Answer:
-0.1692
Step-by-step explanation:
use your cakculator
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.
1. If the spinner below is spun once, find each
probability.
Answer: P(4) - 4/12,1/3,33%,0.33
Step-by-step explanation:
My teacher went over the answers
A 40-inch board is to be cut into three pieces so that the second piece is 3 times as long as the first piece and the third piece is 4 times as long as the first piece. If x
represents the length of the first piece, find the lengths of all three pieces.
What is the length of the first piece?
What is the length of the second piece?
What is the length of the third piece?
Answer:
The first piece is 5 inches long, while the second is 15 inches and the third one is 20 inches.
Step-by-step explanation:
To determine the length of the 3 pieces, knowing that the total of the board is 40 inches, and that the second measures 3 times more than the first and the third measures 4 times more than the first, the following equation must be performed:
X + 3X + 4X = 40
8X = 40
X = 40/8
X = 5
Therefore, the first piece is 5 inches long, while the second is 15 inches and the third 20 inches.
f(x) = -x^2
Find f(3)
Answer:
9
Step-by-step explanation:
f(x) = -x^2
f(3) = -3^2
f(3) = 9
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:
Write in lowest terms:
4rs2/(6s)
Answer:
2rs/3
Step-by-step explanation:
Solve for p. U=1/7pd
Answer:
U =1/7pd
Multiplying through by 7pd, we have U7pd=1
Dividing through by U7d , we have p=U7d*1
Therefore p= U7d
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)
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
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
-4n-8=4(-3n+2) solve for n
Answer:
n=2 see the pic above
Step-by-step explanation:
i am very sure
Answer:
N = 2
Step-by-step explanation:
I got this answer right on Khan Academy.
Hope this helps! :)
please help me for this question:
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
Use the distributive property to remove the parentheses.
-4(-6y + 2w-4)
Answer: 24y - 8w + 16
Step-by-step explanation:
Basically to remove the parenthesis you just distribute the -4 outside of the parenthesi and you get 24y - 8w + 16.
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
Which point is located at the origin?
2
B
14
10
1
A
B
C
D
Answer:
Point A is located at the origin because to origin is (0,0)
Step-by-step explanation:
Answer
A because the origin is at 0,0 and point A is at 0,0
Step-by-step explanation:
A is answer is 0,0.On the flat coordinate plane, there are two axes, the vertical y-axis and the horizontal x-axis. The origin is the point where they intersect.
-Hope this helped
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
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.
i take out the belt for u my I0ved 1.
no h0.mõ if u a man. . .
Answer:
Truw
Step-by-step explanation:
It is exceptional
Math practice
Will give brainest if correct
Answer:
x > 24
Step-by-step explanation:
12 + 12 = 24
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
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"
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
Yeah so How are the numbers related?
Answer:
yay free points numbers are all numbers
Step-by-step explanation:
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
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
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
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!
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
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: