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Studentka2010 [4]
3 years ago
5

Please help I have 30 mins

Mathematics
1 answer:
Vladimir79 [104]3 years ago
4 0

Answer:  0.6 in 10 % ; 0.4 in 15 %

Step-by-step explanation:

1. (x*10%) + (y*15%)/ x+y=12%

2. x+y = 1  x= 1-y

(0.1x + 0.15y/ x+y= 12/100) * 100

(10x + 15y/x+y = 12)*(x+y)

10x+15y= 12x + 12y

-2x=-3y

2x = 3y   2(1 - y)= 3y

2-2y=3y   2= 5y

y= 0.4

x= 0.6

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What is the length of the hypotenuse of a right triangle with sides that measure 7 cm and 24 cm?
Paul [167]

The length of the hypotenuse of a right triangle with sides that measure 7 cm and 24 cm is 25 cm

<u>Solution:</u>

Given a right angled triangle,

The sides measure 7 cm and 24 cm

We have to find the length of hypotenuse

For a right angled triangle, by Pythagorean theorem, which states that the square of the length of the hypotenuse is equal to the sum of squares of the lengths of other two sides of the right-angled triangle.

From above definition we get,

c^2 = a^2 + b^2

Where, "c" is the length of hypotenuse

"a" is the length of one side of triangle

"b" is the length of other side of triangle

Here, a = 7 and b = 24 and c = ?

c^2 = 7^2 + 24^2\\\\c^2 = 49 + 576 = 625

Taking square root on both sides,

c = \sqrt{625}\\\\c = 25

Hence the length of hypotenuse is 25 cm

7 0
3 years ago
Help me with number 10 pleaseeeeeeeeee
valina [46]

Answer:

4' - 9.64

Step-by-step explanation:

Total rise = 2' - 7"

Total run = 3' - 9"

Converting to inches :

1' = 12" ; 1 feet = 12 inches

2' = 2 * 12 = 24"

3' = 3 * 12 = 36"

Total rise = 24" + 7" = 31"

Total run = 36" + 9" = 45"

Length of stringer = hypotenus

Hypotenus = √(total rise² + total run²)

Hypotenus = √(31² + 45²)

Hypotenus = 54.644304"

= 4' - 9.64"

6 0
3 years ago
2x^2-21x-36. Can someone help me out?
sergeinik [125]
-752<span>thatswhat the answer should be
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8 0
3 years ago
Read 2 more answers
Mrs. Stoddard has 264 crayons for her art class of 22 students. How many crayons will each student get if the crayons are divide
DedPeter [7]

Answer:

12

Step-by-step explanation:

264/22

8 0
3 years ago
Two functions are shown in the table below.
SVETLANKA909090 [29]

Answer:

(d)\ x = 4

Step-by-step explanation:

Given

f(x) = -x^2 + 4x + 12

g(x) = x + 8

Required

Find x such that: f(x) = g(x)

This gives:

-x^2 + 4x + 12 = x+8

Collect like terms

-x^2 + 4x -x + 12 -8=0

-x^2 + 3x +4 =0

Expand

-x^2 + 4x - x+4 =0

Factorize

x(x - 4) - 1(x-4) = 0

Factor out x - 1

(x- 1)(x - 4)=0

Solve:

x =1\ or\ x = 4

8 0
3 years ago
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