Answer:
Step-by-step explanation:
The volume of a rectangular prism can be calculated by multiplying the area of its base by its height.
Mathematically, we have
The volume of prism = base area X height
At this point, it is important to note that a rectangular prism is a solid shape that has its base as a rectangle; so the area of its base, is the same thing as the area of a rectangle.
Where base area = length X breadth
hence, volume = length X breadth X height
volume = 3/2 X 5/2 X 4 = 15 cubic inches
The Garys have a triangular pennant of area 420 in(squared)flying from the flagpole in their yard. The height of the triangle is 10 in less than 5 times the
base of the triangle. What are the dimensions of the pennant?
Answer:
The answer is given below:
Step-by-step explanation:
The computation of the dimension of the pennant is shown below:
As we know that
Area of the triangle = 1 ÷ 2 × base × height
where
x represents the base of the traingle
h represent the height that should be (5x - 10)
Now according to the above formula
420 = 1 ÷ 2 × x × (5x - 10)
840 = x(5x - 10)
840 = 5x^2 - 10x
5x^2 - 10x - 840 = 0
5(x^2 - 2x - 168) = 0
x^2 - 2x - 168 = 0
x^ - 14x + 12x - 168
x (x - 14) + 12(x - 14)
(x + 12) (x - 14)
So, here x = 14
Now height would be
= 5(14) - 10
= 60 inches
Point R is located at (8, 9). Where is R' after a translation 8 units left and 6 units down?
is 6:4 and 4:3 equivalent ratios?
Answer:
nooooo
Step-by-step explanation:
an equivalent ratio to 6:4 would be 3:2 and an equivalent ratio for 4:3 would be 8:6
hope this helps! :)
The ratios 3:2 and 4:3 are not the same ratio, we can conclude that 6:4 and 4:3 are not equivalent ratios.
What are ratios and proportions?A proportion is a statement that two ratios are equal. It compares two ratios and states that they are equivalent.
No, the ratios of 6:4 and 4:3 are not similar. We must reduce each ratio to its simplest form in order to determine whether two ratios are equivalent (by dividing both the numerator and denominator by their greatest common factor).
For 6:4, the greatest common factor is 2, so we can simplify to:
6:4 = 3:2
For 4:3, there are no common factors other than 1, so it is already in its simplest form.
Since 3:2 and 4:3 are not the same ratio, we can conclude that 6:4 and 4:3 are not equivalent ratios.
To know more about ratios and proportions follow
https://brainly.com/question/29038325
#SPJ2
Find the surface area of the sphere with a radius of 5.
Answer:
Step-by-step explanation:
Answer:
314.16
Step-by-step explanation:
4πr^2
4π(25)
100π
= 314.16
Simplify the following [³√64a³]-¹
(Geometry)
Name each triangle by the lengths of it’s sides.
a) 3 in., 5 in., 3 in.
b) 14 cm, 9 cm, 8 cm
c) 24 mm, 24 mm, 24 mm
d) 12 ft., 12 ft., 15 ft.
e) 7 mi., 6 mi., 5 mi.
f) 32 m, 48 m, 48 m
Answer:
A)Isosceles Triangle
B)Scalene Triangle
C)Equilateral Triangle
D)Isosceles Triangle
E)Scalene Triangle
F)Isosceles Triangle
Step-by-step explanation:
Helped me out with the triangles on the bottom but remember
all sides diffrent= Scalene Triangle
All sides the same = Equilateral Triangle
Only 2 sides the same = Isosceles Triangle
A cylindrical cup is 8 centimeters in height. When filled to the very top, it holds 480 cubic centimeters of water. What is the radius of the cup, rounded to the nearest tenth? Explain or show your reasoning.
Answer:
4.4cm
Step-by-step explanation:
The area of a circle is [tex]\pi r^{2}[/tex], where r is the radius.
Hence the volume of the cylinder would be [tex]\pi r^{2}h[/tex], where r is the radius and h is the height of the cylinder.
We can set up an equation V = [tex]\pi r^{2}h[/tex]
If we plug in the values we know, V=480, h=8, then we get [tex]480=8\pi r^{2}[/tex]
If we divide both sides be 8pi and square root both sides after that, we can find the value of r.
[tex]r = \sqrt{\frac{480}{8\pi } } =4.37019[/tex]
To the nearest tenth, the radius would round up, yielding 4.4cm
In the following equations, what would you multiply the second equation to
eliminate the "x"? *(PLEASE I REALLY NEED HELP!! D:)
3x + y = 20
x + y = 12
1) -1
2) 1
3) -3
4) 3
GEOMETRY HELP PLEASE!! WILL MARK BRAINLEIST!
6
Answer:
53°
Step-by-step explanation:
Let m∠BCA = 'x'
Because it states that quadrilateral ABCD is a rectangle (sorry, forgot to say that in my image), that means that angles ∠ABC, ∠BCD, ∠CDA and ∠DAB are all right angles. That also means that all those angles are 90°.
Since ∠ACD is a portion of ∠BCD, (37° is a portion of 90°), and we're looking for the complement of ∠ACD, all we have to do is subtract 37° from 90°.
90 - 37 = 53
Hence, the answer is 53°
a
b
c
d
plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
it's not A or D
Step-by-step explanation:
math I guessssssss
Answer:
D
Step-by-step explanation:q
If you have a 30 degree reference angle, the side opposite (the side not part of the reference angle) is 1/2 the size of the hypotenuse.
Since the side opposite is 12, the hypotenuse is easily found.
1/2 = opposite / hypotenuse
1/2 = 12 / hypotenuse Cross multiply
hypotenuse = 2 * 12
hypotenuse = 24
Now use the Pythagorean Theorem to get the third side.
c = 24
a = 12
b = ?
a^2 + b^2 = c^2
12^2 + b^2 = 24^2
144 + b^2 = 576 Subtract 144 from both sides.
b^2 = 576 - 144
b^2 = 432
Now you have to factor 432 down to its primes
432 = 2 * 2 * 2 * 2 * 3 * 3 * 3
The rule is for every two 2s you take one outside the root sign and throw the other one away. If there are an odd number of factors, leave one of them under the root sign.
sqrt(b^2) = sqrt(432)
b = 4 * 3sqrt(sqrt(3))
b = 12 sqrt(3)
Answer
r = 12*sqrt(3)
t = 24
The answer is D
HELP HELP HELP!!!!!!!
Answer:
b = 77
Step-by-step explanation:
a² + b² = c²
36² + b² = 85²
1296 + b² = 7225
b² = 7225 - 1296
b² = 5929
[tex]\sqrt{b^2} =\sqrt{5929}[/tex]
b = 77
Which choice represents the expression below as a single exponential
expression?
7.16.7.17
A. 7.142
B. 7.113.7.113
C. 7.113
D. 711
Answer:
C) (7.1)^13
Step-by-step explanation:
When you multiply numbers with the same bases but different exponents, the base stays the same, but the exponents get added:
a^x*a^y=a^(x+y)
(7.1)^6*(7.1)^7=(7.1)^(6+7)=(7.1)^13
Therefore, the correct answer is C) (7.1)^13
Answer:
C
Step-by-step explanation:
When multiplying numbers with exponents, you always add the exponents.
7.1^6+7
7.1^13
Hence, C
Hope it helps!
help asap
Classify the triangle as acute, obtuse, or right. Use the sides, 6,12,18, and decide wha
type of triangle it is.
Answer:
Acute because all angles are less than 90
What is 2/5 divided by 4
the answer to the question is 0.1
Answer:
1/10 or 0.1
Step-by-step explanation:
You first rewrite the problem as 2/5÷4/1. Then you flip the second fraction for multiplication: 2/5*1/4. Now you multiply both numerators and denominators to get a final total of 2/20 which equals 1/10 or 0.1.
Find x and y ( please explain )
Answer:
y = 75°
Step-by-step explanation:
y and 105°
are on a straight line ,
a straight line is 180°
180 - 105 = 75°
y=75 °
I'm not sure about x hope you understand
What is slope of (2,-1) and (-5,-3)?
Answer:
I love algebra anyways
the ans is in the picture with the steps
(hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation:
A shoe company started a website 2 years ago. The first year, the website received h hits. The second year, it received 132 % of the hits it received the first year. Which expression will result in the number of hits the company's website received the 2 nd year? 1 + 0.32 h 1 plus 0 point 3 2 h, 1.32 h 1 point 3 2 h, ( 1 + 1.32 ) h open paren 1 plus 1 point 3 2 close paren times h, h + 1.32 h , h plus 1 point 3 2 h,
Answer:
B. 1.32 h : 1 point 3 2 h
Step-by-step explanation:
Year 1 = h hits
Year 2 = 132 % of the hits it received the first year
Number of hits the company's website received the 2nd year = 132% of h
= 132/100 × h
= 1.32 × h
= 1.32h
A. 1 + 0.32h : 1 plus 0 point 3 2 h,
B. 1.32 h : 1 point 3 2 h,
C. ( 1 + 1.32 ) h : open paren 1 plus 1 point 3 2 close paren times h,
D. h + 1.32 h : h plus 1 point 3 2 h,
giving out brainiest for whoever gets it right!
Mandy made a circular ower garden with a diameter of 7 feet. She wants to put a fence around the outside of the
garden. About how much fence does
Mandy need to buy? (Use 3.14 for .)
A. 11 feet B. 22 feet
C. 38 feet D. 44 feet
NO LINKS OR SPAMMING IF U DO U WILL BE BLOCKED AND REPORTED!
Answer:
b. 22
Step-by-step explanation:
7 x 3.14 = 21.95
( 22 because you cannot buy half of one so you have to round it)
21.95 - 22
10.
Use the tangent ratio to find the size of the angle marked x, correct to the nearest degree.
Is a acute triangle regular?
Answer:
An equilateral triangle may also be called a "regular" triangle. (A "regular" polygon has all equal sides and all equal angles.)An acute triangle has all angles measuring less than 90º. Note: It is possible for an acute triangle to also be scalene, isosceles, or equilateral.
