9514 1404 393
Answer:
18 feet
Step-by-step explanation:
The ladder length represents the hypotenuse of a right triangle with a base of 9 and an unknown height (h). We can find that height by using the Pythagorean theorem.
9² +h² = 15²
h² = 225 -81 = 144
h = √144 = 12
So, the ladder extends 12 feet up the side of the building. That is the height of the roof. The top of the flagpole is 6 feet above that, so the top of the flagpole is ...
12 ft + 6 ft = 18 ft
above the ground.
The height to the top of the flagpole is 18 feet.
Answer:These are the following dimensions:
1
.
base
=
5
f
t
2
.
hypotenuse
=
15
f
t
3
.
height
=
?
f
t
To solve for the height, use the Pythagorean Theorem, which is:
a
2
+
b
2
=
c
2
where:
a
=
height
b
=
base
c
=
hypotenuse
Substitute your known values into the equation to find the height:
a
2
+
b
2
=
c
2
a
2
+
(
5
)
2
=
(
15
)
2
a
2
+
25
=
225
a
2
=
200
a
=
√
200
a
=
10
√
2
⇒
simplify the radical
a
≈
14.14
f
t
∴
, the ladder goes approximately
14.14
f
t
up the building
Step-by-step explanation:
Are these triangles congruent ?
And what is the theorem ?
I will give a brainlist for the correct answer :)
To create a unique house paint color, Melton mixes together a sample that is 12 gallons of red, 2.5 gallons of yellow and 0.5 gallons of blue paint. He then mixes a main batch of paint using 30 gallons of yellow paint and enough red and blue paint to maintain the original ratio. How many total gallons of paint did he use to make the main batch of paint?
Answer:
180
Step-by-step explanation:
total ratio is 15
gallons of red =
[tex] \frac{12}{15} \times 6 \times \frac{15}{0.5 } \\ \\ = 144[/tex]
gallons of yellow
[tex]30[/tex]
gallons of blue
[tex] \frac{0.5}{15} \times 30 \times \frac{15}{2.5} \\ \\ = 6[/tex]
total =144+30+6
=180
Answer:
180
Step-by-step explanation:
37) True or False: A high school principal surveys the community about the high school's basketball program.
The school sends surveys to 5,000 households and receives 120 forms back. This is an example of nonresponse.
Answer:
true
Step-by-step explanation:
42 - 41 – 6 = 30
a
X = 13
X = 13, X=-5
x = 5, x = -13
Answer:
x=5
Step-by-step explanation:
When Angelo cashed a check for $170, the bank teller gave him 12 bills, some $20 bills and the rest $10 bills. How many bills of each denomination did Angelo receive?
Answer:
7 ten dollar bills and 5 twenty dollar bills
Step-by-step explanation
He recieved 5 bills of $20 and 7 bills of $10.
What is a expression? What is a mathematical equation?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.We have the following statement Angelo cashed a check for $170, the bank teller gave him 12 bills, some $20 bills and the rest $10 bills
We can write -
20x + 10y = 170
x + y = 12
So, we can write -
y = 12 - x
We can write -
20x + 10(12 - x) = 170
20x + 120 - 10x = 170
10x = 50
x = 5
then -
y = 7
Therefore, he recieved 5 bills of $20 and 7 bills of $10.
To solve more questions on Equations, Equation Modelling and Expressions visit the link below -
brainly.com/question/14441381
#SPJ2
what's the constant of proportionality of 1.08p=t
Answer:
1.08 is the constant of proportionality.
Step-by-step explanation:
The constant value (often written k) relating amounts that rise or fall uniformly together.
It is the ratio of the amounts y and x:
k = y/x
Put another way: y = kx
Example: you are paid $20 an hour
The constant of proportionality is 20 because: Pay = 20 × Hours worked
How do I solve this ?
Answer:
See attachment :D
Step-by-step explanation:
y = 2/3x + 2
This is in slope-intercept form, y = mx+b. m is the slope, 2/3, and b is the y- intercept, 2. So you know the line intersects with the y-axis at (0,2). The slope is 2/3. So you can move up two points, then over three. Because it's a positive slope, you move right. This leaves you at point (0,3). Connect a line between these two points.
The line intersects with points (-3,0) and (0,2).
Hope this is helpful ^^ Good luck with your test :D
After using some of the honey they collected for baking, they found that they only had 34 gallon of honey left. How much honey did they use for baking? Support your answer using a diagram, numbers, and words.
Answer:
34 gallons of honey left
Step-by-step explanation:
HELPPPPPPPPPPPP]PPPPPP
Answer:
If Cora runs 1/2 mile per week and x is the number of weeks, then she will run 5+1/2x. Then determine how many weeks are in two and a half months (depends on which month it is as there are less weeks in February than in January!) but we could estimate 6.
For Hana, you will have 3+ 3/4 x First equation is y=5+1/2 x and then plug 6 in for x to solve for y. the second equation is y=3+3/4x and plug in 6.
Step-by-step explanation:
First equation is y=5+1/2 x and then plug 6 in for x to solve for y. the second equation is y=3+3/4x and plug in 6.
In slope-intercept form, write the equation of the line passing through the points (-4,1) and (-3,2).
Answer:
the points are starting at 5y and the slope line goes up to (6, 1) and goes down to (-1, 4 ), (-2, 3), (-3, 2) and (-4, 1) The graph has 1x +5
going to desmos to graph it out you can see the slpe line going through (-4, 1) (-3, 2)
how did you get that answer tho I gotta show my work
Select the point on the graph that matches the value of
20/9
Answer:
The dot just past 2.
Step-by-step explanation:
It's the dot right next to 2,
2.2
Please help!!! I need help
Answer:
Step-by-step explanation:
What the hell is that oh no I am not doing that
(10t + 2r)-8t-r
What is this solved
Answer:
?
Step-by-step explanation:
Answer:
r+2t
Step-by-step explanation:
hope this helps :)
The admision fee at a basket ball game is 350$ for children and 750$ for adults. On a certain night,1500 people enter the basketball game and 6050$ was collected.How many children attended the basketball game?
Note: The only way to solve this problem is by adjusting the fees to $3.50 and $7.50.
Answer:
1300 children attended the basketball game
Step-by-step explanation:
System of Equations
Let's call:
x = number of children attending the basketball game
y = number of adults attending the basketball game
On a certain night, 1500 people enter the game, thus:
x + y = 1500 [1]
Since each admission fee for children cost $3.50 and $7.50 for adults and it was collected $6050, thus:
3.50x + 7.50y = 6050 [2]
From [1]:
y = 1500 - x
Substituting in [2]:
3.50x + 7.50(1500 - x) = 6050
Operating:
3.50x + 11250 - 7.50 = 6050
-4x = 6050 - 11250
Solving:
x = 1300
1300 children attended the basketball game
Please, can someone help me on math? Struggling a bit.
Answer the following question
Answer:
f(-8) = 54
Step-by-step explanation:
To start, replace x in the equation with -8. This will give you f(-8) = 6(1 - (-8)) which can be simplified to f(-8) = 6(1 + 8). Apply the distributive property on the right side of the equation to get f(-8) = 6 + 48. When simplified, you get f(-8) = 54.
The park is 5 miles east of your home. The library is 4 miles north of the park. How far is your home from the library? Round your answer to the nearest tenth. Must show work to receive full credit.
Please help
Answer:
6.4
Step-by-step explanation:
4 squared plus 5 squared is 41 and then you square 41 which gives you 6.4
At a sale, dresses were sold for $142 each. If the dresses originally cost $200 each, what percentage of its original price was a dress sold for?
Answer:
71%
Step-by-step explanation:
All you have to do is divide 142 by 200 to get the percent, which is 70.
A = 2lw – 21h + 2 wh
Solve for h
Select all ratios equivalent to 3:2.
2:12 18:14 27:18
Answer:
27:18.
Step-by-step explanation:
27/9 = 3
18/9 = 2
Answer:
27:18
more equivalent ratios:
6 : 4
21 : 14
Question #5
Consider the equation.
72 +48 = 8
1+6)
Enter the unknown number that makes the equation true.
Your answer
Σ
The ratio of 1.5 to 33 is the same as the ratio of 4.5 to
Answer:
132
Step-by-step explanation:
Find the slope and standard form of the line that passes through the points (3,6) and (4,5)
Answer:
Slope = -1
Step-by-step explanation:
6-5/3-4=-1
(can I get brainliest please)
what is the LCD of 8/9 and 7/8
Answer:
72 I think
Step-by-step explanation:
I'm not 100% sure but I think its 72
Answer:
The Least Common Multiple (LCM) of 8 and 9 is 72,
and the Least Common Multiple (LCM) of 7 and 8 is 56.
need help please help me if u can hlp me
Answer:
your b in y=mx+b is +3
Step-by-step explanation:
parallelogram =
2x, 3x - 15, 2x + 24, 2x
Work out the value of x.
X=2x +£2x -15) +2x +(2x +24) 180= 9x+7x = 9 +9x = 18
Answer:
Step-by-step explanation:
The above figure is a parallelogram and so - "the opposite sides of a parallelogram are equal"
so -
what is 3^6 x 3? Plz show how you solved it!
Are these ratios equivalent?
$4 per 7 items
$8 per 14 items
Answer:
yes
Step-by-step explanation:
4 by 7 is equivalent because 4 times 2 is 8 and 7 times 2 is 14
Answer:
Yes, the ratios are equivalent
Step-by-step explanation:
Brainliest
Does changing the compound inequality x>-3 and x<3 from and" to or change the soluion set? Explain
Answer:
Yes
Step-by-step explanation:
If you look at it. X is basically -2, -1, 0, 1, or 2.
Hope I helped and Pls Mark Brainliest
