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?
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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.
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]
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
Draw 2 lines to cut each triangle into the given shapes. 1 pentagon and 2 triangles
Answer:
cut the two lines at the corner, don't let the lines touch
Step-by-step explanation:
Two lines are drawn at corner of a big triangle and lines should not touch each other
Pentagon & TriangleAny quadrilateral which has five sides is known as pentagonAny quadrilateral which has three sides is known as triangleWhat are the steps to draw?Steps to draw the Pentagon & Triangle are as follow:
First draw one big triangleAfter that from right corner of big triangle mark point on two sides of triangle and draw line passing through this pointsRepeat step 2 from left cornerSo two triangle and one pentagon is produced
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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
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.
Help! I’m trying to help my friend get caught up who had been ill.
Answer:
down below
Step-by-step explanation:
i answered so that the other guy can get a brainliest:)
what is the sum of the sequence 4 + 9 + 14 + 19 + 504
Answer:
550
Step-by-step explanation:
using my brain
Answer:
550
Step-by-step explanation:
common sense.........
PLEASE HELP WITH ALL IT WOULD BE NICE IF YOYU WOULD
Jina wanted to study how the area of a rectangle changes with the length if it’s width is fixed. She computed the areas of several rectangles that have the same width and different lengths. She then employed the results and connected them with a line, as shown in the picture. The graph shows the area (in m2) versus the length (in m)
Find the range and domain for the functions shown.
(A). Domain:
(B). Range:
Answer:
The domain and the range of the function are, respectively:
[tex]Dom\{f\} = [0\,m,5\,m][/tex]
[tex]Ran\{f\} = [0\,m^{2}, 10\,m^{2}][/tex]
Step-by-step explanation:
Jina represented a function by a graphic approach, where the length, measured in meters, is the domain of the function, whereas the area, measured in square meters, is its range.
[tex]Dom\{f\} = [0\,m,5\,m][/tex]
[tex]Ran\{f\} = [0\,m^{2}, 10\,m^{2}][/tex]
Answer:
Step-by-step explanation:
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
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:
A self-serve frozen yogurt store made these graphs to study the data collected about its customers' purchases. Which statement is true?
Answer:
C (yogurt sales had a decresing trend)
Step-by-step explanation:
so because if you look over other staistics they are not true and this one is
The yogurt sales has been decreasing in the last four months of 2011, the correct option is C.
What is a Graph?Graph is a mathematical representation of relation between two objects.
The pie chart, line graph and the data table has to be studies to answer about the trend that is followed for the customer purchases of ice creams and yogurt.
The yogurt sales has been decreasing in the last four months of 2011.
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4(-3)(-2)
How do
I do this?
Answer:
4(-3)(-2) = 24
Step-by-step explanation:
first solve the numbers in parenthesis.
4(-3)(-2)
= 4(6)
the negative sign cancels out in the product, because both of the numbers you multiplied are negative, which makes the product positive.
now solve for 4(6).
4(6) = 24
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
In this figure shown, m and n are parallel lines. What’s the value x?
Math practice
Will give brainest if correct
Answer:
x > 24
Step-by-step explanation:
12 + 12 = 24
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
x% of 31 is 3.317, 4,407 is 39% of y
Answer:
x=10.7, y=11300
Step-by-step explanation:
x%of 31 = 3.317
x/100×31=3.317
31x/100=3.317
31x= 3.317×100
x= 3.317 ×100/31
x =10.7
4407= 39% of y
4407= 39/100 × y
4407 =39y/100
4407×100=39y
4407 × 100/39=y
11300=y
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
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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)
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.
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
please help me for this question:
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
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.
City officials estimate that 46 percent of all city residents are in favor of building a new city park. A random sample of 150 city residents will be selected. Suppose that 51 percent of the sample are in favor of building a new city park. Which of the following is true about the sampling distribution of the sample proportion for samples of size 150?
Answer:
D
Step-by-step explanation:
The distribution is approximately normal, and the mean is 0.46.
8. Use the information in the table to write 5 ordered pairs that have cats as the input value
and dogs as the output value.
Sharif stared a new job working 15 hours a week after how many weeks will he have worked a total of 75 hours ?
Answer: 5 weeks
Step-by-step explanation: Please give me brainliest
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!