Answer:
9 ft
Step-by-step explanation:
its volume is equal to the area by height;
(2.5 x 3)h = 67.5
h = 9ft
Given:
Volume of triangular prism is 67.5 cubic feet
Height of triangular prism is 3 feet
Base width of triangular prism is 5 feet
Length of triangular prism is 't'
To find:
Value of 't'
Steps:
The formula for volume of triangular prism is,
volume of triangular prism = [tex]\frac{1}{2}[/tex] × Width × Height × Length
67.5 = [tex]\frac{1}{2}[/tex] × 5 × 3 × t
67.5 = [tex]\frac{1}{2}[/tex] × 15 × t
[tex]\frac{67.5}{15} = \frac{t}{2}[/tex]
[tex]4.5 = \frac{t}{2}[/tex]
[tex]4.5 * 2 = t[/tex]
[tex]9 = t[/tex]
[tex]t = 9[/tex]
Therefore the value of 't' is D) 9 feet
Happy to help :)
If you have any doubt or explanation feel free to ask
does anyone know this one
Answer:
x + 3y = 14
-4 + 3y = 14
+4 +4
3y = 18
y = 6
Subtract.
(2/9v)-(-1/3v+5/9)
Answer:
Use Desmos the calculator
Step-by-step explanation:
Rewrite and simplify. 64-3/4
Answer:
63 1/4
Step-by-step explanation:
Please help me!
[One Step Inequalities]
Answer:
x<12
Step-by-step explanation:
Hello There!
For this problem we want to isolate the variable using inverse operations
So to get rid of the -3 we add 3 but whatever we do to one side we have to do to the other so we add 3 to both sides
-3+3 cancels out
9+3=12
we're left with
x<12
A shark is swimming 28 feet below sea level. If the angle of depression from a boat on the water is 19 degress. What is the distance between the boat and the shark?
Answer:
81.3 feet
Step-by-step explanation:
A shark is swimming 28 feet below sea level. If the angle of depression from a boat on the water is 19 degrees What is the distance between the boat and the shark?
We solve the above question using Trigonometric function of Tangent
tan θ = Opposite/Adjacent
θ = Angle of depression = 19°
Distance between the boat and the shark = Adjacent = ? = x
Opposite = 28 feet
Hence:
tan 19 = 28/x
Cross Multiply
tan 19 × x = 28
x = 28/tan 19
x = 81.317904575 feet
Approximately = 81.3 feet
The distance between the boat and the shark is 81.3 feet
1. Write a story problem that includes both integers −8 and 12.
Answer: Pam has -8 dollars in her piggy bank she owns mark 12 dollars
Step-by-step explanation:
Alex and Bill share a 24-ounce box of cereal. By the end of the week, Alex has eaten 3 8 of the box, and Bill has eaten 1 4 of the box of cereal. How many ounces are left in the box?
Answer:
9 ounces.
Step-by-step explanation:
Answer:
12 ounces on the box
Step-by-step explanation:
l have tried
5 less than 3 times a number y. Please help.
Answer:
3y-5 would be your equation
Step-by-step explanation:
Answer:
H-u-H?!
Step-by-step explanation:
What Expression goes with the Phrase: "The Product of 4 and the
difference of 10 and b."
A. 4(b-10)
b. 4x10 -b
C. 4b- 10
d. 4(10-b)
Answer:
the correct answer is 4(10 -b)
4% of what number is 44?
Answer: its 1,100
Step-by-step explanation:
write (3a^3)^2 without exponents
Answer:
9 x a x a x a x a x a x a
Step-by-step explanation:
[tex](3a^{3})^{2} = 9a^{6} \\[/tex] Here, we use the law of indices. Everything inside the bracket has to be squared, so 3^2 = 9 and (a^3)^2 = a^6 We use the rule of when one power is within a bracket and one outside, we multiply the two powers together instead of adding.
3^2 can be simplified to 9 as this is simply 3 x 3, but a^6 (this is still a value with an exponent) cannot be simplified so we break this down into the notation of a x a x a x a x a x a
Therefore 9 x a x a x a x a x a x a is the answer.
I hope this helps you!! ^-^
The expansion of (3a³)² without exponents will be 9 x a x a x a x a x a x a.
What is expansion?Expanded form is the term used in mathematics to refer to the process of expanding a number to convey the value of every digit and place value.
When a mathematical object is increased by a multiplier that is bigger in actual values than one, an expansion follows.
In another word, if you solve a factor by opening the bracket then you will go to get on some expanded term called expansion.
In mathematics, all real-life problems can be converted into equations which are sometimes in form of factors and we need to expand them to create solutions.
Given the expression,
(3a³)²
By the law of indices
(3a³)² = 3²(a³)²
(3a³)² = 9a⁶
But we cannot write it in exponent form
So,
9a⁶ = 9 × a x a x a x a x a x a.
Hence "The expansion of (3a³)² without exponents will be 9 x a x a x a x a x a x a".
For more information about the expansion,
brainly.com/question/14447197
#SPJ2
A private club was reduced by 36 members in 4 weeks. Its size changed by the same number of members each week. What was the change in the club’s size each week?
