Help and please make sure the answer is right? :)

Answer:

[tex]P_1 = 24cm[/tex]

Step-by-step explanation:

Represent:

Phil's height with P

Suzanne's height with S

Phil's shadow with P1

Suzanne's shadow with S1

So, we have:

[tex]P = 51.2cm[/tex]

[tex]S = 5'4"[/tex]

[tex]S_1 = 76.2cm[/tex]

Required

Calculate the length of Phil's shadow --- Missing part of question

To do this, we make use of the following equivalent ratio.

[tex]P:S = P_1 : S_1[/tex]

Convert [tex]S = 5'4"[/tex] to cm

[tex]S = 5ft\ 4in[/tex]

[tex]S = (5*30.48+ 4*2.54)cm[/tex]

[tex]S = 162.56cm[/tex]

Substitute values for P, S and S1

[tex]51.2cm : 162.56cm = P_1 : 76.2cm[/tex]

Express as fraction

[tex]\frac{51.2cm}{162.56cm} = \frac{P_1 }{ 76.2cm}[/tex]

Make P1 the subject

[tex]P_1 = 76.2cm * \frac{51.2cm}{162.56cm}[/tex]

[tex]P_1 = 76.2cm * \frac{51.2}{162.56}[/tex]

[tex]P_1 = \frac{76.2cm * 51.2}{162.56}[/tex]

[tex]P_1 = \frac{3901.44cm}{162.56}[/tex]

[tex]P_1 = 24cm[/tex]

Hence, the length of Phil's shadow is 24 cm

Answer:

n=58

Step-by-step explanation:

the square at the bottom right indicates that, that angle equals 90.

all the angles in a triangle add up to equal 180 so we subtract the angles that are given from 180 to get the missing angle

180-90-32=58

n=58

Answer:

122

Step-by-step explanation:

Answer:

122

Step-by-step explanation:

8 pints in 1 gallon

multiply 15.25 and 8 to get answer of 122

Answer:

0.25 gallons

Step-by-step explanation:

Figure out how many fluid ounces make one gallon (128) Then start by dividing 128 by 32.. You should get 4. Make 4 a decimal and get 0.25

Answer:  

4:1

sorry if i'm wrong

Answer:

Step-by-step explanation:

54 ÷6= 9

the first one is  5:1

then take away 9

45- 9 = 36

36:9 = 4:1

Answer:

a) x = 492/738

b) m<p = 39°

   m<n = 141°

Step-by-step explanation:

Find the diagram attached

a) The sum of angle on the straight line l is 180degrees

m<n + m<p = 180 degrees

Given

<p = 21x+25

<n = (675x-27)/3

Substitute the given values into the formula

(675x-27)/3 + 21x+25= 180

[(675x-27+3(21x+25))]/3 = 180

675x-27+63x +75 = 180*3

675x+63x-27+75 = 540

738x+48 = 540

738x = 540 - 48

738x = 492

x = 492/738

b) m<p = 21x+25

m<p = 21(492/738) + 25

m<p = 14+25

m<p = 39°

Recall that m<p + m<n = 180

m<n = 180-m<p

m<n = 180 -39

m<n = 141°

Step-by-step explanation:

x=6

y = 4

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

Answer:

B, -3

Step-by-step explanation:

-4x+5=17

this equation can be used to determine the number

-4x=12

x=-3

Answer:

Dinner: $45

Dinner after discount: $29.25

Tax after discount: $31.59

Tip before the discount: 6.75

Total cost: 38.34

Step-by-step explanation:

Hope it helps! :) (double check my work to be sure)

Answer: No, it is unlikely that a student chosen at random will have only 2 siblings.

Step-by-step explanation:

Given: Number of students with 2 siblings = 10

Total students = 6+7+10+3 =26

The probability of choosing a student with only 2 siblings = [tex]\dfrac{\text{Number of students with 2 siblings}}{\text{Total siblings}}[/tex]

[tex]=\dfrac{10}{26}\\\\=\dfrac{5}{13}\approx0.38<0.5[/tex]

Hence, it is not likely that a student chosen at random will have only 2 siblings.

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

If the two number cubes are a standard six sided dice then the total of ways he can roll for the sum of 6 is 3

1+5 = 6

2+4 = 6

3+3 = 6

Answer:

There are two versions of this test, one is used when the variances of the two populations are equal (the pooled test) and the other one is used when the variances of the two populations are unequal (the unpooled test).

Step-by-step explanation:

l = 5 + 2w.

P = 88 cm.

P = 2 ( l + w )

88 cm = 2 ( (5 + 2w) + w)

88 cm = 2 (5 + 3w)

88 cm cm = 10 + 6w

88 cm cm - 10 = 6w

78 cm = 6w

78 cm : 6 = w

13 cm = w

The width is 13 cm.

Answer:

10cm

Step-by-step explanation:

Answer:

B. 1 1/4 cup

Step-by-step explanation:

1/3 times 3 3/4 gives you 1 1/4! Hope that helps!

Answer:

Step-by-step explanation:

11/4

ez as pie

Answer:

width = 5 ft

length = 9 ft

Step-by-step explanation:

Here, we want to get the length and width of the garden

length is 1 ft less than twice the width

if width = w

length = 2w-1

The product of the two is 45

so, we have it that;

w(2w-1) = 45

2w^2 - w = 45

2w^2 - w -45 = 0

2w^2 - 10w + 9w -45 = 0

2w(w-5) + 9(w-5) = 0

(2w + 9)(w-5) = 0

2w + 9 = 0

or w -5 = 0

w = 5 or-9/2

w cannot be negative, so we = 5

l = 2(5) -1 = 10 - 1 = 9 ft

Answer:

to gain what result

Step-by-step explanation:

if u can please the full question

Answer:

b

Step-by-step explanation:

8*5=40

40*1/3=40/3

Answer:

assuming angle RST=90 degrees

h=19

Step-by-step explanation:

RU/h=h/UT

RU=RT-UT=42-12=30

30/h=h/12

h^2=360

h=18.97   rounded to nearest tenths=19

Answer:

3w < 18

Step-by-step explanation:

To do 3 times if you put 3 against a variable that means to multiply. Since a number is unknown it turns into variable which is w in this case. Then less than 18 to do the less than symbol, think of them like crocodile they always eat the bigger number and since 3w is less than 18 the croc < eats 18. Thats just an easy way of remembering. Hope this helps :)

3x+5x+1=17

x=2

y=5•2+1

y=1

(x, y)=(2, 11)

3x+2(4x+5)=43

x=3

y=4•3+5

y=17

(x, y)=(3, 17)

I think I did it right and I hope I helped you

Answer:

7 people went to the basketball game.

Step-by-step explanation:

Giving the following information:

They parked the car in a parking lot which charged $5. The cost per ticket was $24.

To calculate the number of people, we need to use the following formula:

Total cost (y)= x*24 + 5

173 = 24x + 5

168/24 = x

7 = x

7 people went to the basketball game.

Answer:

I think 2 is the coefficient of x which is numerical.

Answer:

(2,11)

Step-by-step explanation:

f(x) = 5*2 + 1 = 11

g(x) = -2 *2 + 15 = 11

Answer: Yes

Step-by-step explanation:

15/60 divided both by 15:

15/15=1 and 60/15=4

Answer:

yes

Step-by-step explanation:

15/60 divided by 15/15 = 1/4, or you could day that 15/60 simplified = 1/4, making the answer yes

Answer:

I need a picture at least

Answer:

4x

Step-by-step explanation:

Answer:

A. 2x is correct.

Step-by-step explanation:

Finding the measure of the segment BC and ST by the Distance formula: B (5, 7), C (8, 8), S (1, 11), T (7, 13).

BC = √(8-5)² + (8 - 7)²

BC = √10

ST = √( 7 - 1)² + ( 13 - 11)²

ST = 2√10

Scale Factor = Image/ Pre-image = ST/BC = 2√10/√10 = 2

This means that the image, ST, is twice as large as the pre-image BC.