Answers
Answer:
105 cm³
Step-by-step explanation:
Given:
Height of triangular base: 7 cmBase of triangular base: 5 cmHeight of triangular prism: 6 cmFormula:
[tex]\text{Area of triangular prism:} \ (\text{Area of triangle}) \times \text{Height of triangular prism}[/tex]
Substitute the given measures in the formula to determine the volume.
[tex]\implies\text{Area of triangular prism:} \ (\frac{1}{2} \times 5 \times 7) \times 6[/tex]
Simplify the expression as needed.
[tex]\implies\text{Area of triangular prism:} \ (17.5) \times 6[/tex]
[tex]\implies\boxed{\text{Area of triangular prism:} \ 105 \ \text{cm}^{3}}[/tex]
Answer:
105 cm³
Step-by-step explanation:
Given:
Height of triangular base: 7 cm
Base of triangular base: 5 cm
Height of triangular prism: 6 cm
Formula:
Substitute the given measures in the formula to determine the volume.
Simplify the expression as needed.
Related Questions
Gas mileage is the number of miles you can drive on a gallon of gasoline. A test of a new car results in 310 miles on 10 gallons of gas. How far could you drive on 70 gallons of gas? What is the car’s gas mileage?
Answers
Answer:
i) Gas mileage = 31 miles
ii) 2170 miles = 70 gallons
Step-by-step explanation (i):310 miles on 10 gallons of gas.
⇒ 310 miles = 10 gallons
⇒ 310/10 miles = 10/10 gallons
⇒ 31 miles = 1 gallon
Gas mileage = 31 miles
Step-by-step explanation (ii):⇒ 31 miles = 1 gallon
⇒ 31 x 70 miles = 1 x 70 gallon
⇒ 2170 miles = 70 gallons
the equation A = bh is used to calculate the area, A , of a parallelogram with base, b , and height, h . Calculate the area of a parallelogram with a base of 15 inches and a height of 9 inches
Answers
Answer:
135
Step-by-step explanation:
A = bh
A = 15 x 9
A = 135
Cindy invested $2,800. The function V(t) = 2,800(1.025)t models the value of Cindy’s investment after y months. The function S(t) = 10t models the amount of money that Cindy has saved in a safe at her house after t months. Which function C(t) models the combined value of the investment and money in the safe?
A. C(t) =2,800(1.025)t + 10t
B. C(t) = 2,800(1.025)11t
C. C(t) =(2,800 + 10t)(1.025)t
D. C(t) =2,810(1.025)t
Answers
Answer:
Option AStep-by-step explanation:
The amounts invested and saved are independent and their total is the combined amount.
[tex]C(t) = V(t) + S(t)[/tex][tex]C(t) = 2,800(1.025)^t + 10t[/tex]Correct choice is A
Lets see
V(t)=2800(1.025)^tS(t)=10tAdd both
C(t)=S(t)+V(t)C(t)=2800(1.025)^t+10tGreen had d dollars. He spent $821 on a new TV. Now he has $121 left. How much money did he have before he bought a TV?
Answers
Please check if I’m right or not!
Answers
Answer:
1, 3, and 4 are CORRECT
2 is wrong.
Step-by-step explanation:
In #2
-9(x + 4) Multiply by using distributive property. The -9 must be multiplied to both the terms in the parenthesis.
so you should get:
-9x - 36
What is the measure of the unknown angle?
A 64°
B 76°
C 83°
D 87°
Answers
Answer:
D, 87 is the answer
Step-by-step explanation:
360 is a full circle so subtract 360 to 273 and its 87 hope this helps! :)
Answer:
d
Step-by-step explanation:
LOTS OF BRAINLY POINTS HELP ASAP PLS TYSM
you are flipping a coin and you flip tails 3 out of 10 times you flipped the coin. what is the experimental probability that you flip a tails. express your answer as a simplified fraction.
Answers
Answer:
3/10
Step-by-step explanation:
So, you already have the experimental probability. The theoretical probability is 5/10, but that's not what you're lookig for.
please answer this inequality question
Answers
- solid
- no
- no
- y =x-3
Thrice a number subtracted from 10?
Answers
Answer:
10-3x
Step-by-step explanation:
let the number=x
thrice the number becomes 3x
Two customers took out car loans from a bank. marcus took out a 5-year loan for $10,000 and paid 4.7% annual simple interest. gianna took out a 6-year loan for $10,000 and paid 4.5% annual simple interest. what is the difference between the amounts of interest marcus and gianna paid for their car loans? question 2 options: $500 $400 $450 $350
Answers
Andrea went strawberry picking. She picked 245 strawberries. Julio went with her and picked
x fewer than she did. Write an expression that shows the number of strawberries that Julio
picked?
Answers
Answer:
245-x
Step-by-step explanation:
Since x is the anount fewer than the mount Andrea picked, to get Julio's amount you would subtract x from 245.
5. Cole worked for a concrete company last weekend. On Saturday, his gross income was $350
and his net income was $307.05. On Sunday, his gross income was $280 and his net income
was $246.35. What amount did Cole pay in payroll tax last weekend?
Answers
How do you find the arc length of the partial circle?
Answers
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
As we know :
Length of arc = Radius × Angle made by Arc at center [ in radians ]
[tex]\qquad \tt \dashrightarrow \: arc = radius \times angle \: \: ( in \: \: rad)[/tex]
[tex]\qquad \tt \dashrightarrow \: arc = 4 \times \dfrac{3 \pi}{2} [/tex]
[tex]\qquad \tt \dashrightarrow \: arc = 6\pi \dfrac{ }{} \: \: units[/tex]
or
[tex]\qquad \tt \dashrightarrow \: arc = 6\times 3.14 = 18.84 \: \: units\dfrac{ }{} \: \: [/tex]
So
Arc length
L=r[tex]\theta[/tex]L=4(3π/2)L=2(3π)L=6πL=18.8units33.
The number of people who voted for the Green Party in an election was 1500.
The number of people who voted for the Blue Party was 9000.
Write the ratio of Green Party voters to Blue Party voters in the form 1:n
Answers
Answer:
1:6
Step-by-step explanation:
=> 1500/9000
=> 1/6 [ the hcf is 1500]
=> 1:6
{3x+y=2
{6x +2y=4
i think it’s system of equations
Answers
Answer:
Infinitely many solutions.
Step-by-step explanation:
[tex]3x+y=2[/tex]
[tex]6x+2y=4[/tex]
[tex]6x+2(2-3x)=4[/tex]
[tex]6x+4-6x=4[/tex]
[tex]6x-6x=4-4[/tex]
[tex]0=0[/tex]
Since the two equations are the same, the system of equations has infinitely many solutions.
F(X)=2(X-1)^2-4 in standard form
Answers
Answer:
[tex]f(x)=2x^2-4x-2[/tex]
Step-by-step explanation:
Standard form of a quadratic equation: [tex]y=ax^2+bx+c[/tex]
[tex]\begin{aligned}f(x) & =2(x-1)^2-4\\& =2(x^2-2x+1)-4\\& = 2x^2-4x+2-4\\& = 2x^2-4x-2 \end{aligned}[/tex]
The sum of the roots of x² + 6x - 55 = 0 is:
A. 6
B. -6
C. -55
Answers
Answer:
B
Step-by-step explanation:
the sum of the roots = - [tex]\frac{b}{a}[/tex]
x² + 6x - 55 = 0
with a = 1 , b = 6 , then
sum of roots = - [tex]\frac{6}{1}[/tex] = - 6
A fundraising company sells 219 tickets to an event. Each ticket costs $27. How much money
does the company make on ticket sales in all?
Answers
Answer:
=$5,913
Step-by-step explanation:
219 times 27
= 5913
4. A plumber charges $65 per hour to fix a leak. What is an equation that relates the total cost of a leak repair c to the number of hours, h, it takes the
plumber to fix the leak? Show work
Answers
Answer:
c = 65h.
Step-by-step explanation:
cost = rate per hour * hours worked:
c = 65 * h .
Find the surface area of this figure.
Answers
Answer:
57 inches^2 is the answer buddy
Step-by-step explanation:
BxH divided by 2
which of the following groups of angles can be trisected using only a compass and straightedge
Answers
Answer:
C. ALL ANGLES GREATER THAN 180
Pythagorean theorem. Show your work!
Please help in really stuck!!
Answers
Answer:
[tex]\sqrt{81}[/tex] = 9 :)
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
Pythagorean theorem is a^2 + b^2 = c^2.
In this case, a = 12, c = 15, and we do not know the value of "b."
Let's solve by plugging the values in!
12^2 + b^2 = 15^2
144 + b^2 = 225
Subtract 144 on both sides:
b^2 = 81
b = sqrt 81
b = 9
what is this it hard
Answers
Answer:
supply and demand
Step-by-step explanation:
I need HELPPPPplsssssssssss
Answers
Answer:
I have attached a picture of the completed graph.
The equation is k = r + 7
Kyle will be 59 when Ryan is 52.
Explanation:
Kyle's age is always seven years higher than Ryan's age.
Therefore, k (Kyle's age) = r (Ryan's age) + 7 (Number of years different)
Snow Crest is 11,920.21 feet higher than Mt. Wilson. Write and solve an equation to find the elevation of Mt. Wilson. Let x represent the elevation of Mt. Wilson. can you please help me?
Thank you
Answers
Answer:
685
Step-by-step explanation:
so if you have $86 and if that cost up to $1 and that would equals 685
is zero a rational number? can you write it the form of p/q where p and q are integers and q≠0
Answers
Answer:
yes, we can write zero in the form of p/q.
[example] that is 0/3, 0/5...
Please answer number 14. It would mean so much to me.
Answers
Answer:
100.1 ftStep-by-step explanation:
You have dimensions of the original and scaled figures.
The missing dimension can be found using proportions as below
52.8 in ⇒ 57.2 ft (width)92.4 in ⇒ x ft (height)52.8/57.2 = 92.4/xx = 92.4*57.2/52.8x = 100.1 ftKalvin's sister Kate finds yet another way for him to pick his
breakfast. She places one blue marble and one red marble in each
of two bags. She says that each morning he can choose one marble
from each bag. If the marbles are the same color, he eats Cocoa Blast.
If not, he eats Health Nut Flakes. Explain how selecting one marble
from each of the two bags and tossing two coins are similar.
Answers
Answer:
The probability of each is 50-50.
Step-by-step explanation:
With the marbles, there are four different outcomes: red-blue, blue-red, red-red, and blue-blue. Because one outcome is for same colors and the other is different colors, the probability of either is 2/4, or 1/2, or 50%. This is the same as tossing a coin. Hope this helps!
Find the area of each figure.
20 points
Answers
Answer:
purple shape= 1824 inches squared
For the green rhombus:
Answer: 3 ft^2
Explanation:
you can add a line HA to split the rhombus into two triangles
Area of each triangle
= (2 x 1.5) / 2
= 1.5 ft^2
As there are two triangles, so you can just add 1.5 and 1.5 ft^2 together, and the ans is 3 ft^2
a sector of a circle has a central angle measure of 60°, and an area of 14 sq inches, what is the area of the entire circle
Answers
Answer:
area of entire circle = 84 in²
Explanation:
[tex]\sf \dfrac{\theta}{360} *\pi *r^2 = Area \ of \ sector[/tex]
===========
[tex]\sf \rightarrow \dfrac{60}{360} *\pi *r^2 = 14[/tex]
[tex]\sf \rightarrow \dfrac{1}{6}\pi *r^2 = 14[/tex]
[tex]\sf \rightarrow r^2 = \dfrac{14*6}{ \pi}[/tex]
[tex]\sf \rightarrow r = \sqrt{\dfrac{84}{ \pi} }[/tex]
[tex]\sf \rightarrow r = 5.17\ in[/tex]
Area of circle:
[tex]\sf \pi r^2[/tex]
=====
[tex]\hookrightarrow \sf \pi (5.17)^2[/tex]
[tex]\hookrightarrow \sf 84\ in^2[/tex]
