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valentina_108 [34]
3 years ago
12

Brand B snowblower has a 7 horsepower engine that is being advertised as a 40% larger engine than Brand A. How many horsepower d

oes Brand A have?
Mathematics
1 answer:
stellarik [79]3 years ago
6 0

Answer:

The answer is 4.2

Step-by-step explanation:

100%-40%=

60%

60%*7=

4.2

:)

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Ellis is painting wooden fenceposts before putti by then in his yard. They are each 5 feet tall and have a diameter of 1 foot. T
lawyer [7]

Answer:

39.25

Step-by-step explanation:

diameter. is 1 therefore radius is 1/2

formula is πr²h

where

h is height=5

=3.14x½²x5

=3.925 for one paint

therefore for 10 paints, we have

=3.925x10

=39.25

3 0
3 years ago
The school librarian, Mr. Marker, knows the library has 1,400 books but wants to reorganize how the books are displayed on the s
kipiarov [429]

Answer:

200 resource books

800 fiction books

400 nonfiction books

Step-by-step explanation:

Let's define x as the amount of resource books that are in the library. As he has four times as many fiction books as resource books, that means he has 4*x fiction books.

We also know he has half as many nonfiction books as fiction books, that is 1/2*4*x = 2*x nonfiction books.

We just need to find out the value of x.

We know there are 1,400 books in total and there are just 3 types of books. Therefore, if we sum all of them, we get the 1,400.

Written in math language, that is

x + 4x + 2x = 1,400

7x = 1,400

We divide by 7 on both sides and we get

7/7x = 1,400/7

x = 200

Now we replace the x with 200 to know how many books he has of each type:

Resource books = x = 200

Fiction books = 4*x = 4*200 = 800

Nonfiction books = 2*x = 2*200 = 400

Therefore, there are 200 resource books, 800 fiction books and 400 nonfiction books in the library.

The tape diagram is attached as an image.

8 0
3 years ago
One of the legs of a right triangle measures 7 cm and its hypotenuse measures 12 cm.
Oksana_A [137]

Answer:

AC ≈ 9,7sm

Step-by-step explanation:

AB=7  One side of a right triangle

BC=12  Hypotenuse of a right triangle

AC=?=x  The other side of a right triangle

x²+7²=12²  

x²=144-49

x²=95

x=√(95) ≈ 9,7

AC ≈ 9,7sm

3 0
2 years ago
This composite figure is created by placing a sector of a circle on a rectangle. What is the area of this composite figure? Show
Soloha48 [4]

Answer:

area of the figure: 29.92 m²

formula's:

  • area of rectangle: length * width
  • area of sector: ∅/360 * πr²

solving steps:

area of rectangle + area of sector

5.5 * 4 + 30/360 * π(5.5)²

22 + 7.919

29.92 m²

8 0
2 years ago
Read 2 more answers
5sin²α+3cos²α / 3sin²α-5cos²α = <br> if tgα=√2
fiasKO [112]
Tgα = tan(α) = sqrt(2)/1 = opposite/ adjacent
opposite = sqrt(2)
adjacent = 1
hypotenuse = sqrt(opposite^2 + adjacent^2)
= sqrt(sqrt(2)^2 + 1^2) = sqrt(3)

sin(α) = opposite/hypotenuse
= sqrt(2)/sqrt(3)

cos(α) = adjacent/hypotenuse
= 1/sqrt(3)

now we can calculate the value of
5sin²α+3cos²α / 3sin²α-5cos²α
... do the math
8 0
3 years ago
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