someone please answer question 4 and 5!! I have 14 minutes left till the exam end automatically

Answer: 2.5 feet

Step-by-step explanation:

A 30-60-90 triangle is a special right triangle in which the sides all have a fixed relationship with each other.  We only need to know one side to calculate the other two.

Make the side opposite the 30° angle x, then

The side opposite the right angle is 5ft, therefore:

2x = 5

x = 2.5ft, the side opposite the 30° angle

Then x*√3 is the third side:

(2.5)*(1.442) = 3.605 feet

Answer:

11

Step-by-step explanation:

1.80m + 0.6s = 12.00

[substitute the value of m into the equation]

1.80×(3) + 0.6s = 12

5.4 + 0.6s = 12

[make s the subject of the formula]

0.6s = 12 - 5.4

0.6s = 6.6

[divide both sides of the equation by 0.6]

0.6s / 0.6 = 6.6 / 0.6

s = 11

To prove that 11 is correct

[substitute the value of m and s into the equation]

1.80m + 0.6m = 12.00

1.80×(3) + 0.6×(11) = 12.00

5.4 + 6.6 = 12.00

12.00 = 12.00

Answer: you answer is

Step-by-step explanation:

Answer:

[tex](x^2+1)(x-3)(x+3)[/tex]

Step-by-step explanation:

x^2^2 - 9x^2 + 1x^2 - 9

= x^2(x^2 - 9) + 1(x^2 - 9)

= (x^2 + 1)(x^2 - 9)

= (x^2 + 1)(x-3)(x+3) <- (This is due to the a^2-b^2 theorem)

Hope this helps and be sure to have a wonderful time ahead at Brainly! :D

Answer:

this is acute angle.............. { because it's less than 90°}

Answer: 20 $

divide 30 by  [tex]\frac{2}{3}[/tex]

30 /   [tex]\frac{2}{3}[/tex] = 20

she has saved 20 $ so far

Answer:-105

Step-by-step explanation:

Answer:

Ok so, let's break it down

Step-by-step explanation:

-35+(-31)

Let's ignore the parenthesis and the - symbol

35+31

That would equal 66, so now we add back the - symbol which will make it -66

So we already have -66, so now we have -66+(-39)

We do the same thing we did with -35+(-31)

So we have 66+39

That makes -105

So your answer is -105

Step-by-step explanation:

Given,

John get paid for working per hour = £6.80

he worked this week = 9 1/2 hr can be written as 19/2 hr.

so, total amount he will get paid for working 19/2 hr

= 19/2 × 6.80

= 19 × 3.40 = 64.60 or 64.6

therefore, John's total.pay of this week is £64.6.

hope this answer helps you dear...take care and may u have a great day ahead!

Answer:

36.5

Step-by-step explanation:

365 days in a year

13,332/365

Answer:

-7/4

Step-by-step explanation:

1. The formula to find the slope of a line given two points is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex].

Therefore, the slope is -7/4.

Find the slope of the parallel line

(7, 2) and is parallel to y= -2x+1?

When two lines are parallel, they have the same slope.  

                ⇒  if the slope of the given line is = - 2      

                     then the slope of the parallel line (m) = - 2

Determine the equation

We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:  

                              ⇒  y - 2  =  - 2 (x - 7)                                  

We can therefore write the equation in the slope-intercept form by making y the subject of the equation and expanding the bracket to simplify:  

                     since   y - 2  = - 2 (x - 7)  

Answer:

the equation for the slope inception from

y=[tex]\frac{6}{5}[/tex][tex]x^{2}[/tex] + [tex]\frac{11}{5}[/tex]x + 34

Step-by-step explanation:

Answer: 7

Step-by-step explanation:

Write as a decimal

7 1/2 would be written as ~7.0833

Rounding a decimal to the nearest whole number

If you have a decimal that is greater than or equal to 5 in the tenths place then you round up. Ex: 5.8 would be rounded to 6, 1.5 would be rounded to 2.

If you have a decimal that is less than or equal to 4 in the tenths place then you round down. Ex: 5.1 would be rounded 5, 1.2 would be rounded to 1.

Since 0 is in the tenth’s place we round down to 7.

