Write and solve an equation to find the missing dimension of the prism.
Volume = 1620 cm³
width = 9 cm
length = 9 cm
Equation =
Height =
____________________Solution :-Given Information :-Width of the prism ➢ 9 cmLength of the prism ➢ 9 cmVolume of the prism ➢ 1620 cm³To Find :-Equation used Height ( in cm ) of prismFormula Used :-Volume of prism = Length × Width × HeightFor calculating the height, the formula is,
[tex] \boxed{\sf height = \frac{volume}{length \times width}} [/tex]Calculation :-Substituting the values given above in the formula, We get,
⇒ [tex] \sf height = \frac{1620}{9 \times 9} [/tex]
⇒ [tex] \sf height = \frac{1620}{81} [/tex]
⇒ [tex] \sf height = 20 \:cm [/tex]
___________________Final Answers :-The equation to calculate height [tex] \sf height = \frac{volume}{length \times width} [/tex][tex] \sf height\: of\: the \:prism \:= 20 \:cm [/tex]____________________The height of the prism is 20 cm.
What is Volume?Volume is a mathematical term used to describe how much three-dimensional space an item or closed surface occupies.
Volume is sometimes referred to as capacity.
We have,
Volume = 1620 cm³
length= 9 bm
width= 9 cm
So, Volume of cuboid = l w h
1620 = 9 x 9 x h
1620 = 81 x h
h = 1620 /81
h= 20 cm
Thus, the height is 20 cm.
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Maximo types 180 words in two minutes. How many words does he type in 7 minutes?
Answer:
630 just divide 180 by 2, you'll get 90 the multiply it by 7
Answer:
630
Step-by-step explanation:
90 words in one minute
90 x 7 = 630 words in 7 minutes
The scale factor is ______.
Question 4 options:
250686
2549
57
125343
Step-by-step explanation:
sjjJNznnNznznmzmznmzmzmznmx
Answer:
57 i think
Step-by-step explanation:
I believe that it will be 57 since there isn't a big of a difference to make up for thousands
Find the perimeter of the figure below.
Answer:
6+2+2=10 For perimeter you need to add all sides
Answer:
15.4 mm
Step-by-step explanation:
for semi circle is = (3.14× d )/2
for square = L + L + L +L
d = 6mm
L = 2mm
so
( 3.14 × 6)/2
+
2 × 3mm .. three sides only
= 15.4 mm
what is the area of the shaded part of the figure (in square units)?
Answer:
27 sq units
Step-by-step explanation:
i gathered the area of both triangles and the area of the rectangle and subtracted them from each total
PLEASE HELP ON MY LAST GEOMETRY PROBLEM!!
Answer:
area of circle having radius 3
is πr²=π*3²=9π square units
area of circle having radius 2
=πr²=π×2²=4π square units
again
area of big circle having radius [3+2]=5 units
=πr²=π×5²=25π square units
Now
area of shaded region=25π-4π-9π=12π or 37.7square units.
Answer:
12π units² or 37.7 units²
Step-by-step explanation:
Find the area of the 3 circles and subtract the areas of the two smallest ones.
Biggest circle area: π((3(2)+2(2))/2)² = π((6+4)/2)² = π(5²) = 25π units²
2nd Biggest circle area: π(3)² = 9π units²
Smallest circle area: π(2)² = 4π units²
Shaded area: 25π - (9π + 4π) = 25π - 13π = 12π units² or 37.7 units²
What is the value of x?
Answer:
-1
Step-by-step explanation:
to be honest im not sure if its right or not but if u look at the question there are 5 x making it -5 and 6 1's
If u=0, make t the subject of the following equation: s=ut+1/2at^2 Please look at image.
Answer:
[tex]t=\sqrt{\dfrac{2s}{a}}[/tex]
Step-by-step explanation:
The given equation is :
[tex]s=ut+\dfrac{1}{2}at^2[/tex]
Where
s is displacement
u is the initial velocity
a is acceleration
t is time
If u = 0, the above equation become,
[tex]s=\dfrac{1}{2}at^2\\\\t^2=\dfrac{2s}{a}\\\\t=\sqrt{\dfrac{2s}{a}}[/tex]
Hence, the value of t is equal to [tex]\sqrt{\dfrac{2s}{a}}[/tex].
Can someone help me out my grads are bad
Answer:
about 20
Step-by-step explanation:
200 + 200 = 400 so basically 9 x 2 (18) so estimating about 20
A submarine travels 1.2 km due North from its base and then turns and travels due West for 5.8 km. How far away is the submarine from its base? Give your answer rounded to 1 DP.
Answer:
5.9km
Step-by-step explanation:
this would b solved using Pythagoras theorem
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
1.2² + 5.8² = c²
1.44 + 33.64 = c²
35.08 = c²
c = 5.9 km
Traveling from Atlanta, Georgia to Orlando, Florida is about 550 miles. Jen traveled 338 miles yesterday and the rest today. Which equation expresses how many miles she drove today?
Answer:
x + 338 = 550
Step-by-step explanation:
Please help with this math problem I’d really appreciate it
Answer:
J
Step-by-step explanation:
first add all the types of drinks together then put how many grape Gatorade there is on top of the number which you'll get 10/25 or 10 over 25 then divide it by five over five 5/5 and get 2/5.
Answer:
J
Step-by-step explanation:
because you add all of them so 10+6+4+5=25 and ratio so 10/25 and reduced its 2/5 so J
Clint has a pizza that is cut into 4 equal slices. 3 pieces have pepperoni on them. The outher piece. only has cheese. what friction of the pizza only has cheese?
Answer:
1/4
Step-by-step explanation:
There are 4 slices
3 of the 4 slices has pepperoni
4-3=1
There is 1 slice without pepperoni, making 1/4th of the pizza pepperoniless.
Brainliest would be appriciated
BRAINLISTTTT
What is the simple interest on a $3,750 loan at a rate of 5% per year after 5 years?
a. $4,697.50
b. $13,125.00
c. $9,375.00
d. $937.50
Answer:
d.937.50
Step-by-step explanation:
After each year it adds 5% so 5x5 is 25%
25% of $3,750 is $937.50
hope this helps :)
Simplify the product using the distributive property.
(4h + 6)(4h − 7)
16h2 − 52h + 42
16h2 + 4h − 42
16h2 + 52h + 42
16h2 − 4h − 42
Answer:
16h^2-4h-42
Step-by-step explanation:
4h times 4h is 16h^2
4h times -7 is -28h
4h times 6 is 24h
6 times -7 is -42
Combine like terms to get 16h^2-4h-42
PLEASE HELP!
CAN YOU PLEASE EXPALIN WHAT IS THE NUMBERS ON EACH LITTLE LINE
Answer:
The location of B is 0.2
Step-by-step explanation:
We have to be using decimals on each line except for the whole numbers. Since there are spaces/lines in between 0 and 1. It would go like 0, 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1. Then 1, 1.1, 1.2, 1.3, 1.4, 1.5, 1.6, 1.7, 1.8, 1.9, 2. And so forth!
I hope this helps!!
I NEED HELP!!! :( anyone?!?
Answer:
Step-by-step explanation:
Hey! I'm an elevation student as well. I believe that where "x" is placed, that little square in the corner means that is a 90 degree angle so the value of x would be 90
If the scatter plot has a negative association, which statement is TRUE about the line of best fit? b>0, b<0, m>0, m<0
Answer:
The answer is m<0
Step-by-step explanation:
It’s right
help please I need it
PLEASE ANSWER QUICKLY
Explanation:
To solve for x, aka isolate it, you add 11 to both sides. Then you divide both sides by 2 like so:
[tex]2x-11 \ge 5\\\\2x \ge 5+11\\\\2x \ge 16\\\\x \ge \frac{16}{2}\\\\x \ge 8\\\\[/tex]
The inequality sign stays the same the entire time. It only flips if you divide both sides by a negative number, but that doesn't happen in this case.
The diameter of a circle is The diameter of a circle is 3 cm.
What is the circumference?