Step-by-step explanation:
hope this helped and can u plz mark me brainlest
hi please help i’ll give brainliest
Answer:
The answer is B
Step-by-step explanation:
IT SHOWS THAT A SOLAR ECLIPSE OCCURS WHEN THE MOON CASTS A SHADOW OVER EARTH.
How many flowers, spaced every 3 in., are needed to surround a circular garden with a 125 -ft radius? Use 3.14 for (the pie symbol).
Answer:
785
Step-by-step explanation:
flowers needed to surround the garden = circumference of the garden / space
circumference of a circle = 2nr
n = 3.14
r = radius
The radius is in ft and the space is in inches. i would convert the ft to inches to aid comparability
1ft = 12 inches
125 x 3 = 375
2 x 3.14 x 375 = 2355
flowers needed = 2355 / 3 = 785
HELP ME AND NO LINKS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!11
Answer:
C
Step-by-step explanation:
b and c are wrong cuz we can see that some dogs weighed 20 pounds
D is wrong cuz the iqr is not affected by extreme values and is focused on the 25th and 75th percentile of the values
Solve the equation below for m.
3
Answer: 30
Step-by-step explanation:
3(0.3m + 6) + m =75
(0.3 x 3 = 0.9)
(6 x 3 = 18)
0.9m + 18 + m = 75
0.9m + m + 18 = 75
(m=1)
1.9m + 18 = 75
1.9m = 75 - 18
1.9m = 57
m = 57÷ 1.9
m = 30
BRAINLIEST Blue whales eat an average of 5,000 pounds of fish daily, with a standard deviation of 850 pounds. Approximately what percentage of blue whales eat more than 6,700 pounds of fish? 2.5% 5% 15.87% 31.74%
Answer:
I think it is C 15.87%
Step-by-step explanation:
Camila owns a car worth $5,900 and owes $2,800 on the car loan. She has $1,600 in her bank account and $5,210 in a savings account. She has a balance of $1,400 on her credit card. What is her net worth?
Answer:
[tex]Net\ Worth=11310[/tex]
Step-by-step explanation:
From the question we are told that:
Car worth [tex]C=5900\$[/tex]
Car Loan[tex]L=2800\$[/tex]
Bank account [tex]B= 1600\%[/tex]
Savings account [tex]S=5210\&[/tex]
Credit card [tex]CC=1400\%[/tex]
Generally Net worth is the value of the assets a person or corporation owns, minus the liabilities they owe.
Therefore
[tex]Net\ Worth=Asset-Liability\\\\Net\ Worth=Car worth+Bank account+Savings account +Credit card-Car Loan\\\\Net\ Worth=5900+1600+5210+1400-2800[/tex]
[tex]Net\ Worth=11310[/tex]
Answer:
6tvuyrfrd
Step-by-step explanation:
For which value of p and q does the following pair of linear equations have an infinite
number of solutions?
2x + 3y = 7
( p-q ) x + (p+q) y = 3 p + q -2
Answer:
[tex]p =2.5[/tex]
[tex]q = 0.5[/tex]
Step-by-step explanation:
Given
[tex]2x + 3y = 7[/tex]
[tex]( p-q ) x + (p+q) y = 3 p + q -2[/tex]
Required
Find p and q
To do this, we make direct comparison between the given expressions.
[tex]2x + 3y = 7[/tex] and [tex]( p-q ) x + (p+q) y = 3 p + q -2[/tex]
This implies that:
[tex](p - q)x = 2x[/tex]
[tex](p+q)y = 3y[/tex]
[tex]3(p + q) - 2 = 7[/tex]
So, we have:
[tex]p - q = 2[/tex] --- (1)
[tex]p+q =3[/tex] -- (2)
[tex]3(p + q) - 2 = 7[/tex] --- (3)
If [tex](1)\ and\ (2)[/tex] are true, then [tex](3)\ must[/tex] be true.
So, we only solve [tex](1)\ and\ (2)[/tex]
Add (1) and (2) to eliminate q
[tex]p+p-q+q=2+3[/tex]
[tex]2p=5[/tex]
Solve for p
[tex]p = 5/2[/tex]
[tex]p =2.5[/tex]
Substitute [tex]p =2.5[/tex] in (2)
[tex]p+q =3[/tex]
[tex]q = 3 - p[/tex]
[tex]q = 3 - 2.5[/tex]
[tex]q = 0.5[/tex]
(x+ 7)(x -8) = 0 then
___ OR ___
OR Solving: x = x =
NOT MULTIPLE CHOICE
Answer:
if this is factoring i wanna say
x= -7
x= 8
but i could be wrong this is a trick 1
Step-by-step explanation:
Please helppp fast!!Simplify (4x^5)^2 (x^10)^1/2
Answer:
(4^2*x7)(x^10.5)
Someone help plz, plz make sure it’s right if it is will mark brainiest :)
Answer:
Step-by-step explanation:
I really don’t know but I think you have to find the hypothenuse first then you can do the rest
Answer:
Step-by-step explanation:
"SAS" is when we know two sides and the angle between them. use The Law of Cosines to calculate the unknown side, then use The Law of Sines to find the smaller of the other two angles, and then use the three angles add to 180° to find the last angle.