Given:
The given volume formulas to calculate the volume of a rectangular
pyramid.
To find:
The correct volume formula.
Solution:
The volume of a rectangular pyramid is:
[tex]V=\dfrac{1}{3}Bh[/tex]
Where, B is the base area of the rectangular pyramid and h is the vertical height of the rectangular pyramid.
Therefore, the correct volume of a rectangular pyramid is [tex]V=\dfrac{1}{3}Bh[/tex].
Note: In the given problem, the options are not in correct form.
Type the correct answer in each box. Use numerals instead of words.
This graph represents a quadratic function. What is the function’s equation written in factored form and in vertex form?
Answer:
f(x) = 2x(x - 8)
f(x) = 2(x - 2)² - 8
Step-by-step explanation:
Let the equation of the quadratic function is,
f(x) = a(x - h)² + k
Here, (h, k) is the vertex of the function.
From the graph attached,
Vertex of the parabola → (2, -8)
Therefore, equation of the function will be,
f(x) = a(x - 2)² - 8
Since, the graph passes through origin (0, 0),
f(0) = a(0 - 2)² - 8
0 = 4a - 8
a = 2
Equation of the given parabola will be,
f(x) = 2(x - 2)² - 8
= 2(x² - 4x + 4) - 8
= 2x² - 8x + 8 - 8
= 2x² - 8x
= 2x(x - 8)
Therefore, factored form of the function will be,
f(x) = 2x(x - 8)
Obtuse can have right angles.
True or False
False. Obtuse is always greater than 90°.
Answer:
False
Obtuse triangles can't have right angles
The quadrilateral shown is a rectangle. What is measure zvw
Answer:
measure of zvm is 119°
Step-by-step explanation:
xvw+zvw=180°{straight angle}zvm=180-61=119°stay safe healthy and happy.solve for x. enter you answer below as a fraction
Answer:
x=9/80
Step-by-step explanation:
Answer:
9/80
Step-by-step explanation:
[tex]1)\ x + \frac{9}{20} = \frac{9}{16}[/tex]
[tex]2)\ x = \frac{9}{16} - \frac{9}{20}[/tex]
[tex]3)\ x = \frac{9}{16} - \frac{9}{20}[/tex]
[tex]4)\ x = \frac{45}{80} - \frac{36}{80}[/tex]
[tex]5)\ x = \frac{9}{80}[/tex]
Help meeeeeeeeeeeeee
Answer:
36.87( round if needed(
Step-by-step explanation:
we know a side adjacent to the angle and opposite of the angle so we apply tangent function
[tex] \tan(x) = \frac{3}{4} [/tex]
[tex] \tan {}^{ - 1} ( \frac{3}{4} ) = 36.87[/tex]
Round if neededd
Solve equation
0=-2x+4
Answer:
x=2
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
➜-2x+4=0
➜-2x=-4
➜2x=4
➜x=4/2
➜x=2
beau completed 2/5 of his science project on Friday and 1/3of the project on Saturday what fractional part of his project did she complete during these two days
Answer:
beau completed 2/5 of his science project on Friday
beau completed 1/3 of his science project on Friday
Now
he completed during these two days=1/3+2/5=11/15 part of his project
Find the solution of the system of equations.
-2x-6y=8
-6x-6y=0
What is the volume of the cylinder below? 9- 7 - 5 OA. 1757 units3 B. 2257 units3 C. 357 units3 D. 70n units3
Answer:
175 pi ^3
Step-by-step explanation:
The volume of the cylinder is 175π cubic units or 175π units³ if the radius of the base r is 5 units and the height of the cylinder h is 7 units option (A) 175π units³ is correct.
What is a cylinder?In geometry, it is defined as the three-dimensional shape having two circular shapes at a distance called the height of the cylinder.
We know the volume of the cylinder is given by:
[tex]\rm V = \pi r^2 h[/tex]
Volume can be defined as a three-dimensional space enclosed by an object or thing.