Use pi = 3.14
A) 4.71 cm
B 9.42 cm
C 22.15 cm
D 28.26 cm
Answer:
B
Step-by-step explanation:
Circumference=(pi)d
3*3.14=9.42
Josh and Ben spotted a bear in the woods while riding their bikes. Josh rode 3 miles north and Ben
rode 2 miles east. How far apart are the two boys?
Answer:
They are about 3.6 miles away from each other.
Step-by-step explanation:
2²+3² = C²
13=C²
√13 = C
C = 3.6
The distance between Josh and Ben is 3.6 miles
What is the Pythagorean theorem?Pythagorean theorem states that in the right angle triangle the hypotenuse square is equal to the square of the sum of the other two sides.
According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.
Given that Josh and Ben spotted a bear in the woods while riding their bikes. Josh rode 3 miles north and Ben rode 2 miles east.
The formula of the Pythagorean theorem is given as,
C² = a² + b²
C² = 2²+3²
C² = 13
C = √13
C = 3.6
Therefore, the distance between Josh and Ben is 3.6 miles
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2.What is the relation between origami and geometry?
Answer:
The Japanese art of paper folding is obviously geometrical in nature. Some origami masters have looked at constructing geometric figures such as regular polyhedra from paper. In the other direction, some people have begun using computers to help fold more traditional origami designs.
Step-by-step explanation:
Which statements about the relationship between the two triangles below are true? Check all that apply.
Triangle A C D. Angle D is 60 degrees and angle A is 74.9 degrees. Triangle R S T. Angle R is 74.9 degrees and angle S is 45.1 degrees.
Angle C is congruent to angle T
Angle C is congruent to angle S
Angle D is congruent to angle T
Triangle D C A is congruent to triangle T S R
Triangle D C A is similar to triangle T S R
Triangle C A D is similar to triangle T R S
Triangle C A D is congruent to triangle T R S
Answer:
B C E on edge
Step-by-step explanation:
Answer:
correct answer BCE
Step-by-step explanation:
Rona was driving on an asphalt road that had a 35 mile per hour speed limit posted. A lrr r deer jumped out from the side of the road causing Rona to slam on her brakes. Her tires left three skid marks of lengths 70 ft., 72ft., and71ft. The road had a drag factor of .78. Her brakes were operating at 95% efficiency. The police gave Rona a ticket for speeding. Rona insisted that she was driving under the speed limit. Who was correct (the police or Rona)
Answer:
The answer is "The cops were correct because the average speed would have been about 39.73 miles per hour as per the calculations."
Step-by-step explanation:
Finding the average skid distance:
[tex]Average=\frac{70+71+72}{3}=\frac{213}{3}=71[/tex]
Calculating the skid:
[tex]S=\sqrt{30 \times D \times f\times n}\\\\[/tex]
[tex]=\sqrt{30 \times 71 \times 0.78\times 0.95}\\\\=\sqrt{1,578.33}\\\\=39.73[/tex]
y varies inversely as x; x = 3 when y=-2. What is the constant?
Answer:
I think the answer is 2 and three
hello please help i’ll give brainliest
Answer:
Ahimsa
Step-by-step explanation:
Sonya makes a pattern of values for X in a pattern of values for Y which ordered pair continues the pattern and has an x- value of 6
help What is the area, in square centimeters, of the trapezoid below?
Answer:
115.15 cm²
Step-by-step explanation:
The area of a trapezoid = 1/2 (b1 + b2)h
Where:
b1 = first base = 8.2 cm
b2 = Second base = 15.3 cm
h = height = 9.8 cm
Hence, Area of the trapezoid =
1/2 (8.2 + 15.3) × 9.8
= 1/2 × (23.5) × 9.8
= 115.15 cm²
Therefore, the area, in square centimeters, of the trapezoid below is 115.15 cm²
GIVING BRAINLIEST IF YOU CAN ANSWER THIS it’s the last question on my test please help (don’t answer if you’re just going to say you don’t know).
Answer:
22. [tex]\frac{1}{2} (2x-2)(4x+2)[/tex]
23. [tex](x-3)(x^2+8x-2)[/tex]
A 20-pound bag of fertilizer costs $19.60. What is the cost
per pound?
Answer:
just do 19.60/20 = 0.98$/lbs
hope that answers your question
Step-by-step explanation: