Given
Principal = £1600
Rate = 3.5%
Time = 2years
Get the interest
Interest = PRT/100
Interest = 1600*3.5*2/100
Interest = 32 * 3.5
Interest = £112
Get the amount after 2 years;
Recall that:
Amount after 2 years = Principal + Interest
Amount after 2 years = 1600 + 112
Amount after 2 years = £1712
Hence the amount Dan will have after 2 years is £1712
1712 pounds = (1712 * 100)penny
1712 pounds = 171200 pennies
what is the slope-intercerpt form of the equation -8x+2y=4
Answer:
y= 4x +2
Step-by-step explanation:
Slope-intercept form is y= mx +c.
Thus, rewrite the equation to make y the subject of formula.
-8x +2y= 4
Let's simplify the equation first by dividing both sides by 2.
-4x +y= 2
+4x on both sides:
y= 4x +2
Find the area of this rectangle.
8 cm
11 cm
Answer:
88 cm squared
Step-by-step explanation:
To find area, you multiply the 2 side lengths with each other. So for this problem, you would do 8 times 11.
Answer:
88 cm
Step-by-step explanation:
The formula to find the area of a rectangle is base × height.
base = 11cm, height = 8cm
11 × 8 = 88cm
A 30 -foot ladder is leaning against a building. The base of the ladder is 18 feet from the side of the building. How high does the ladder reach along the side of the building?
========================================================
Explanation:
Refer to the diagram below. We have a right triangle with known horizontal leg 18, and unknown vertical leg x. The hypotenuse is 30.
Let a = x, b = 18, c = 30.
Apply the Pythagorean theorem to solve for x
a^2 + b^2 = c^2
x^2 + 18^2 = 30^2
x^2 + 324 = 900
x^2 = 900-324
x^2 = 576
x = sqrt(576)
x = 24
The top of the ladder reaches 24 feet high.
What is -20 + 1/2 in a decimal form
Answer: The answer is -19.5
Step-by-step explanation: This is because 1/2 is .5 in decimal form. A negative PLUS a positive = is negative since the -20 is larger than .5
Answer:
the answer would be -19.5 :)
Step-by-step explanation:
f(x) = -x^2
Find f(3)
Answer:
9
Step-by-step explanation:
f(x) = -x^2
f(3) = -3^2
f(3) = 9
help pls due today thanks
Answer:
4
Step-by-step explanation:
11.2/2.75=4.07272(repeating number)
Answer:
11 1/5 divided by 2 3/4:
11 1/5 is a bit less than 12, and 2 3/4 is a bit less than 3
The answer, therefore, should be fairly close to 12 ÷ 3
12 ÷ 3 is 4
Answer is 4
Step-by-step explanation:
here ya go bub! (pls mark me brainlest)
Yeah so How are the numbers related?
Answer:
yay free points numbers are all numbers
Step-by-step explanation:
Write in lowest terms:
4rs2/(6s)
Answer:
2rs/3
Step-by-step explanation:
7.43+9.25 Show Your Work
Answer:
16.68
Step-by-step explanation:
just add them like regular numbers then just put the decimal
A scale drawing has a scale is 1 inch up 8 feet. The actual length of the object shown is 42 feet. Find it’s length on the drawing.
Answer:
5.25 inches
Step-by-step explanation:
HELP ME EASY THINKING PROBLEM 20 POINTS
do you move the 6 for the 2?
Step-by-step explanation:
I'm sorry if its wrong
have a good day!
if i earn 5 dollars every 8 mins 20 sces how long until i get 2,700 will mark brainliest URGENT
Answer:
75 Hours
Step-by-step explanation:
First, you'd have to find out how many times 5 dollars can fit into 2700 dollars. You'd simply just divide 2700 by 5. You will get 540.
Next, multiply 8 minutes and 20 seconds by 540. We know that 20 seconds is a third of a minute, so we'll convert 8 minutes and 20 seconds to 8.33 (repeated) minutes.
8.33 (repeated) multiplied by 540 will give you 4500 minutes.
