Each vertical cross-section of the triangular prism shown below is an isosceles triangle.
What is the height, h, of the triangular prism?
Round your answer to the nearest tenth.
The height is
units.
Answers
Answer: The height is 3 units.
Step-by-step explanation:
By using the give figure we can form right angle out of the whole figure with a base of 4 and an hypotenuse of 5.
By using this information we can use the Pythagorean Formula to find the height
a^2 + b^2 =c^2 a= base, b = height and c will be the hypotenuse.
4^2 + b^2 = 5^2 Solve for B
16 + B^2 = 25
-16 -16
b^2 = 9
b = [tex]\sqrt{9}[/tex]
b = 3
The height, h, of the triangular prism is 3 units.
What is an isosceles triangle?Isosceles triangles are those triangles that have at least two sides of equal measure and two base angles are equal.
Given that, vertical cross-section of the triangular prism shown in the given figure is an isosceles triangle.
Here, equal sides of an isosceles triangle is 5 units and base of the isosceles triangle is 8 units.
By using Pythagoras theorem,
5²=h²+4²
25=h²+16
h²=9
h=3
Therefore, the height, h, of the triangular prism is 3 units.
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Related Questions
For 4 weeks in June, Cameron biked 3 1/4 miles each week and swam 2 1/2 miles each week. For 3 weeks in July, he biked 4 3/4 miles each week and swam 3 1/2 miles each week
Answers
Step-by-step explanation:
Given that,
For 4 weeks in June, Cameron biked 3 1/4 miles each week and swam 2 1/2 miles each week.
For 3 weeks in July, he biked 4 3/4 miles each week and swam 3 1/2 miles each week.
We need to find how much greater was the total distance Cameron bike and swim in July compared to the total distance he bike in swim in June.
In July, total distance is ,
[tex]4\dfrac{3}{4}\times 3+3\dfrac{1}{2}\times 3\\\\= \dfrac{19}{4}\times 3+\dfrac{7}{2}\times 3\\\\=24.75\ \text{miles}[/tex]
In June, total distance is :
[tex]=4\times 3\dfrac{1}{4}+4\times 2\dfrac{1}{2}\\\\=\dfrac{13}{4}\times 4+\dfrac{5}{2}\times 4\\\\=23\ \text{miles}[/tex]
Hence, in June total distance is 23 miles and in July total distance is 24.75 miles.
What time is it exactly 1,440,000 minutes after 10 pm
Answers
Answer:
The answer is 11 PM
Step-by-step explanation:
1,440,000 minutes is the same as 24,000 hours. Then, you add that to 10pm of that day and you get 11 pm. It is the same as multiplying 24 x 1000 hrs. it is like adding 1000 days to that since it is 24 hrs in one day. Hope this helped!!
Answer:
11:00 pm
Step-by-step explanation:
1,440,000 minutes, convert it into hours and you get 24,000 hours. Since 24 hours equal a day 24,000 is 1,000 days. Attach 10:00 pm since its exactly 1,000 days after and you get 11:00 pm.
What is cos theta when sin theta = sqrt 2/3
Answers
Answer:
Value of cosθ is ±√7/3 .
Step-by-step explanation:
According to the Question , value of :
[tex]\red{\implies sin\theta = \dfrac{\sqrt2}{3}} [/tex]
And , we know the identity of sine and cosine as ,
[tex]\boxed{\pink{\sf\implies sin^2\theta + cos^2\theta = 1} }[/tex]
Using , this identity we have ;
[tex]\implies sin^2\theta + cos^2\theta = 1 \\\\\implies \bigg( \dfrac{\sqrt2}{3}\bigg)^2 + cos^2\theta = 1 \\\\\implies \dfrac{2}{9} + cos^2\theta = 1 \\\\\implies cos^2\theta = 1 - \dfrac{2}{9} \\\\\implies cos^2\theta = \dfrac{9-2}{9} \\\\\implies cos\theta = \sqrt{\dfrac{7}{9}} \\\\\underline{\boxed{\blue{\bf \implies cos\theta = \pm \dfrac{\sqrt 7 }{3}}}}[/tex]
Now , here since θ is in 2nd quadrant and in 2nd quadrant cos is negative . Hence ,the value of cos will be :
[tex]\boxed{\orange{\bf \implies cos\theta =-\dfrac{\sqrt7}{3}}}[/tex]
Samantha plays on the softball team for her school she strikes out twice after nine times she is at bat if she struck out 14 times this season how many times has she got back
Answers
Answer:
she got back 63 times
Step-by-step explanation:
Here, we want to know the number of times she is at bat
from the question, we are made to know that she strikes out twice after 9 times
So striking out 14 times, the number of times she has got back will be ;
14/2 * 9 = 63 times
If 24% of 400 people watched the news, how many ppl watched?
Answers
Answer:
96 people
Step-by-step explanation:
24÷100 × 400=96
HELP PLEASE!!!!!!! ! ! !!
Answers
Brainliest if right
Answers
Answer:
the answer is B
Step-by-step explanation:
30% in simplest form
Answers
Answer:
I think it's 3/10
Step-by-step explanation:
The same price of every item in a store is 85% of it usual price. ( please explain your answer because I don’t understand how to solve this)
The usual price of a backpack is $30, what is its sale price?
Answers
85 percent of 30
30 * 0.85 = 25.50
30-25.50 = 4.50
Solution: after sale, it is $4.50
HELP ASAP EXPLAIN hellooo
Answers
2x2 + 3x - 5 = (2x + 5)(?)
please help whats the missing numbers
Answers
Answer:
(2x+5)(x-1)
Step-by-step explanation:
2x²+3x-5= 2x²+5x-2x-5=x(2x+5)-1(2x+5) = (2x+5)(x-1)
Does the relationship {(1,1), (2,1),(3,2), (4,3), (5,5), (6,8), (7,13)} represent a function?
Yes
Answers
Answer:
Yes.
Step-by-step explanation:
A function is a set of relations without repetitive domains.
From the given relation, there are no repetitive domains. Thus our relation here is a function.
Example of Function
{(1,1), (2,2), (3,3), (4,4), (5,5)}
Example of Non-Function
{(1,1), (1,2), (2,3), (3,4), (4,5)}
From this relation, there are two repetitive domains which are 1's. Thus not making the relation a function.
please simply the equation:- -p - 11 + 3
Answers
Answer:
11+p-3 or 3+p-11
Step-by-step explanation:
depending if the p is negative or positive
which one is greater 14.09 or 14.090
Answers
Answer: They are the same or equal to each other.
Step-by-step explanation:
Hope this helps.
Element X decays radioactively with a half life of 13 minutes. If there are 830 grams of Element X, how long, to the nearest tenth of a minute, would it take the element to decay to 20 grams?
Answers
Answer:
26.92 min
if I'm not wrong!
Annapurna suppliers sold construction materials at Rs. 497200 to Sagarmatha suppliers
making 10% profit and adding 13% VAT. Find the cost price of the Annapurna suppliers.
Sagarmatha suppliers spent Rs 10000 for transportation cost and made Rs. 30000 profit and
levied local tax Rs. 20000 and sold to constructor. Find the additional VAT applicable amount
and the final price with VAT
Answers
Step-by-step explanation:
annapurna suppliers to sagarmatha suppliers ,
SP = (100+10)%of 497200
=110/100 * 497200
SP = RS. 546920
VAT 1 = 13% OF 546920
= RS. 71099.6
SAGARMATHA SUPPLIERS TO CONSTRUCTOR,
CP=RS.546920
TC=RS.10000
PROFIT =RS. 30000
LT =RS. 20000
SP = RS. 60000
VAT=13%
VAT 2 = 13% OF 60000
= RS. 7800
final price with VAT = 7800+ 546920+71099.6
=RS. 625819.6
Final cost is 36463.6 and VAT end profit is 3646.36.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Given
Material cost = 497200
10% profit = [tex]\frac{10}{100}[/tex] × 497200
= 49720
13% VAT = [tex]\frac{13}{100}[/tex] × 49720
= 6463.6
Hence, Final cost = 6463.6 + 10000 + 20000
= 36463.6
VAT end profit = [tex]\frac{10}{100}[/tex] × 36463.6
= 3646.36
Hence, Final cost is 36463.6 and VAT end profit is 3646.36.
Find out more information about percentage here
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Haley and mia's dad said if they combined the money they've saved. He would double it.
Find equivalent expression
Answers
Answer:
I have no idea, I have been trying to figure it out
What is the slope of the line through (-5,10) and (1,24(
Answers
Answer:7/3
Step-by-step explanation:
i went on a website and got the answer
3 lines are shown. A line with points P, R, N intersects a line with points M, R, O at point R. A line extends from point R to point L between angle P R M.
Which angles form a linear pair?
AnglePRL and AngleLRM
AngleORP and AngleMRN
AngleMRN and AngleNRO
AngleLRP and AngleORP
Answers
Answer:
The answer is C
Step-by-step explanation:
This is right because that's what I did
From the options given, the angles that form a linear pair are: c. m∠MRN and m∠NRO
What is a Linear Pair?A linear pair is a set of two adjacent angles whose sum equals 180°.Linear pair are also angles that form a straight line when combined together.The 3 lines are shown in the image attached below.
In the diagram, there are two linear pairs that are formed, they are:
m∠MRN and m∠NROm∠PRO and m∠NROTherefore, from the options given, the angles that form a linear pair are: c. m∠MRN and m∠NRO
Learn more about linear pair on:
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Question: What is the slope of the equation: x + 2y = 6
Answers:
m= -1/2
m=3
m= 1/3
if you don't know please don't Guess :(
Answers
x+2y=6
2y=-x+6
y=-1/2x+6
y=mx+b
m is slope
N EED ANSWER NOW ON TIMER PLASERA
Answers
Answer:
17/190
Step-by-step explanation:
Its correct
Answer:
D
Step-by-step explanation:
1 x 17 = 17
10 x 18=180
so it's 17/180
What is a fraction equivalent to -6/1
Answers
Answer:
-18/3
Step-by-step explanation:
Multiply the denominator and numerator by the same whole number.
explanation:
After 12 years, a deposit of $10,000 into your college account has earned $6,000 in interest payments. What simple interest rate did the account earn
Answers
Answer:
5%
Step-by-step explanation:
I = PRT/100 where I = interest, P = initial deposit, R = the rate in %, T = number of years.
So substituting the given values:
6000 = 10000*R* 12/100
10000*12*R = 100*6000
R = 100*6000 / (10000 * 12)
R = 600000/120000
= 5%
Answer these questions please :)
1. 7.2 x 100 =
2. 468.8 ÷ 100 =
3. 0.12 x 1,000 =
4. 86.4 ÷ 100 =
5. 2.001 x 10 =
6. 1,200 ÷ 1,000 =
7. 3.41 x 100 =
8. 3.41 ÷ 10 =
9. 0.0031 x 100 =
10. 5.7 ÷ 100 =
11. 1.34 x 1,000 =
12. 10 x 0.57 =
13. 57 ÷ 100 =
14. 1.068 x 100 =
15. 168.1 ÷ 10 =
16. 0.0341 x 100 =
Answers
1. 7.2 x 100 = 720
2. 468.8 ÷ 100 = 4.688
3. 0.12 x 1,000 = 120
4. 86.4 ÷ 100 = 0.864
5. 2.001 x 10 = 20.01
6. 1,200 ÷ 1,000 = 1.2
7. 3.41 x 100 = 341
8. 3.41 ÷ 10 = 0.341
9. 0.0031 x 100 = 0.31
10. 5.7 ÷ 100 = 0.057
11. 1.34 x 1,000 = 1340
12. 10 x 0.57 = 5.7
13. 57 ÷ 100 = 0.57
14. 1.068 x 100 = 106.8
15. 168.1 ÷ 10 = 16.81
16. 0.0341 x 100 = 3.41
You buy 5 balloons and 3 banners for $14. Your friend buys 1 balloon and
1 banner for $4. How much does each item cost?
Answers
Answer:
4 DLLS
Step-by-step explanation:
What is the slope?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answers
Answer:
[tex]\displaystyle m=\frac{1}{2}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (0, 40)
Point (20, 50)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute [SF]: [tex]\displaystyle m=\frac{50-40}{20-0}[/tex]Subtract: [tex]\displaystyle m=\frac{10}{20}[/tex]Simplify: [tex]\displaystyle m=\frac{1}{2}[/tex]Compare 24 greater than, less than, or equal to 4.256.
Answers
Answer:
Greater than 4.256
Step-by-step explanation:
Because 24 is a whole number and so is the 4 in 4.256. So Because 24 is larger than 4 it is automatically greater than 4
Help me pleaseeeeeeeeeeeee
Answers
Answer:
i think the first one
Step-by-step explanation:
Answer:
A. 2x2y +7xy2
Step-by-step explanation:
please help me on this!!
Answers
Answer:
(a). Music and dance.
(b). Three students.
(c). Hong, Ryan, Lena and Mai
Step-by-step explanation:
a) Hong is not a member of i. music and Dance
b) 2 students which is Eric and Omar
c). Mai , Hong,Ryan and lena
The summer camps had a field trip from the campus to the fragrance house they traveled on average speed of 65 km in the first two hours after that they travel another average speed of 70 km is a distance between the campus and fragrance I was 364 km what was the total time for a field trip
Answers
Answer: 5.34 hours
Step-by-step explanation:
They traveled at an average speed of 65 km/h in the first 2 hours so the distance traveled was ;
= 65 * 2
= 130 km
The distance left was;
= 364 - 130
= 234 km
They travel at 70km per hour so time taken was;
= 234/70
= 3.34 hours
Total time = 2 + 3.34
= 5.34 hours