Answer:
9 members per week
Step-by-step explanation:
If 36 people overall left over 4 weeks, you can do
36/4=9
John buys a bag containing 3 pounds of flour. He uses 12 ounces of the flour for a craft project. How much flour is left in the bag?
PLEASE ASAP
Answer:
36 ounces
Step-by-step explanation:
3 pounds is 48 ounces - 12 pounds used gives you 36 ounces which is 2 pounds and a quarter ( 2 1/4)
I need help with my math homework
A milky way candy bar has a height of 2.4 cm, a width of 3 cm, and is 6 cm long.
What is the volume of the candy bar?
Answer:
V=lbh=2.4×3×6=43.2cm^3
We are given a candy batband we are given its dimensions
height = 2.4cmwidth= 3cmlength= 6cmTO FINDWe need to find it's volume
Volume of a cuboid is given by l×b×h
SOLUTIONVolume = length × breadth × height
Volume = 2.4 × 3 ×6
Volume = 43.2 cm^3whats the permiter and area of this triangle will mark brainleist?
Answer:
permiter 68ft
area 204ft²
Step-by-step explanation:
25ft+26ft+17ft=68ft
1/2×17ft×24ft=204ft²
I hope it's help
What method could be used to prove the triangle congruent?
[tex]\huge{\underline{\underline{\boxed{\sf{\red{Answer࿐}}}}}}[/tex]
B) SASLexy and Lonnel applied to the same university. They looked up the average SAT score of students admitted to that university. Lexy’s SAT score was 30 points above the average score. Lonnel’s SAT score was 270 points below the average score. Which expression represents the difference in their scores?
❘-270 - 30❘
❘30 - 270❘
-❘30 - ❘270❘
-❘30❘ + ❘-270❘
9514 1404 393
Answer:
(a) ❘-270 - 30❘
Step-by-step explanation:
One score is -270 and the other is +30. The difference is either of ...
|30 -(-270)|
or
|-270 -30| . . . . . . matches choice A
Tina had 20 minutes to do a three-problem quiz.She spent 9 3/4 minutes on question A and 5 1/2 minutes on question B. How much time did she have left for question C
Answer:
3636363
Step-by-step explanation:
Evaluate the following expression when x = 3 and y = 4:
2x + y2 - 1
Answer:
21
Step-by-step explanation:
x = 3
y = 4
2x + y² - 1
2(3) + 4² - 1
2(3) + 16 - 1
6 + 16 - 1
22 - 1
21
heyy!! i need help!!
Answer:
X - 3 = 5
Step-by-step explanation:
X decreased by 3 means X-3.
If X - 3 is 5, then it can be written as X - 3 = 5
Answer: 8
Step-by-step explanation: 8 decreased (subtracted) by 3 is 5.
Martina runs 8 miles in 72 minutes.
How many minutes does she take per mile?
Answer:
9 minutes per mile
Step-by-step explanation:
72/8 = 9 min/mile
A small painting has an area of 400 cm2. The length is 4 more than 2 times the width. Find the dimensions of the painting. Solve by completing the square. Round answers to the nearest tenth of a centimeter.
PLEASE HELP! I WILL MARK AS BRAINLIEST!
400 = 8x * x
400 = 8x^2
400 / 8 = x^2
root/50 = x
7.1cm = x
what is the coefficient of -16y + 24
Answer: -16
Step-by-step explanation:
Find the slope using points ( 7,-3) and (11,-4)
Answer:
1/4
Step-by-step explanation:
Answer:
m = [tex]-\frac{1}{4}[/tex]
Step-by-step explanation:
Use the following equation:
slope (m) = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]
Let:
[tex](x_1 , y_1) = (11 , -4)\\(x_2 , y_2) = (7 , -3)\\[/tex]
Plug in the corresponding numbers into the corresponding variables:
slope (m) = [tex]\frac{-3 - (-4)}{7 - 11} = \frac{-3 + 4}{7 - 11} = \frac{1}{-4} = -\frac{1}{4}[/tex]
[tex]-\frac{1}{4}[/tex] is your answer.
~
SOMEONE HELP!!!!!!!!!!!!!!!
Answer:
Q= 5c
Step-by-step explanation:
Help really important
Answer: Its c
Step-by-step explanation:
Plz give brainliest
What would x equal( rounded to the nearest degree)
The radius of a circle is 4 centimeters. What is the area of a sector bounded by a 135 degrees arc
Answer
3π is the answer here is the steps I couldn't write it I'm busy so I just wanted to help I hope it helps
another question of the homework
Answer:
Jessica's trains travels at a faster speed
Step-by-step explanation:
From the question,
Using the graph,
The total distance distance traveled by Khalid after 2 hours is
d = 280 mi.
S = d/t....................... Equation 1
Where S = Khalid's speed, d = Khalid's distance, t = time.
S = 280/2
S = 140 mph.
From the euqation,
The total distance traveled by Jessica after 2 hours is
y = 150×2
y = 300 mi.
Also Using
S' = d'/t
Where S' = Jessica's speed, d' = Jessica's distance
S' = 300/2
S' = 150 mph.
From the above, Jessica's trains travels at a faster speed