As we know,
We can find the volume of the cylinder by using the given formula:
[tex]\rm V = \pi r^2 h[/tex]
The radius of the base r = 5 units
The height of the cylinder h = 7 units
[tex]\rm V = \pi (5)^2 (7)[/tex]
V = 25x7π
V = 175π cubic units
Or
V = 175π units³
Thus, the volume of the cylinder is 175π cubic units or 175π units³ if the radius of the base r is 5 units and the height of the cylinder h is 7 units option (A) 175π units³ is correct.
Learn more about the cylinder here:
brainly.com/question/3216899
#SPJ5
SOMEONE PLEASEEEE HELPPPP
[tex]adjacnt {}^{2} = opposite {}^{2} + hypotenuse {}^{2} \\ adjacent {}^{2} = 8 {}^{2} + 12 {}^{2} \\ adj {}^{2} = 64 + 144 \\ adj {}^{2} = 208 \\ adjacent = \sqrt{208} \\ adjacent = 4 \sqrt{13} [/tex]
Seven students each picked 88 flowers. How many flowers did they pick altogether?
Answer:
7(88)=616
Step-by-step explanation:
The perimeter of a rectangle is 48cm. its length is 4 cm. what is its width?
Answer:
P = 48
4 + 4(two given lengths) = 8
48(perimeter) - 8(length of two given lengths) = 40(length of two unknown sides)
40(length of two unknown lengths) divided by 2(two missing sides) = 20 cm
Type SSS, SAS, ASA, SAA, or HL
to justify why the two smaller triangles are
congruent.
Answer:
Step-by-step explanation:
SSS po (side-side-side)
The equation for the speed/distance of a tornado is
s = 93 log(d) + 65.
If the speed is 310 mph, what is the distance?
Answer:
430.93 miles (rounding to the nearest hundredth)
Step-by-step explanation:
s = 93 log(d) + 65
310 = 93 log(d) + 65
245 = 93 log(d)
2.634408602 = log(d)
10^2.634408602 = 10^log(d)
430.9318583 = d
Therefore, if the speed of the tornado is 310 mph, then its distance is about 430.93 miles.
Jordan scored 19 points during a basketball game. She made a total of 9 baskets.
If Jordan made only one-point free throws and three-point baskets, how many of each did she make?
A
1 one-point basket; 6 three-point baskets
B
4 one-point baskets; 5 three-point baskets
C
5 one-point baskets; 4 three-point baskets
D
6 one-point baskets; 3 three-point baskets
Answer:
B) 4 one-point baskets: 5 three-point baskets
Step-by-step explanation:
(4 x 1) + (5 x 3) = 19
Answer:
B
Step-by-step explanation:
5x3=15
4x1=4
15+4=19
PLUS a total of 9 baskets.
Therefore, your answer is B
The histogram shows the weights, in pounds, of checked luggage on a flight.
A graph shows weight of a bag (pounds) labeled 12 to 64 on the horizontal axis and number of bags on the vertical axis. 1 bag weighs 12 to 16 pounds. 4 bags weigh 16 to 20 pounds. 5 bags weigh 20 to 24 pounds. 6 bags weigh 24 to 28 pounds. 5 bags weigh 28 to 32 pounds. 4 bags weigh 32 to 36 pounds. 3 bags weigh 36 to 40 pounds. 1 bag weighs 40 to 44 pounds. 0 bags weigh 44 to 48 pounds. 1 bag weighs 48 to 52 pounds. 1 bag weighs 52 to 56 pounds. 1 bag weighs 56 to 60 pounds. 0 bags weigh 60 to 64 pounds.
The median weight of a checked bag is 27.5 pounds. How does the mean of the data most likely compare to the median?
The mean is most likely less than 27 pounds.
The mean is most likely exactly 27.5 pounds.
The mean is most likely about 28 pounds.
The mean is most likely more than 28 pounds.
Answer:
C, the mean is most likely about 28 lbs.
Step-by-step explanation:
The histogram shows the weights, in pounds, of checked luggage on a flight. The median weight of a checked bag is 27.5 pounds.
thats the answer because you are rounding 27.5
Hope this is helpful! :)
Have a nice day!