Next, just divide 4500 minutes by 60, and you'll get 75 hours.
please help me for this question:
A job pays $10.00 an hour today.If the same percentage applies to income as well as bread {previous slide}, how much would that job have paid 1955
Answer:
67 cents
Step-by-step explanation:
Answer:
67 cents
Step-by-step explanation:
im smart
Use the graph below to determine the number of solutions the system has.
y = -3 and x = 4
(a) one
(b) two
(c) no solution
(d) infinitely many
y = 15x + 15 How do I interpret the slope and y-intercept?
Answer:
Look at explanation.
Step-by-step explanation:
The equation y = 15x + 15 is using the equation y = mx+b. m, or in this case 15, represents the slope of the equation. b, or in this case 15, represents the y-intercept.
What's the difference between 5.4 x 10-7 and 7.1 x 10-8? Express your answer
using either standard notation or scientific notation.
Answer:
.76 x 10 or 7.6 x 10^0
Step-by-step explanation:
divide coefficients and subtract exponents
5.4 / 7.1 = .76
10^-7 / 10^-8 = 10
In exponential growth functions, the base of the exponent must be greater than 1. How would the function change if the base of the exponent were 1? How would the function change if the base of the exponent were between 0 and 1?
Sample Response: If the base of the exponent were 1, the function would remain constant. The graph would be a horizontal line. If the base of the exponent were less than 1, but greater than 0, the function would be decreasing.
What did you include in your response? Check all that apply.
If the base were 1, the function would be constant.
If the base were 1, the graph would be a horizontal line.
If the base were between 0 and 1, the function would be decreasing.
Answer:
How would the function change if the base of the exponent were between 0 and 1? If the base of the exponent were 1, the function would remain constant. The graph would be a horizontal line. If the base of the exponent were less than 1, but greater than 0, the function would be decreasing.
Step-by-step explanation:
Convert the following angle from degrees, minutes and seconds into decimal degrees.
Round to the nearest hundredth Do NOT include the degree symbol only write the
final number.
78°33'51"
Find the difference. Enter your answer in simplest terms, using the slash (1)
as the fraction bar.
5/8 - 1/3 =?
Answer:
the difference between 5/8 and -1/3
is that if you divide 5/8 = 0.625
and -1/3= -0.333333333
gives the value of the expression b x 4 for b = 21?
Answer:
5
Step-by-step explanation:
Answer:
its A
Step-by-step explanation: i passed the test
Perform the induced operation
(-7x+1)+(- 2x2 + 7x + 8) =
Answer:
-2[tex]x^{2}[/tex] + 9
Step-by-step explanation:
0[tex]x^{2}[/tex] + (-7x) + 1
+ -2[tex]x^{2}[/tex] + 7x + 8
-2[tex]x^{2}[/tex] + 0x + 9
or
-2[tex]x^{2}[/tex] + 9
answered
A swimming pool containing 2000l of water is 1/16 full. How many litres of water is required to make the pool half full
1
SEE ANSWER
Answer:
16,000 liters
Step-by-step explanation:
Assuming the pool does not curve in any direction and is a big box with 90° corners:
1/16. 2,000 liters
2/16. 4,000 liters
3/16. 6,000 liters
4/16. 8,000 liters
5/16. 10,000 liters
6/16. 12,000 liters
7/16. 14,000 liters
8/16. 16,000 liters
9/16. 18,000 liters
10/16. 20,000 liters
Answer:
Half full = 16,000 liters
Need to add 14,000 more liters
Step-by-step explanation:
Proportions and Fractions
The swimming pool contains 2,000 liters of water and it's said to be 1/16 full. this means that the total capacity of the pool is:
2,000 liters * 16 = 32,000 liters
It's required to calculate how many liters of water are required to make the pool half full.
This can be found by dividing the above number by 2, thus:
Half capacity of the pool = 32,000 / 2 = 16,000 liters
We'll provide the following answer in case it's required.
To reach half capacity, it would be necessary to add
16,000 liters - 2,000 liters = 14,000 liters of water to the existing amount.
Hi I’m doing a test and I need help please tell me the answer |
V
Answer: It’s 8
Step-by-step explanation: I just went to desmos