Answers
Answer:
B. 196 units squared
Step-by-step explanation:
The formula of a prism is V = Bh
= (1/2 bh) h
=(1/2 x 7 x 14) x 4
= (3.5 x 14) x 4
=49 x 4
= 196 units squared
I haven't did these type of questions in a while, but i think my answer is correct. Hope it helps :)
Related Questions
Find the average value fave of the function f on the given interval. f() = 5 sec2(/6), 0, 3 2
Answers
Answer:
[tex]f_{ave}[/tex] = [tex]{\frac{10 }{3\pi }[/tex]
Step-by-step explanation:
To find - Find the average value fave of the function f on the given interval. f(x) = 5 sec²(x/6), [0, 3[tex]\pi[/tex]/2]
Proof -
We know that,
Average value of f in the interval [a, b] is -
[tex]f_{ave}[/tex] = [tex]\frac{1}{b - a}\int\limits^b_a {f(x)} \, dx[/tex]
Now,
Here a = 0, b = [tex]\frac{3\pi }{2}[/tex], f(x) = [tex]5sec^{2}(\frac{x}{6} )[/tex]
Now,
[tex]f_{ave}[/tex] = [tex]\frac{1}{\frac{3\pi }{2} - 0}\int\limits^{\frac{3\pi }{2} }_0 {5sec^2 ({\frac{x}{6} }) } \, dx[/tex]
= [tex]{\frac{2 }{3\pi }}\int\limits^{\frac{3\pi }{2} }_0 {5sec^2 ({\frac{x}{6} }) } \, dx[/tex]
= [tex]{\frac{10 }{3\pi }}\int\limits^{\frac{3\pi }{2} }_0 {sec^2 ({\frac{x}{6} }) } \, dx[/tex]
= [tex]{\frac{10 }{3\pi }}[\ {tan({\frac{x}{6} }) }|^{\frac{3\pi }{2} }_0 \, ][/tex]
= [tex]{\frac{10 }{3\pi }}[\ {tan({\frac{x}{6} }) - tan({0) } \, ][/tex]
= [tex]{\frac{10 }{3\pi }}[ {1 - 0 } ][/tex]
= [tex]{\frac{10 }{3\pi }[/tex]
⇒[tex]f_{ave}[/tex] = [tex]{\frac{10 }{3\pi }[/tex]
HELP ! How long is segment AB ?
Answers
Answer:
square root of (2+10)²+(-5+3)²
square root of 144+4
square root of 148
The diagram shows a cuboid of volume Vcm (cubed)?
(a) Show that V = 15 + 16x-x(squared) - 2x (cubed)
Answers
Answer:
see explanation
Step-by-step explanation:
The volume (V) of the cuboid is calculated as
V = (2x + 5)(3 - x)(x + 1)
= (3 - x)(2x + 5)(x + 1) ← expand the pair of factors using FOIL
= (3 - x)(2x² + 7x + 5)
= 3(2x² + 7x + 5) - x(2x² + 7x + 5) ← distribute parenthesis
= 6x² + 21x + 15 - 2x³ -7x² - 5x ← collect like terms and rearrange
= 15 + 16x - x² - 2x³
The volume of the cuboid is 15 + 16x - x² - 2x³
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
The volume (V) of the cuboid is calculated as
Volume of cuboid is length times width times height.
V = (2x + 5)(3 - x)(x + 1)
= (3 - x)(2x + 5)(x + 1)
Expand the pair of factors using FOIL
= (3 - x)(2x² + 7x + 5)
= 3(2x² + 7x + 5) - x(2x² + 7x + 5) ←
Distribute parenthesis
= 6x² + 21x + 15 - 2x³ -7x² - 5x
Combine like terms and rearrange
= 15 + 16x - x² - 2x³
Hence, the volume of the cuboid is 15 + 16x - x² - 2x³
To learn more on Three dimensional figure click:
https://brainly.com/question/2400003
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HELP ILL GIVE BRAINLIEST what’s the shape of the
Base?
Answers
Answer:
circle
Step-by-step explanation:
Alexa took a taxi from her house to the airport. The taxi company charged a pick-up fee of $4.20 plus $0.25 per mile. The total fare was $6.20, not including the tip. How many miles was the taxi ride?
Answers
Answer:
8
Step-by-step explanation: 6.20-4.20=2.00 2.00 divide by 25 for each mile = 8
What is the equation of the line that passes through the point (-6,7) and has a slope of -5? Write the equation in slope intercept form
Answers
Answer:
y = -5x - 23
Step-by-step explanation:
Write it in point - slope form:
y - 7 = -5(x + 6)
rearrange:
y - 7 = -5x - 30
y = -5x - 23
please help me. i'll give brainliest
Answers
The list that represents the simulation is (d) 8605 8378 5814 0101 2233 7198 6215 4903 4076 7964 9597 8078 4333 3033 3153
How to rearrange the list?The list is given as:
860583 785814 010122 337198 621549 034076 796495 978078 433330 333153
To illustrate the simulation of four free throws, then each number on the list must have 4 digits
So, we have:
8605 8378 5814 0101 2233 7198 6215 4903 4076 7964 9597 8078 4333 3033 3153
Hence, the list that represents the simulation of four free throws is (d)
Read more about random numbers at:
brainly.com/question/251701
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Mhanifa can you please help? Look at the picture attached. I will mark brainliest!
Answers
Answer:
Sum of exterior angles of a polygon is 360°#8
2x + 2(64°) + 36° + 48° = 360°2x + 212° = 360°2x = 360° - 212°2x = 148°x = 74°#9
x + 73° + 109° + 90° = 360°x + 272° = 360°x = 360° - 272°x = 88°Line segment JL is an altitude in triangle JKM. Triangle K J M is shown. Angle K J M is a right angle. An altitude is drawn from point J to point L on side K M to form a right angle. The length of K J is 13, the length of J L is 5, and the length of J M is 8. Which statement explains whether JKM is a right triangle? Round measures to the nearest tenth. JKM is a right triangle because KL + LM = 15.3. JKM is a right triangle because KL + LM = 18.2. JKM is not a right triangle because KL + LM ≠ 15.3. JKM is not a right triangle because KL + LM ≠ 18.2.
Answers
Answer:
JKM is not a right triangle because KL + LM ≠ 15.3.
Step-by-step explanation:
Given
[tex]JK = 13[/tex]
[tex]JL = 5[/tex]
[tex]JM = 8[/tex]
Required
Determine if JKM is right-angles or not
Calculate length KL using Pythagoras theorem.
[tex]JK^2 = JL^2 + KL^2[/tex]
[tex]13^2 = 5^2 + KL^2[/tex]
Collect like terms
[tex]KL^2 = 13^2 - 5^2[/tex]
[tex]KL^2 = 144[/tex]
[tex]KL = 12[/tex]
Calculate length LM using Pythagoras theorem.
[tex]JM^2 = JL^2 + LM^2[/tex]
[tex]8^2 = 5^2 + LM^2[/tex]
Collect like terms
[tex]LM^2 = 8^2 - 5^2[/tex]
[tex]LM^2 = 39[/tex]
[tex]LM = \sqrt{39[/tex]
[tex]LM = 6.2[/tex]
[tex]KM = KL + LM[/tex]
[tex]KM = 12 + 6.2[/tex]
[tex]KM = 18.2[/tex]
If JKM is right-angled, then:
[tex]KM^2 = JK^2 + JM^2[/tex]
[tex]KM^2 = 13^2 + 8^2[/tex]
[tex]KM^2 = 233[/tex]
[tex]KM = \sqrt{233[/tex]
[tex]KM = 15.3[/tex]
[tex]15.3 \ne 18.2[/tex]
i.e
[tex]KL + LM \ne 15.3[/tex]
Hence: JKM is not right-angled
Answer:
C-JKM is not a right triangle because KL + LM ≠ 15.3
Step-by-step explanation:
if right mark as brainliest
for brainiest:):):):):):):):):)
Answers
Answer:
H 5 ft L 18 ft
Step-by-step explanation:
hight is 5 feet high legnth is 18 feet wide
Grace earns $7 for each car she washes. She always saves $20 of her weekly earnings. This week, she wants to have at least $69 in spending money. How many cars must she wash? Enter and solve an inequality to represent this situation. Enter your value as a simplified mixed number, if necessary.
Answers
Answer:
She need to wash 9 cars
Step-by-step explanation:
Find the roots of f(x)=x^2 + 10x -96
Answers
explanation: i factored it
Gary is buying bananas at the grocery store. The bananas cost $0.89 per pound. What is the equation for the cost (y) of (x) pounds of bananas Gary buys?
a. y=0.89+x
b. y=0.89-x
c. y=0.89/x
d. y=(0.89)x
Answers
Answer:
d
Step-by-step explanation:
I will give brainly
Find the probability that a randomly
selected point within the circle falls
in the red shaded area (square).
r = 4 cm
4√2 cm
[? ]%
Answers
Answer:
Step-by-step explanation:
This probability will be the area of the square divided by the area of the circle.
[tex]P=\frac{(4\sqrt{2})^2}{\pi 4^2}\\ \\ P=\frac{32}{16\pi}\\ \\ P=\frac{2}{\pi }\\ \\ \text{As a percentage}\\ \\ P=\frac{200}{\pi}\\ \\ P\approx 63.7\% [/tex]
you get 75 point for answering 15 question you get 70 points for answering 14 questions is this fair
Answers
Answer:
NOPE
Step-by-step explanation:
Answer:Yes
Step-by-step explanation:
How many milligrams are in one-half a gram?
Answers
Ivan had 1,500 flyers printed to announce the opening of his new coffee shop. He paid $0.06 per flyer he's paying his friends $0.25 cents per flyer to deliver them. How much will Ivan pay to have all the flyers printed and delivery
Answers
So you have to multiply 0.36 by 1500 to get your answer
Answer is 540
Plz correct me if I’m wrong
Is n = 3 a solution to the inequality below?
n<4
yes or no?
Answers
Answer:
Yes
Step-by-step explanation:
Since 3 is less than 4, it would work in the inequality. It would look like this: 3 [tex]\leq[/tex] 4, which is true.