Answer:
c give the other person branlist
Step-by-step explanation:
math question 30 points if you answer
Answer:
Step-by-step explanation:
h(t) = - 16t² + 22t + 6
h = 13.5625 ft
I need help with this math problem please!
thanks for the help guys
Answer:
Um.... Your welcome(confuse face), but also I see you got a bad grade. I wish I could've help you at least you would've gotten one answer right.
Step-by-step explanation:
What are 3 ways you could use arts and music outside school
Solve the system using
the elimination method.
(3x + 4y = 6
<
(2x + 3y = 3
Answer:
[tex]3x + 4y = 6 - - - (a) \\ 2x + 3y = 3 - - - (b) \\ 2 \times (a) - 3 \times (b) : \\ = > 0x - y = 3 \\ y = - 3 \\ 2x - 9 = 3 \\ 2x = 12 \\ x = 6 \\ { \boxed{x = 6}} \\ { \boxed{y = - 3}}[/tex]
what value of x makes this equation true? 3x - 20 = -2x
Answer:
x = 4
Step-by-step explanation:
3x - 20 = -2x
Add 2x to both sides.
5x - 20 = 0
Add 20 to both sides.
5x = 20
Divide both sides by 5.
x = 4
Answer:
X = 4
Step-by-step explanation:
A cube has side length of 1 meter. Determine the volume of the cube. Include all of your calculations in your final answer.
Answer:
look at the picture i sent......
Solve by using substitution.
=3−8
=−4
Answer:
I'm going to assume that you meant y=3x-8 and y=-4
This means that you would substitute -4 into the spot of y which gives you -4=3x-8. Once solved you would receive x=4/3.
Hope I helped have a nice day :)
Find the area of the regular nonagon
Answer:
267.3
Step-by-step explanation:
area of a regular polygon =
(perimeter * apothem)/2
perimeter: 9 * 6.6 = 59.4
area: 59.4 * 9 = 534.6
534.6/2 = 267.3
area = 267.3
14 In a book, 98% of the pages contain text, diagrams on both. If 88% of the pages
contain text and 32% contain diagrams, what percentage contain
a.neither text nor diagrams
b. only diagrams
c.only text
d.both text and diagrams?
Answer:
2%
10%
66%
22%
Step-by-step explanation:
For the first one we just need to find the compliment of the union (.98) which is .02
Union formula:
A∪B=A+B-A∩B
We will let T= text and D= diagram
we know that
.98=.88+.32-T∩D
Solve and find that T∩D= .22
Only diagram: .32-.22= .1
Only text: .88-.22= .66
Text and diagrams is the intersection we found earlier or .22
for the bud to see... and one person to get poi.nts XD
so addison got banned yesterday but got her account back today and then drake got banned today
Answer:
WHAT!? THEY BOTH GOT BANNED?! HOW
A trader made a profit of 24% by selling an article for #372 how much should he have sold it to make a profit of 48%
Answer: #444
Step-by-step explanation:
First find the original selling price of the article.
When sold for #372 the profit was 24%. Assume the original price is x.
372 = x + 24% * x
372 = 1.24x
x = 372 / 1.24
= #300
If he wanted to make a profit of 48% he should have sold for:
= Original price + (original price * 48%)
= 300 + (300 * 48%)
= #444
slove the system of substitution
y=x-8
y=2x-4
Answer:
x + y = 4 , x − y = 2
x + 2 y = 4 , x − y = − 3
x 2 − y = 2 , 2 x − y = − 1
Step-by-step explanation:
Answer:
x=-4
Step-by-step explanation:
x-8=2x-4
+8 +8
---------------
x=2x+4
-2 -2
-----------
-x=4
-1 -1
----------
x=-4
Percentage problems with mixed number
1. What is 15 12 % of 600?
2. Find 33 1/3 % of $1200
3. Calculate 12 1/2% of 160
4. Tim paid 5 14 % interest on $1600 he
borrowed. How much did he pay in
total?
Answer:
1. 93
2.400
3. 20
4. $1684
Step-by-step explanation:
Start by a etting up an equality.
0.155/100 = x/600
Then cross multiply.
(0.155) × (600) ÷ 100 = 93