Answer:
3√10
Step-by-step explanation:
A rectangular swimming pool is 8 ft deep. One side of the pool is 3.5 times longer than the other. The amount of water needed to fill the swimming pool is 5488 cubic
feet. Find the dimensions of the pool.
Answer:
Dimension of pools are length = 42 ft , width = 12 ft and depth = 8 ft that is 42ft × 12ft × 8 ft
Step-by-step explanation:
given that depth of pool = 8 ft
let say one side of pool that is width = x
so other side of pool that is lenght = 3.5x [ given ]
volume of rectangular swimming pool is same as amount of water required to fill the swimming pool = 4032 cubit ft
Volume of rectangular pool = length × width × depth of swimming pool
⇒ 4032 cubic ft = 3.5x × x × 8
⇒ 4032/(3.5 ×8 ) = x²
⇒x² = 144
⇒x = √144 = 12
⇒3.5x = 12 × 3.5 = 42
hence dimension of pools are length = 42 ft , width = 12 ft and depth = 8 ft that is 42ft × 12ft × 8 ft
Step-by-step explanation:
Plzz complete #’s 1, 3, 5, 7, and 9 first person with all correct answers will get brainliest
try using the app Photomath for numbers 1-3!
if i had 39 containers of water and each container held 24 quarts. How many quarts water are in the 39 containers?
Answer:
936 quarts
Step-by-step explanation:
[tex]n=24*39=936quarts[/tex]
Simplify ((–3)2)3. Question 4 options: A) (–3)5 B) (–3)3/2 C) (–3)6 D) (–3)2/3
Give 3 values for x that make the inequality true. x < 3
Answer:
2, 1, 0
Step-by-step explanation:
they are less than 3 (Please mark brainliest)
The measure of one angle of a right triangle is 42∘ more than the measure of the smallest angle. Find the measures of all three angles.
Answer:
Step-by-step explanation:
A ≤ B ≤ C
C = 90°
B = A+42°
A+B = 90°
A+(A+42) = 90°
A = 24°
B = A+42° = 66°
24, 66, 90 are the measure of all three angles of the right angle triangle
What is right-angle triangle?A triangle is said to be right-angled if one of its angles is exactly 90 degrees. The total of the other two angles is 90 degrees. Perpendicular and the triangle's base are the sides that make up the right angle. The longest of the three sides, the third side is known as the hypotenuse.
Given, The measure of one angle of a right triangle is 42∘ more than the measure of the smallest angle.
Let "x" be the smallest angle in a right angle triangle.
So, biggest angle in the triangle will be x +42
Since, sum of the all the angles in a triangle = 180
x + x+ 42 +90 = 180
2x + 42 = 90
2x = 48
x = 24
Measure of the smallest triangle =x = 24
Measure of the biggest angle = 24 + 42
Measure of the biggest angle = 66
therefore, The measure of all three angles of the right angle triangle are 24, 66, 90.
Learn more about right-angle triangle here:
https://brainly.com/question/3770177
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Find the surface area of the following figure.
Answer:
[tex]\boxed{\textsf{\pink{ Hence the TSA of the cuboid is $\sf 32x^2$}}}.[/tex]
Step-by-step explanation:
A 3D figure is given to us and we need to find the Total Surface area of the 3D figure . So ,
From the cuboid we can see that there are 5 squares in one row on the front face . And there are two rows. So the number of squares on the front face will be 5*2 = 10 .
We know the area of square as ,
[tex]\qquad\boxed{\sf Area_{(square)}= side^2}[/tex]
Hence the area of 10 squares will be 10x² , where x is the side length of each square. Similarly there are 10 squares at the back . Hence their area will be 10x² .
Also there are in total 12 squares sideways 6 on each sides . So their surface area will be 12x² . Hence the total surface area in terms of side of square will be ,
[tex]\sf\implies TSA_{(cuboid)}= 10x^2+10x^2+12x^2\\\\\sf\implies\boxed{\sf TSA_{(cuboid)}= 32x^2}[/tex]
Now let's find out the TSA in terms of side . So here the lenght of the cuboid is equal to the sum of one of the sides of 5 squares .
[tex]\sf\implies 5x = l \\\\\sf\implies x = \dfrac{l}{5} \\\\\qquad\qquad\underline\red{ \sf Similarly \ breadth }\\\\\sf\implies b = 3x \\\\\sf\implies x = \dfrac{ b}{3}[/tex]
[tex]\rule{200}2[/tex]
Hence the TSA of cuboid in terms of lenght and breadth is :-
[tex]\sf\implies TSA_{(cuboid)}= 10x^2+10x^2+12x^2\\\\\sf\implies TSA_{(cuboid)}= 20\bigg(\dfrac{l}{5}\bigg)^2+12\bigg(\dfrac{b}{3}\bigg) \\\\\sf\implies TSA_{(cuboid)}= 20\times\dfrac{l^2}{25}+12\times \dfrac{b^2}{9}\\\\\sf\implies \boxed{\red{\sf TSA_{(cuboid)}= \dfrac{4}{5}l^2 +\dfrac{4}{3}b^2 }}[/tex]
A rectangle on a coordinate plane is translated 5 units up and 3 units to the left. Which rule describes the translation?
(x, y) → (x + 5, y – 3)
(x, y) → (x + 5, y + 3)
(x, y) → (x – 3, y + 5)
(x, y) → (x + 3, y + 5)
Answer:
(x, y) → (x + 5, y – 3)
Step-by-step explanation:
Refer to a graph. It helps.
Up = +
Down = -
Right = +
Left = -
Answer:
actually, the CORRECT answer is C) (x, y) → (x – 3, y + 5)
Step-by-step explanation:
got 100% on my e2020 unit test! ;D
A turntable rotates at 68 revolutions per minute. What is its angular speed in radians per second?
Answer:
[tex]\displaystyle \frac{34 \pi}{15} \ \frac{rad}{sec}[/tex]
General Formulas and Concepts:
Math
Dimensional AnalysisPre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightPre-Calculus
Angular Speed: 2π rad per revolutionStep-by-step explanation:
Step 1: Define
68 revolutions per minute
Step 2: Identify Conversions
2π rad per revolution
60 seconds = 1 minute
Step 2: Convert
[DA] Set up: [tex]\displaystyle \frac{68 \ rev}{1 \ min} \cdot \frac{2 \pi \ rad}{1 \ rev} \cdot \frac{1 \ min}{60 \ sec}[/tex][DA] Multiply/Divide [Cancel out units]: [tex]\displaystyle \frac{34 \pi}{15} \ \frac{rad}{sec}[/tex]Factor Completely::::
Answer:
x^2(x-9)(x+3) lmk if u need steps
Answer:
x^2 (x+3) (x-9)
Step-by-step explanation:
...............
What is the formula for 3cm, 5cm, and 4cm (3cm being the height and the 4 the base) and its a right triangle
Answer:
No se perdon nesesito puntos
Please save me :( I am bad at math
Answer:
d. 11050
Step-by-step explanation:
1. you're dividing to see how much one costs, 4420 divided by 4 = 1105
2. multiply by 10, 1105 x 10 = 11050 (add a zero)
Answer:
i dont know the exact answer but i can give you the instuctions on how to do do it.
Step-by-step explanation:
1. Cut 4420 in half (4420 divided by 2). Store that for later. This is two hours.
2. Multiply 4420 by 2 (This will give you 8 hours which, in mathematics, when added with two is ten.)
3. Add the answers you got from 1 and 2 to get your answer.
And there you have it.
Hope this helps!
-Alex
A solid gold ingot has a volume of 200 cm3 and a mass of 3.9 kg.
What is the density of gold?
Step-by-step explanation:
convert 3.9 kg to grams
3.9×1000=3900 g
density = mass/ volume
= 3900/ 200
=19.5 g/cm3
Write an equation in slope-intercept form for the line that passes through
(–1, –2) and (3, 4).
please help will give brainliest
Answer:
The third choice: 0.091
Step-by-step explanation:
There are only 9 cards with numbers that add up to 10:
19, 28, 37, 46, 55, 64, 73, 82, & 91
9/99 = 0.090909 or 0.091
The usual price of a sweatshirt is $18, what is its sale price?
Answer:
I feel like there is more to that question can you put the whole question
The two-way table shows the ages of the players on different soccer teams.
Answer:
3rd one down is the answer
helphelphelphelphelphelphelphelphelphelphelphelphelp
Step-by-step explanation:
just subtract everything
find the mean of the set of the numbers given 25,20,23,22
Answer:
The Mean of the set of the numbers x⁻ = 22.5
Step-by-step explanation:
Given a set of the numbers
25,20,23,22
Mean of the given data
∑x/n
Mean of the given data
[tex]\frac{25+20+23+22}{4} = \frac{90}{4} = 22.5[/tex]
The Mean of the set of the numbers x⁻ = 22.5
• Explain why 3 + x and x + 3 are equivalent.
Answer: Becuase of the communitive property
Step-by-step explanation:
For example say you have 5 + 6
5 + 6 = 11
6 + 5 =11
no matter how you flip it, it's always the same
A triangle has side lengths
that measure (3x + 4), (7x
+ 5) and (2x - 1). If the
perimeter of the triangle is
greater than or equal to 74,
what are the possible
values of x?
Answer:
x is greater or equal to 5.5
Step-by-step explanation:
Heidi is building a stone path in her garden. It needs to be 8 feet to 8 1/2 feet long. Drag stones into the box
Answer:
where are the stones
Step-by-step explanation:
Answer:
you have to figure out how big the stones are and add to the box accordingly
Step-by-step explanation:
3/6 + 2/6= improper fraction
Answer:
3/6+2/6=5/6is not improper fraction
the product of -4 and 6 is subtracted from the quotient of -100 by -5 . what is the answer please
Answer:
498
Step-by-step explanation:
so first multiply -100 by -5 to get 500
the word "by" indicates multiplication
Next subtract -4 and 6 by 500
so 500 - 6 - (-4) = 498
If a perimeter of a frame is 24 inches and it is 2inches wide what is the length of the frame
374x+3=2995 ME GIVE BRAIN I MUST DO MY HOMEWORK you lifesaver...
Hi there!
x=8
1.Subtract the answer with the 3 / subtract the terms:
[tex]2995-3=2992[/tex]
2.Divide the two terms:
[tex]2992*374=x[/tex]
Therefore, x=8
In Ms. Perron’s class, 60% of the students are boys. There are 26 students in the class. What is the total number of boys in Ms. Perron’s class?
Help :'/
Answer:
Let the no. of students be X.
Boys = 60% of X .
So Boys = (60/100)*X.
So left 40% of students are girls and it is given they are 14.
So total students X= total boys + total girls.
X = (60/100)*X+14.
(40/100)*X = 14.
X = (14*100)/40.
X = 35.
X - (60/100)*X = 14.
Step-by-step explanation:
A local hamburger shop sold a combined total of 575 hamburgers and cheeseburgers on Saturday. There were 75 fewer cheeseburgers sold
than hamburgers. How many hamburgers were sold on Saturday?
Answer:
D.
Step-by-step explanation:
it is right
Peter's family traveled 5/8 of the distance to his grandmother’s house on Saturday. They traveled 2/3
of the remaining distance on Sunday. What fraction of the total distance to his grandmother’s house was traveled on Sunday?
Solve:
Write your answer in the following format:
(x,y)
with no spaces.
Answer:
it 10 because if x =9 then y=10