Some one plesae heelp!1
Answers
Option (b) 1.00
Step-by-step explanation:
3.4×1.00 = 3.4
Answer:
1.00
Step-by-step explanation:
1.00 equals one therefore the actual equation is 3.4x 1 = 3.4
Or 3.4x1.00=3.4
Hope this helps.
Find the missing sides of each triangle. Leave your answers in radical form
Answers
Answer:
youbhave give me more information.
Answer:
incomplete question
please write the whole question or diagram of the question
In ΔQRS, r = 6.9 inches, ∠Q=40° and ∠R=101°. Find the area of ΔQRS, to the nearest 10th of an square inch.
Answers
Answer:
9.8 in²
Step-by-step explanation:
If A, B and C are the angles of a triangle and a, b, c are the repective sides opposite the angles, then the area of the triangle is given as:
Area = (1/2)absin(C)
In ΔQRS, the area is:
Area = (1/2)rqsin(S)
∠S + ∠Q + ∠R = 180° (sum of angles in a triangle)
∠S + 40 + 101 = 180
∠S = 39°
Using sine rule to find q:
[tex]\frac{q}{sinQ} =\frac{r}{sinR} \\\\\frac{q}{sin40}=\frac{6.9}{sin101} \\\\q=\frac{6.9*sin40}{sin101} =4.52 \ inches\\\\Area\ of\ triangle \ QRS=\frac{1}{2}rqsin(S) =\frac{1}{2}*6.9*4.52*sin(39)=9.8\ in^2[/tex]
Identify a transformation of the function ƒ(x) = x^2 by observing the equation of the function g(x) = (x – 1)^2
Answers
Answer:
f(x) is translated 1 units left to give g(x)
Step-by-step explanation:
Given
[tex]f(x) = x^2[/tex]
[tex]g(x) = (x - 1)^2[/tex]
Required
How does f(x) transform to g(x)
[tex]f(x) = x^2[/tex]
When translated by b units left, it gives:
[tex]g(x) = f(x - b)[/tex]
In this case:
[tex]b = 1[/tex]
So:
[tex]g(x) = f(x - 1)[/tex]
If [tex]f(x) = x^2[/tex], then
[tex]f(x - 1) = (x - 1)^2[/tex]
Hence:
[tex]g(x) = (x - 1)^2[/tex]
This implies that; f(x) is translated 1 units left to give g(x)
math (not too hard answer asap) :)
Answers
Answer:
A and CStep-by-step explanation:
A. 134 is the mode, correct, repeated 5 timesB. 111 is appears 3 times, incorrect , this number is not part of data setC. There are more data values between 130 and 139, correct, there are 8 of themD. There are 20 data values, incorrect , there are 23PLS HELP 20 points
Triangle ABC is a right triangle with right angle B and altitude BD. If DC =54, AC=60, find AB (x) and BD (y)
Answers
Answer:
Hey Mate!
tis is ur answrr!
PLEASE HELP ME- In the diagram below,
Answers
Answer:
Step-by-step explanation:
Shawn erned 5 dallors an hour mowing lawns pluse 10 welkly allounce from his parents what minmin number of hours he needs to mow in order to have enuf money to buy 75 dallars par of basketball sheows
Answers
Answer:
13 hours
Step-by-step explanation:
Since Shawn mows lawns at a rate of 5 dollars an hour, if he mows for t hours, he earns 5t dollars. Also, he gets 10 dollars weekly allowance from his parents. Thus, the total amount he earns per week is thus 10 + 5t.
Since he needs to earn enough to buy 75 dollars pair of basketball shoes, the amount he earns must equal the price of the shoes. So,
10 + 5t = 75
We now solve for t to find the amount of hours if takes him to earn enough to buy the shoes.
So,
10 + 5t = 75
Subtracting 10 from both sides, we have
10 - 10 + 5t = 75 - 10
5t = 65
dividing both sides by 5, we have
t = 65/5
t = 13 hours
So, it takes Shawn 13 hours to earn enough to buy the shoes.
PLEASE PLEASE PLEASE HELP HELP ME ME!!!!
Answers
Answer:
The answer for question 3 is D, number 4 is C
What percent of 400 is 190?
Answers
Answer:
47.5
Step-by-step explanation:
Simplify
-3(y+4)+4y
Please ANSWER FAST!!!!!
Answers
Answer: y-12
Step-by-step explanation:
-3(y+4)+4y
first distribute teh -3 to the y and the 4, so you get -3y and -12. Then combine like terms. -3y-12+4y, add the -3y and 4y, you get y. So the answer is y-12.
Answer:
y = 12
Step-by-step explanation:
here's your solution
=> -3(y + 4) + 4y = 0
=> -3y -12 +4y = 0
=> y -12 = 0
=> y = 12
hope it helps
Simplify the rational expression. Find all numbers that must be excluded from the domain of the simplified rational expression.
I need the bottom part
Answers
Answer:
y ≠ 9, y ≠ 3
Step-by-step explanation:
y² -12y +27 = (y - 9) (y - 3)
Denominator ≠ 0
y ≠ 9 or y ≠ 3