Answer:
17.0 ft
Step-by-step explanation:
Let h be the height of the base of the window from the ground, L be the length of the ladder = 18 ft and d be the distance of the ladder from the wall = 6 ft. Now, these three lengths form a right-angled triangle with the length of the ladder, L as the hypotenuse side.
So, using Pythagoras' theorem,
L² = h² + d²
So, h = √(L² - d²)
Substituting the values of L = 18 ft and d = 6 ft, we have
h = √((18 ft)² - (6 ft)²)
= √(324 ft² - 36 ft²)
= √288 ft²
= 16.97 ft
≅ 17.0 ft
A cake recipe requires 4 and one-half cups of flour to make 1 cake. How many cakes can be made by a baker who has 16 cups of flour?
A. 3
B. 4
C. 40
D. 72
Answer:
3 cakes
Step-by-step explanation:
Answer:
3.
Step-by-step explanation:
The real answer is 3.8 but since you cannot make .8 of a cake the answer is 3.
"The output is 5 less than twice the input
Answer:
x=2x-5
Im pretty sure that's it
Given the function
f(x)=-1/2(1-x)^2,
find f(-5).
Answer:
f(x)= -1/2(1-x)^2
replacing x with -5 since -5 was given as the function
f(-5)=-1/2(1-5)^2
according to bodmas we solve what is in the bracket first
f(-5)=-1/2(-4)^2
f(-5)=-1/2(16)
-1/2*16/1
-16/2=-8
Determine the slope of each line.
1.
ТУ
2.
8
ty
8
115,7)
4
(6,5)
4
Х
0
-4
-8
0
-8
4 8
(
2-2)
4
-
-4, -3)
-8
S
Answer:
The slope of the given line is -4
Step-by-step explanation:
The formula of the slope of a line passes through points (x1, y1) and (x2, y2) is m = [tex]\frac{y2-y1}{x2-x1}[/tex]
In the given figure
∵ The line passes through the points (-6, 5) and (-4, -3)
∴ x1 = -6 and y1 = 5
∴ x2 = -4 and y2 = -3
→ Substitute them in the formula of the slope above
∵ m = [tex]\frac{-3-5}{-4--6}[/tex]
∴ m = [tex]\frac{-8}{-4+6}[/tex]
∴ m = [tex]\frac{-8}{2}[/tex]
∴ m = -4
∴ The slope of the given line is -4
if f(x)=9x-2 find the value of expression f(5)
Answer:
f(x)=43
Step-by-step explanation:
you put the 5 in the places where the x is so
F(5)=9(5)-2
45-2=43
In an experiment, the variable that is manipulated is called the?
Measurement variable
Explanatory variable
Response variable
Confounding variable
Answer:
Explanatory Variable is the right answer it is the variaable being manipulated and observed.
Step-by-step explanation:
aaaaaaaaaaaaaaaaaaaaahhhhhhhhhhhhhhhhh help
Answer:
x = 27
STEP BY STEP:
3 = x/9
3 = x/3 x 2
9 x 3 = x
27 = x
x = 27
Hope this helped! Have a good day!
Solve using graphing substitution or elimination in the picture
Answer:
1) 18 quarters and 30 nickels2) 8 quarters and 12 nickelsStep-by-step explanation:
1) Let quarters be x and nickels be y.
Equations based on given, 48 coins, total of $6 = 600c:
x + y = 4825x + 5y = 600Substitute y in the second equation, y = 48 - x
25x + 5(48 - x) = 60025x + 240 - 5x = 60020x = 360x = 18Then value of y is:
y = 48 - 18 = 302) Similarly to problem 1.
x + y = 2025x + 5y = 260Substitution: y= 20 - x
25x + 5(20 - x) = 26025x + 100 - 5x = 26020x = 160x = 8Then finding y:
y = 20 - 8 = 12What is the value of fraction x plus z plus y over, y, end fraction, when x equals 7, y equals minus 5, and z equals square root of 9 ?
Alejandro uses the steps below to convert StartFraction 5 over 8 EndFraction to a percent. Five-eighths right arrow 8.0 divided by 5 = 1.6. 1.6 = 160 percent. Which best explains Alejandro’s error? The division was computed incorrectly. The division was completed in the incorrect order. The decimal was moved to the right too many times. The decimal was moved to the right instead of the left.
Answer:
A
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
How do i solve tis in need help
slope=2/7 y-intercept=-4
Answer:
y=2/7x-4
Step-by-step explanation:
Write in Slope intercept form
y=mx+b
m = slope
b = y intercept
x = x intercept
y = (0,-4)
So,
y = 2/7x+(-4) substitute
y = 2/7x-4
a scientist is running a simulation of a hypothetical city since she wants to explore its environmental impact over time the city's population is increasing 15 percent every year and there are currently 57,000 people what will the population be in 12 years?
Answer:
203,549 !!!
Step-by-step explanation:
Plz help me out I’m so confused
Answer:
b
Step-by-step explanation:
Answer:
The correct answer would be the second option y-2=1/3(x-3)
Which scenario could be represented by this graph?
Answer:
its is (b) turns the oven on
Answer:
D
Step-by-step explanation:
I did the test
What's the probability of drawing a 5 out of a standard deck of 52 cards
Parallel lines r and s are cut by two transversals, parallel lines t and u.
How many angles are alternate interior angles with angle 9?
Answer:
2
Step-by-step explanation:
If f(x) = 3x + 2, what is f(5)?
Answer:
f(5)=3(5)+2 = 17
Step-by-step explanation:
A jewelry artist is selling necklaces at an art fair. It costs $135 to rent a booth at the fair. The cost of materials for each necklace is $4.50. The artist is selling the necklaces at $12 each. The inequality LaTeX: 12n > 135 + 4.50n12 n > 135 + 4.50 n represents the situation in which the artist makes a profit. Will the artist make a profit if she sells 15 necklaces? Show how you know. Be sure to indicate what the variable n represents.
Answer:
The artist will make a profit if she sells 15 necklaces. This is known because 15 is greater than 11.625 (i.e. 15 > 11.625).
Step-by-step explanation:
Note: The question contains some error. The question is therefore rewritten before is answered as follows:
A jewelry artist is selling necklace at an art fair. It costs $135 to rent a booth at the fair. The cost of material for each necklace is $4.50. The artist is selling the necklace at $12 each. The inequality 12n>135+4.50 represents the situation in which the art is making the profit. Will the artist make a profit if she sells 15 necklaces? Show how you know. Be sure to indicate what the variable n represents.
The explanation of the answer is therefore given as follows:
Given;
12n > 135 + 4.50 .................... (1)
Where n represents the number of necklace that must be sold by the artist to make a profit.
Solving for n from equation, we have:
12n > 139.50
n > 139.50 / 12
n > 11.625 ..................... (2)
Equation (2) implies that more than 11.625 necklaces must be sold by the artist to make a profit.
When the artist sells 15 necklaces, it implies that n = 15.
Since more than 11.625 necklaces must be sold by the artist to make a profit, it therefore implies that the artist will make a profit if she sells 15 necklaces. This is known because 15 is greater than 11.625 (i.e. 15 > 11.625).
Find the measure of <1
Consider the triangle (in which angle4 is present)
by angle sum property,
20 + 40 + angle4 = 180
60 + angle4 = 180
angle4 = 180 - 60
angle4 = 120
Also,
angle2 = 120 (vertically opposite angles)
angle1 + angle2 = 180 (linear pair)
angle1 + 120 = 180
angle1 = 180 - 120
angle1 = 60
Need help please!!!!!
Answer:
0 or 5/12
Step-by-step explanation:
with everything subtracted its 0 but with only subtracting 1/6 its 5/12
The original price of a ski jacket was $220. It was on sale at a 25% discount. Arianna had a coupon for an additional 10% off the sale price.
What price did Arianna pay for the ski jacket?
How many terms are in the expression below?
-4x + 7 + 2x + 10
Answer:
3
Step-by-step explanation:
Estimate 5,860÷2.1≈
i really need help on it.
Answer: it 2790
Step-by-step explanation:
The value of 5,860÷2.1 is 2790.
What is division?
In easy phrases, the division may be described because of the splitting of a massive institution into smaller companies such that every institution may have the same number of items. it's far an operation used for identical grouping and the same sharing in math.
What are the terminologies used in the division?dividend, divisor, quotient remainder.Learn more about division here: https://brainly.com/question/25289437
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ALREADY LATE PLS HELP!!!
Answer:
36 ounces
Step-by-step explanation:
9 x 4 = 36
how are ASA and AAS used to show that triangles are congruent?
Answer:
If two pairs of corresponding angles and the side between them are known to be congruent, the triangles are congruent. This shortcut is known as angle-side-angle (ASA). Another shortcut is angle-angle-side (AAS), where two pairs of angles and the non-included side are known to be congruent.
In ASA, two angles and one common side is equal and in AAS one not common side and two angles are equal.
What is triangle?Simple polygons with three sides and three internal angles make up triangles. One of the fundamental geometric shapes is represented by the symbol and consists of three connected vertices.
The ASA congruence means, there will be two corresponding angles and one side between them will be equal, then the triangles are congruent.
The AAS congruence means, there will be two corresponding angles and one side excluded from them will be equal, then the triangles are congruent.
To know more about Triangles:
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(umm can anyone help me please) I’ll give brainlist <3
Answer:
12
Step-by-step explanation:
8 times 1.5
Click on photo if neccessary
a company makes a cone-shaped container with a height of 15 in. The area of its base is about 78.8 in.2 Approximately what is the volume if the container?
Answer:
Approximately the volume of cone-shaped container is 393 in³.
Step-by-step explanation:
what is the slope of the 2 points (10,15) (6,23)
Answer:
The slope is -2.
Step-by-step explanation:
m=y2-y1/x2-x1 (also, y1-y2/x1-x2 is also true.)
=23-15/6-10 m=15-23/10-6
= 8/-4 =-8/4
=4/-2 =-4/2
= 2/-1 =-2/1
m=-2 m=-2
Which of the following words describe the slope of a vertical line?
a. negative
c. undefined
b. positive
d. zero
Answer:
Undefined the slope is a slope line
Step-by-step explanation:
It is horizontal straight across