10%

Step-by-step explanation:

($3.95 - $3.45)/($3.95) × 100%

= ($0.50)/($3.95) × 100%

= 50/3.95 %

= 5000/395 %

= 1000/79 %

= 12,65 % → Round to the nearest tenth

≈ 10 %

[tex]\sf \large \boldsymbol {} \displaystyle \sqrt{\frac{637}{44} } =\frac{7\sqrt{143} }{22} \approx3,8[/tex]

Answer:

y = -5/2x + 5

Step-by-step explanation:

slope intercept form: y = mx + b

5x + 2y = 10 ------- subtract 5x on both sides

2y = -5x + 10 ------- divide 2 on both sides

y = -5/2x + 5

Answer:

10010110 . 100011₂

Step-by-step explanation:

A real number consists of two parts.

That is, ( 1 ) Integer part     ( 2 ) fractional part

Let us take the given number as an example.

Here, 150 . 55 ←  fractional part

           ↑        

(integer part)

So, to make such a decimal number into a binary number you have to use a method like this.

Let us solve it now.

Integer part

2 |150  

2 |75    - 0

2 | 37   - 1

2 | 18     - 1

2 | 9      - 0

2 | 4       - 1

2 | 2       - 0

2 | 1         - 0

    0         - 1

∴ 150 ⇒ 10010110₂

Fractional part

   | . 55 × 2

 1 | . 10 × 2

0 | . 2 × 2

0 | . 4 × 2

0 | . 8 × 2

 1 | . 6 × 2

 1 | . 2

As this fractional part not getting the zero even we multiply by 2 continuously, we have to write an approximate value for this.

150.55 ⇒ 10010110 . 100011₂

Answer:

Step-by-step explanation:

Step-by-step explanation:

anything whole or complete is designated as 100%.

what is x% of that whole ?

well, we need to multiply the whole with the same factor we need to multiply 100 with to get x.

100×f = x

f = x/100

whole × f = x% of the whole

so, when we are looking for 5%, what did that mean ?

it means that x = 5, and f = 5/100.

therefore, 5% of $13 is

13 × 5/100 = 65/100 = 0.65

so,

basic cost = $13

tax rate = 5%

tax amount = $0.65

and

basic cost = $13

tax amount = $0.65

total cost = 13 + 0.65 = $13.65

as 5/100 = 0.05

we have seen that the tax amount is simply $13×0.05

and when we add the tax amount to the basic cost, we need to add $13×1 (basic cost) to the $13×0.05 (tax amount), and we get as total

total cost = $13×(1+0.05) = $13×1.05 = $13.65

so, the decimal factor we can use directly without going through all the detail above is : 1.05

Answer:

2 : 3

Step-by-step explanation:

24 : 36 ( divide both parts by 12 )

= 2 : 3 ← in simplest form

If the denominators are not the same, then you have to use equivalent fractions which do have a common denominator . To do this, you need to find the least common multiple (LCM) of the two denominators.

To add fractions with unlike denominators, rename the fractions with a common denominator. Then add and simplify.

Answer:

12 sandwiches

Step-by-step explanation:

We know that Deion has 24 cheese slices, and uses 2 slices per sandwich, so in order to find how many sandwiches he can make, we can divide the total number of cheese slices by the number used to make a sandwich:

24 / 2 = 12

Therefore, Deion can make 12 sandwiches before he runs out of cheese.

Hope this helps :)

Answer:

2>3

Step-by-step explanation:

m = 8

3(8)/6 - 2 > 3

Answer:

Obtuse angle = 126 degrees

Step-by-step explanation:

7+3 = 10

180/10 = 18

(18)(7) = 126 degrees

Answer:

141,620,000

Step-by-step explanation:

I hope that's what you meant ^^

Answer:

141,620,000

Step-by-step explanation:

................

Answer:

900 ft

Step-by-step explanation:

I if 1 centimeter equals 3 ft and the dimensions are 10 cm by 10 cm then the real dimensions are 30 ft by 30 ft and that is 900 ft.

Answer:

x = 44

y = 136

z = 136

Step-by-step explanation:

The angles of a triangle have to add up to 180°

54 + 82 + x = 180

136 + x = 180

x = 44

We know that y and z are vertical angles, so they have the same measurements.

Also, x and the other angle across from it are also vertical angles.

88 + 2n = 360

2n = 272

n = 136

Therefore,

x = 44

y = 136

z = 136

Answer:

If there are 324 paving stones, it will cost $1539

Step-by-step explanation:

324 x 4.75 = 1539

Answer:

Step-by-step explanation:

Use the Pythagorean to find the distance XZ:

The difference of the distance is: