The height of a parallelogram is one-third its base. If the area of the parallelogram is 363 square inches, find its base and height. (Draw a diagram.)
Answer:
Height = 11 inches
Base = 33 inches
Step-by-step explanation:
In this question, we are asked to find the height and base of a parallelogram given the area of the parallelogram.
From the question, we are told that height is 1/3 of base. This means that base is 3 times the height
So if we represent the height with variable h, then the base is 3h
Mathematically the area of a parallelogram can be calculated by the formula
A = bh
Thus ,
363 = h * 3h
3h^2 = 363
divide through by 3
h^2 = 121
h = √121
h = 11 inches
since b = 3h , then b = 3 * 11 = 33 inches
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Answer:
[tex] \boxed{Length \: of \: each \: side \: of \: cube = 5.2 \: mm} [/tex]
Given:
Volume of cube = 140.608 cubic millimetres
Step-by-step explanation:
Let the length of each side of cube = a
[tex] = > Volume \: of \: cube = {a}^{3} \\ \\ = > 140.608 = {a}^{3} \\ \\ = > {a}^{3} = 140.608 \\ \\ = > {a}^{ \cancel{3}} = {5.2}^{ \cancel{3}} \\ \\ = > a = 5.2[/tex]
Therefore length of each side of cube = 5.2 mm
2.5 kg of potatoes cost £1.40
Work out the cost of 4.25 kg of potatoes.
Step-by-step explanation:
if 2.5kg=£1.40
then 4.25kg=!
then cross multiply
4.25×1.40=2.5
5.95÷2.5kg=£2.38
Answer:
4.25 kg = £2.38
Step-by-step explanation:
The formula for working out the price per quantity is : [tex]\frac{Price}{Amount}[/tex]
To work this out you would first need to convert the mass of 2.5 kilograms into grams. You can do this by multiplying 2.5 by 1000, this gives you 2500 grams. This is because 1 Kg is equivalent to 1000 g and so by multiplying it by 1000 we are converting the kilograms into grams.
Then the next step is to divide the price of £1.40 by the quantity of 2500, this gives you 0.00056. This is because we are working out how much it costs for 1 g of potatoes.
Now that we know the price per gram we can now start working out the price of 4.25 kg. You can do this by first multiplying the mass of 4.25 kg by 1000, this gives you 4250. This is because we are converting the kilograms into grams.
The final step is to multiply the price per gram which is 0.00056 by 4250, this gives you £2.38.
1) Multiply 2.5 by 1000.
[tex]2.5*1000=2500[/tex]
2) Divide 1.40 by 2500.
[tex]1.40/2500=0.00056[/tex]
3) Multiply 4.25 by 1000.
[tex]4.25*1000=4250[/tex]
4) Multiply 0.00056 by 4250.
[tex]0.00056*4250=2.38[/tex]
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Answer:
A
Step-by-step explanation:
We are looking for 2 numbers with a product of -35 and a sum of -2. These are -7 and 5, so the factored version would be (w + 5)(w - 7), or A.
Find the center and radius of the circle described by the equation x2 + y2 + 6x - 4y - 27 = 0.
Answer:
Step-by-step explanation:
hello :
x²+ y² + 6x - 4y - 27 = 0 means : (x²+6x+9)-9+(y²-4y+4)-4-27 =0
(x+3)²+(y-2)² = 40....standard form when the center is (-3 , 2) and radius √40
The center is (-3, 2), and the radius root40.
We have given
x²+ y² + 6x - 4y - 27 = 0
It can be written as
(x²+6x+9)-9+(y²-4y+4)-4-27 =0
Write the given equation in standard form
What is the standard form of the circle?
(x-a)^2+(y-b)^2=r^2
Where (a,b) be the center and
r-is the radius of the circle
(x+3)²+(y-2)² = 40
Compare the above equation with the standard form of the equation
The center is (-3, 2), and the radius root40.
To learn more about the circle visit:
https://brainly.com/question/24375372
#SPJ2
Calvin builds a form for a new cement step. The form he builds is 35 1/2in. Long, 20 in. Deep, and 6 in. High. How much cementis needed to fll the form?
Answer:
231.78 lbs
Step-by-step explanation:
total amount of cementis needed= volume of form
volume of form in ft³= length × depth × height
= 35.5/12 × 20/12 × 6/12
= 2.465ft³
density of cement= 94.01651 lb/ft³
mass of cement= density × volume
= 2.465 × 94.01651
= 231.78lb
1. Find the volume of a sphere with a radius of 10 inches. Use 3.14 for pi.
Answer:[tex]1256in^{2}[/tex]
Step-by-step explanation:
The formula to find the radius of a sphere is [tex]4(pi)r^{2}[/tex]
3.14*4*100=1256
I hope this helped
5 miles and 8 ft. or 8800 yards
Answer:
5 miles and 8 ft because 8,800 yard is equal to 5 miles and 5 miles and 8 ft is larger than 5 miles
Step-by-step explanation:
Answer is above
Larger than 5 miles
Hope this helps.
20 POINTS!!!!!!!!!!!!!!!!
Answer:
The result should be:
Order: 8
Angle: 45°
Step-by-step explanation:
-It It takes 8 times to get to the same "original position" (where you originally were, before you start rotating) and every single turn, is 45 degrees:
8 turns to get to the original position.
-To get the angle, divide 360 by 8:
[tex]\frac{360}{8} = 45[/tex]
45° in every single turn.
-So, therefore the results are:
Order: 8
Angle: 45°
Answer:
this isnt 20 points
Step-by-step explanation:
What is the solution?
Answer:
Answer: w=2 and 2=6
Step-by-step explanation:
If you substitute 6 and 2 in for w they both work, making c the correct answer
Step-by-step explanation:
I did the work on a piece of paper and attached the picture.
Hope this helps :)
NEED HELP! ASAP PLEASE!
Answer:
(0,-41)
Step-by-step explanation:
You can see that for each 9 units that x goes up, y goes up by 19. If we continue this pattern, it will take 2 more jumps of 9 units for the x value to be 0 or to reach the y intercept. Adding 19 twice to -79 gives -41. Hope this helps!
find the surface area of the prism
Answer: C
Step-by-step explanation:
Length: 6in
Width: 8in
Height: 9in
[tex]A=2(wl+hl+hw)\\A=2[(8in)(6in)+(9in)(6in)+(9in)(8in)]\\A=2(48in^2+54in^2+72in^2)\\A=2(174in^2)\\A=348in^2[/tex]
What is the volume of this sphere?
Use ≈ 3.14 and round your answer to the nearest hundredth.
with a diameter of 10m
Answer:
523.59 or 523.60
Step-by-step explanation:
Volume for a sphere: 4/3πr^3 (4÷3x π x r ^ 3)
(r is radius, V is volume)
V= 4/3 x π x r^3
The diameter is 10, so the radius is 5...
V= 4/3 x π x 5^3
V= 4/3 x π x 125
CALCULATER: 4 ÷ 3 x π x 125
Answer 523.59 (523.60 rounded)
what is the value of x in the equation 4x - 5 = -33
Answer: [tex]x=-7[/tex]
Step-by-step explanation:
[tex]4x-5 =-33[/tex]
ad 5 to both sides
[tex]4x=-28[/tex]
divide both sides by 4
[tex]x=-7[/tex]
plug in x to double check
[tex]4(-7)-5=-33\\-28-5=-33\\-33=-33[/tex]
hope this helps :3
Michelle went shopping for some clothes and found a pair of slacks that cost
twice as much as a shirt that she liked. If the total, before tax, for the pair of
slacks and the shirt was $22.50, how much was the shirt, before tax?
Answer:
The sirt cost $7.5 before tax.
Step-by-step explanation:
Since the pair of slacks cost twice as much as the shirt, we have:
slacks = 2*shirt
And the total purchase was $22.5, so we have:
slacks + shirt = 22.5
We can create a system of equations such as:
slacks = 2*shirt
slacks + shirt = 22.5
If we apply the first formula on the second we can solve for the value of the shirt, we have:
2*shirt + shirt = 22.5
3*shirt = 22.5
shirt = 22.5/3 = 7.5
So the slacks cost:
slacks = 2*7.5 = 15
if the area of circle one is equal to the diameter of circle two what is the ratio of the area of circle two to the area of circle one
Answer:
0.7853981634
Step-by-step explanation:
it acually depends on the size of the circle. i asked google and they gave me that answer which is beloow "answer"
Mary's dog weighs 185 pounds. Her dog needs to lose between 9 and 15 pounds. Between what two percentages, rounded to the nearest whole numbers, should Mary's dog lose weight with respect to its current weight of 185 pounds. Select your answers from the drop-down lists.
Answer:
5-8% of the weight
Step-by-step explanation:
The dog needs to lose a weight within the values 9-15 pounds
To answer this question, what we just need to do is to know the percentage of 185 pounds that is 9 and the percentage of 185 pounds that is 15
The percentage decrease can be calculated using the formula;
(difference)/old value * 100%
For the 9 pound loss, we have ;
9/185 * 100% = 4.86 which is approximately 5%
For the 15 pound loss, we have;
15/185 * 100% = 8.11% which is approximately 8%
Thus, the dog is losing between 5-8% of its weight
Round to nearest hundreth
Select all the equations where a = 8 is a solution.
Choose 3 answers:
A 2 + 11 = 15
6 l = 8 + 0
©
15
a = 23
0 42 = 7a
Answer: B, C and E
Step-by-step explanation:
Pedro, Lena, Harriet, and Yermin each plot a point to approximate StartRoot 0.50 EndRoot. Pedro A number line going from 0 to 0.9 in increments of 0.1. A point is between 0.2 and 0.3. Lena A number line going from 0 to 0.9 in increments of 0.1. A point is between 0.4 and 0.5. Harriet A number line going from 0 to 0.9 in increments of 0.1. A point is at 0.5. Yermin A number line going from 0 to 0.9 in increments of 0.1. A point is just to the right of 0.7. Whose point is the best approximation of StartRoot 0.50 EndRoot?
Answer:
Yermin. √0.5 will be at Yermin's point
Step-by-step explanation:
Say Pedro line point is 0.25
Lena is 0.45
Harriet is 0.5
and Yermin is 0.7
The √0.5 = 0.707
≈ 0.7
Therefore it is at Yermin's point
Answer
DDDDDDDDDDDDDDD
Step-by-step explanation:
what is the distance between the points (3, 7) and (15, 16) on a coordinate plane?
Answer:
4.123. Rounded to the nearest tenth, you get 4.1 units.
Step-by-step explanation:
I've included a snapshot of my work.
I hope this helps. If you have any more questions, please feel free to post them and someone will be able to help you, whether it's myself or others. Please leave a like, rating, and if possible, Brainliest. Have a great day!
a rhombus is a kite? true false.
Answer: False
Step-by-step explanation: The question is asking if a rhombus is a kite, keyword there. A rhombus is shaped like most kites, but it's not a kite.
I hope this helps!
If tom has 5 apples, and Mary takes 3 apples. How many apples does Tom have?
Answer:
2 apples....................
Answer:
2
Step-by-step explanation:
Tom has 5 apples
Mary takes 3 apples
subtract 3 from 5
3 - 5 = 2
Find the area of a triangle with a =4, b =6, and c =8.
a. 10.2 units 2
b. 8.4 units 2
C.12.4 units
d. 11.6 units 2
Answer:
d
Step-by-step explanation:
Given 3 sides of the triangle the area (A) can be calculated using Hero's formula.
A = [tex]\sqrt{s(s-a)(s-b)(s-c)}[/tex]
where s is the semi perimeter of the triangle
s = [tex]\frac{a+b+c}{2}[/tex] = [tex]\frac{4+6+8}{2}[/tex] = [tex]\frac{18}{2}[/tex] = 9 , thus
A = [tex]\sqrt{9(9-4)(9-6)(9-8)}[/tex]
= [tex]\sqrt{9(5)(3)(1)}[/tex]
= [tex]\sqrt{135}[/tex]
≈ 11.6 units² → d
Can someone help me!!
ASAP
Answer:
It would be 30
Step-by-step explanation:
6*5=30
select the correct answer you're getting two side lengths of 10 cm and 8 centimeters the angle between the sides measure 40° how many triangles can you construct using his measurements? WILL GIVE BRAINLIEST PLZ HELP
Answer:
Step-by-step explanation:
16 triangles
Help now Twenty-seven is 25% of a0.
Answer:
27 is 25 % of 108
Step-by-step explanation:
x*25/100=27 or x=(27*100)/25=108
Another quadratic formula and the discriminant problem that I am stuck on. the answer is {2, 1/2}
Answer:
See explanation
Step-by-step explanation:
[tex]2b^2-5b+2=0[/tex]
[tex]b=\dfrac{5\pm\sqrt{25-16}}{4}=\dfrac{5\pm3}{4}=\dfrac{8}{4}, \dfrac{2}{4}=2,1/2[/tex]
Hope this helps!
The perimeter of the rectangle is 20\text{ cm}20 cm20, start text, space, c, m, end text. One side is 6\,\text{cm}6cm6, start text, c, m, end text long. What is the length of the missing side?
Answer: The lenght of the missing side is 4 cm
Step-by-step explanation:
The correct question is:
The perimeter of the rectangle is 20cm . One side is 6cm. What is the length of the missing side?
So, to answer it we have to apply the next formula:
Perimeter of a rectangle = 2 width + 2 length
Replacing with the values given: (assuming that the side given is the length of the rectangle)
20 = 2(6) + 2x
Solving for x:
20 =12 +2x
20-12 =2x
8 =2x
8/2 =x
4=x
The length of the missing side is 4 cm
Feel free to ask for more if needed or if you did not understand something.
ZA=
Round your answer to the nearest hundredth.
A
3
С
?
8
B
To find the value of angle A, we'll need to use a trigonometric function. In this case, we are given the adjacent side and the hypotenuse. So, we should use cosine. And because we are finding an angle, we will need to use the inverse cosine.
cos(a) = 3/8
a = cos^-1(3/8)
a = 67.98 degrees
Hope this helps! :)
