Use similar triangles to calculate the height, h cm, of triangle ABE.
10 cm
D
36 cm
X
h
A А
E
20 cm
Answer:
h = 24 cm
Step-by-step explanation:
By using the similar triangle property in the given triangles,
Since, ΔBCD ~ ΔBAE
Their corresponding sides will be in the same ratio,
[tex]\frac{BC}{BA}= \frac{CD}{AE}= \frac{BD}{BE}=\frac{a}{h}[/tex]
[tex]\frac{CD}{AE}=\frac{a}{h}[/tex]
[tex]\frac{10}{20}=\frac{(36-h)}{h}[/tex]
10h = 20(36 - h)
10h = 720 - 20h
30h = 720
h = 24 cm
Therefore, height h = 24 cm is the answer.
Answer:
24
Step-by-step explanation:
I took the test
Rena has posters that measure 8 inches wide by 10 inches tall. If she uses a poster maker which creates similar posters, what is the area of the poster if the height of the poster is 35 inches?
Answer:
B . 980 just trust me
Step-by-step explanation:
You set up proportions
someone help ASAP!!!! Please it would mean so much if you helped me!
7.
What is the slope of the line that contains the points (-1, 2) and (3, 3)?
Please help it It is in photo
Answer:
its the second i hope that helped
Pls can someone help me
Answer:
x = (h-12y-2)/4
Step-by-step explanation:
Here, we want to make x the subject of the formula
We have this as:
h = 4x + 12y + 2
4x = h-12y-2
x = (h-12y-2)/4
7(n+4)= 21 what’s does n equal
Answer:
Step-by-step explanation:
here you go mate
step 1
7(n+4)= 21 equation/Question
step 2
7(n+4)= 21 simplify
7n+28=21
step 3
7n+28=21 subtract
7n=-7
step 4
[tex]\frac{7n}{7} =\frac{-7}{7}[/tex]Divide
answer
n=-1
Which typist is faster,
Glenda, typing 195 words in 3 minutes, or
Jorge, typing 236 words in 4 minutes?
How do you know?
please help <3
Answer:
Glenda is faster
Step-by-step explanation:
Glenda types 65 wpm (195/3), and Jorge types at 59 wpm (236/4)
Find the distance between 3,4 and 3,9
Answer:
The answer is 5.
Step-by-step explanation:
The distance formula is ↷
[tex] d\sqrt{(x_2 - x_1)^{2}+ (y_2 - y_1)^{2} } [/tex]
All we got to to do right now is plug in!
[tex] d = \sqrt{(x_2 - x_1)^{2}+ (y_2 - y_1)^{2} } \\ d = \sqrt{(3 - 3)^{2} + (9 - 4)^{2} } \\ d = \sqrt{(0)^{2} + (5)^{2} } \\ d = \sqrt{0 + 25} \\ d = \sqrt{25} \\ d = \sqrt{5} [/tex]
Therefore, the distance between 3,4 and 3,9 is 5.
You have 200 bottles of Medicine. 99% contain Medicine A; the rest, Medicine B. How many bottles of Medicine A do you need to use/empty to get Medicine A to 98%?
Answer:
I need to empty 2 bottles to get Medicine A to 98% of the total bottles
Step-by-step explanation:
The first step is to find out what 99% of 200 is. This will give us how many bottles of "Medicine A" are present.
99% of 200 is 198. This means that there are 198 bottles of Medicine A present.
The next step is to find out what 98% of 200 is. This will give us the number of bottles of "Medicine A " that will be left remaining.
98% of 200 is 196. There neede to be 196 bottles left after I have taken out and emptied a few bottles of Medicine A.
The last step is to subtract 196 from 198 bottles, to get the number of bottles that I need to empty.
This will be 198 - 196 = 2 bottles
I need to empty 2 bottles to get Medicine A to 98% of the total bottles
20 i think
Step-by-step explanation:
if it was 100 it would be 10. 100x2=200. thats how i got 20
On average, Shawnee drinks 1/2 of a 6 ounce glass of water in 2/3 hour. How much water does she drink in an hour?
Answer:
1/2 of 6 = (1/2)*6 = 0.5*6 = 3
Shawnte drinks 3 ounces of water in 2/3 hrs.
3 oz = 2/3 hr
3*(3 oz) = 3*(2/3 hr) .... multiply both sides by 3
9 oz = 2 hrs
She drinks 9 ounces of water in 2 hrs
9/2 oz = 2/2 hrs .... divide both sides by 2
4.5 oz = 1 hr
She drinks 4.5 ounces of water in 1 hour.
What is the multiplayer for a 3% increase?
Answer:
3% = 0.03
verified with calculator
What is the distance between the points R(5, 7) and S(-2, 3)?
Answer:
Step-by-step explanation:
D
The distance between points is √65.
What is distance?The length of the line that connects two points is the distance between them. The distance can be determined by subtracting the coordinates that are not the same if the two points are on the same horizontal or vertical line.
The distance formula is used in analytic geometry to determine the distance between two lines, the sum of the lengths of all sides of a polygon, the perimeter of polygons on a coordinate plane, the area of polygons, and a variety of other measurements.
Given coordinates
R(5, 7) and S(-2, 3)
to find the distance between
the formula of distance for coordinates is
d = [tex]\sqrt{(y_{2} - y_{1} )^{2} + (x_{2} - x_{1} )^{2} }[/tex]
here y₂ = 3, y₁ = 7
x₂ = -2, x₁ = 5
substitute value in equation we get
d = [tex]\sqrt{({3 - 7 )^{2} + (-2 - 5 )^{2} }[/tex]
d = [tex]\sqrt{({-4 )^{2} + (-7 )^{2} }[/tex]
d = √(16 + 49)
d = √65
Hence the distance is √65.
Learn more about distance;
https://brainly.com/question/15172156
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What is the value of x?
45°
m
1(2x - 5)°
n
Answer:
x = 70
Step-by-step explanation:
The 2 given angles are same- side interior angles and are supplementary, that is sum to 180° , then
45 + 2x - 5 = 180, that is
2x + 40 = 180 ( subtract 40 from both sides )
2x = 140 ( divide both sides by 2 )
x = 70
Help with number 2 please
Answer:
3 in a half miles
Step-by-step explanation:
to the nearest 50 square feet what is the area of the actual store?
What value is a discontinuity of x^2+2x+3/x^2-x-12
Answer:x=0
Step-by-step explanation: maybe.....
Hey guys please help me! Very appreciate it
Answer:
30.9
Step-by-step explanation:
.
Beth has had her car for a while and knows that it gets pretty good gas mileage On a recent business trip she used 16.25 gallons of gas and drove 471 miles. To the nearest tenth of a mile, what was her gas mileage? OA) 29 0 mpg OB) 30 0 mpg OC) 28.5 mpg OD) 270 mpg
Answer:
A) 29.0 mpg
you divide 471 by 16.25
What is the volume of the cuboid?
Answer:
180cm
Step-by-step explanation:
4cm*5cm*9cm=
Answer:
180
Step-by-step explanation:
Length=9cm
Height=5cm
Width=4cm
So,
9cm×5cm×4cm
=9cm×20cm
=180cm³
Shelby ordered a set of orange and blue pins. She received 92 pins, and 25% of them were orange. How many orange pins did Shelby receive
Answer:
23 orange pins did Shelby receive.
Step-by-step explanation:
25% = 0.25
92 × 0.25 = 23
Tammy's home cost her S184,000. She lives in an area with a lively real estate market, and her hormincreases in value by 3.5%
every year. If Tammy sels her home after thirteen years, how much profit wil she have made, to the nearest hundred dollars?
a s8,500
b.
C.
d
7,800
S83,700
S103,800
Please select the best answer from the choices provided
O
A
B
C
D
O
Save and Exit
Next
Submit
Answer D 103,800
Answer:
D. $103800Step-by-step explanation:
Initial value of house:
$184000Yearly increase rate of value:
3.5%Time
13 yearsSince the increase is concerning the current price it would be exponential growth.
The function would be:
V(t) = 184000*(1 + 3.5/100)^t, where V is the value after t yearsFor t= 13 we get:
V(13) = 184000*(1.035)^13 = 287800Profit made would be:
287800 - 184000 = 103800Correct option is D.
Answer:
Cost of Tammy's house =$184000
Rate of interest = 3.5% per annum
After 13years price will be
[tex]P(t) = 184000 {(1 + \frac{3.5}{100}) }^{t} \\ P(t) = 184000 {(1 + 0.035)}^{t} \\ P(13) = 18400 {(1.035)}^{13} \\ P(13) =\$ 287768[/tex]
Total profit= $(287767-184000)= $103768
D. $103800 is the right answer.For the following ordered pairs is the X value positive or negative?
(-2, 1)
(3, -4)
(-4, 6)
(1, -3)
What is the equation of the line perpendicular to the line y = 2x + 3 with a y-intercept of -6
Answer:
y = -¹/₂ x - 6Step-by-step explanation:
Two lines are perpendicular if the product of theirs slopes is equal -1:
y=m₁x+b₁ ⊥ y=m₂x+b₂ ⇒ m₁×m₂ = -1
y = 2x + 3 ⇒ m₁=2
2×m₂ = -1 ⇒ m₂ = -¹/₂
The y-intercept is b=-6 so the equation in slope-intercept form:
y = -¹/₂ x - 6
please help its algebra 1
Answer: She can take 25 students.
Step-by-step explanation:
If she has 150 dollars and the bus costs 100, and she only charges 2 dollars each, then 50 divided by 2 equals 25
Answer:
I think 25 students
Step-by-step explanation:
Her budget is $150 .She is already paying $100 for the bus so you have $50 dollars now.If each student is charged $2 all you have to do is divide $50 by 2 and that gets you 25.So 25 students.Hope this helped =)
The line plots shows the weights of 9 grapefruits. What is the difference in the total weight of all the 1 1/2 lb grapefruits and the total weight of all the 1 1/4 lb grapefruits? A 1/4lb B 2 lb C 4 1/2lb D 7 lb
Answer:
The difference of weight is [tex]2[/tex] pounds.
Step-by-step explanation:
Given: The line plots shows the weights of [tex]9[/tex] grapefruits
To find: The difference in the total weight of all the [tex]1\frac{1}{2} lb[/tex] grapefruits and the total weight of all the [tex]1 \frac{1}{4}lb[/tex] grapefruits.
Firstly, we need to convert the given mixed fractions as following:
[tex]1\frac{1}{2} lb=\frac{2+1}{2}=\frac{3}{2}lb[/tex]
[tex]1\frac{1}{4} lb=\frac{4+1}{4}=\frac{5}{4}lb[/tex]
Now, we know that,
Point diagrams divide a sample into different classes, and allow to observe the frequencies of each class.
In this case, the different weights of the grapefruit constitute the classes. From a sample of 10 grapefruit, some will weigh others weigh.
We need to observe the dot diagram to know how many grapefruit we have of weight [tex]\frac{3}{2} lb[/tex] and how many grapefruit we have of weight [tex]\frac{5}{4} lb[/tex]. In other words, we need to know, in the diagram, how many points there are about class of [tex]\frac{3}{2} lb[/tex] and how many points there are about class of [tex]\frac{5}{4} lb[/tex].
Then, the total difference between all grapefruit of pounds and all grapefruit of pounds is calculated as follows:
[tex]x (1\frac{1}{2} ) - y (1\frac{1}{4} ) = Z[/tex]
Where
[tex]Z[/tex]: Weight difference
[tex]x[/tex]: Quantity of [tex]1\frac{1}{2} lb[/tex] grapefruit
[tex]y[/tex]: Quantity of [tex]1\frac{1}{4}lb[/tex] grapefruit
Suppose that of the [tex]10[/tex] total grapefruits, [tex]3[/tex] of them weigh [tex]1\frac{1}{2} lb[/tex] and [tex]2[/tex] of them weigh [tex]1 \frac{1}{4}[/tex] pounds. This is: [tex]x=3[/tex] and [tex]y=2[/tex]
Now,
[tex]3(\frac{3}{2} )-2(\frac{5}{4} )[/tex]
[tex]=\frac{9}{2} -\frac{5}{2}[/tex]
[tex]=\frac{4}{2}[/tex]
[tex]=2[/tex]
Hence, for this case, the difference of weight is [tex]2[/tex] pounds.
I need help with this
Answer:
The order is from top to bottom just an FYI :)
First blank: 1
Second blank: 7
Third blank: 4
Step-by-step explanation:
I did the division, got the answer as 1.1, so the first blank is 1. The second blank should be 7 and the third blank should be 4 so that the numbers subtract to 0.
Solve for x, rounding to the nearest hundredth.
10^3x = 98
Answer:
see explanation
Step-by-step explanation:
10^3x=98
1000x=98
x=98/1000
x=49/500
x=0.98
if it is rounded to the nearest hundredth then x=0
Mr. Morgan purchases gas for $3.24 per gallon. After leaving the gas station
he travels 208 miles on 8 gallons of gas. If the car uses gas at a constant rate,
which best describes the number of miles traveled per gallon of gas?
Free coinssss!!!!!!
Answer:
I think the answer is...
26
Step-by-step explanation:
thank you for my free coins
Brainliest...I have to post a few of these cause I forgot to study for this assignment....
Answer:
-1
Step-by-step explanation:
you do 1/1 which is 1. because the line is negative, the answer is -1