Michael's lawn measures 12 feet wide and 15 feet long. Sue's lawn measures 36 feet wide and 50 feet long. How many times larger is Sue's lawn than Michael's
lawn?
(A)
(В)
D
10

Answer:

sin 60 = 6 sqrt(3) / a

sqrt(3)/2 = 6 sqrt(3) / a

1/2 = 6/a

a =12

sin 30 = b / a

1/2 = b / 12

b=12/2

b=6

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

P × R × T÷ 100

1,715,760.00×27,396.00×44,604.00÷100

2.096609278659÷100

20,966,092,786,598.4

=31

Answer:

Step-by-step explanation:

The slope of a line that passes through two given points: [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

The equation of the line that passes through given point with a slope of m:  

y - y₁ = m(x - x₁)

Line A:

 [tex]m=\dfrac{-1-5}{3-(-1)}=\dfrac{-6}4=-\dfrac32[/tex]

[tex]y-5=-\frac32(x+1)\\\\y=-\frac32(x+1)+5[/tex]

Line B:

 [tex]m=\dfrac{-1-2}{6-7}=\dfrac{-3}{-1}=3[/tex]

[tex]y-2=3(x-7)\\\\y=3(x-7)+2[/tex]

Point of intersect means the same coordinates x and y.

So:

       [tex]3(x-7)+2=-\frac32(x+1)+5\\\\3x-21+2=-\frac32x-\frac32+5\\\\3x-19=-\frac32x+\frac72\\\\6x-38=3x+7\\\\6x+3x=7+38\\\\9x=45\\\\x=5\\\\y=3(5-7)+2=3(-2)+2=-4[/tex]

Answer:

The cost of the material for the full-sized pad is;

d) 222,750.00

Step-by-step explanation:

The parameters of the steel pad and the scale model are;

The volume of the deck = 18 yd³

The dimensions of the model of the same material = 6 feet by 4.5 feet and 4.5 inches thick

The weight of the sample, m₂ = 75 lbs

The cost of the steel, P = $55/lb

The dimensions of the sample in yards are;

6 feet = 2 yards, 4.5 feet = 1.5 yards, and 4 inches = 0.[tex]\overline 1[/tex] yards

The volume of the sample, V₂ = 2 yd. × 1.5 yd. × 0.[tex]\overline 1[/tex] yd. =  (1/3) yd.³

The density of the sample material, ρ = m₂/V₂

∴ The density of the sample material, ρ = 75 lbs/((1/3)yd.³) = 225 lbs/yd³

Therefore, the density of the material of the pad, ρ = 225 lbs/yd³

The mass of the steel  pad, m₁ = ρ × V₁

∴ The mass of the steel  pad, m₁ = 225 lbs/yd³ × 18 yd³ = 4,050 lbs

The cost of the material for the full-sized steel pad, C = m₁ × P

∴ C = 4,050 lbs × $55/lb = $222,750

Answer:

permiter 68ft

area 204ft²

Step-by-step explanation:

25ft+26ft+17ft=68ft

1/2×17ft×24ft=204ft²

I hope it's help

The course that a rescue ship must take from port in order to reach the disabled ship is 312.4 km at a direction of 50.2⁰.

The sketch of the journey of the ship can be used to determine the course that a rescue ship must take from port in order to reach the disabled ship.

                              <-------- 200 km-------

                               |

                               | 240 km

                              ↓

The displacement of the ship from the initial position is calculated as follows;

d² = 200² + 240²

d² = 97,600

d = √97,600

d = 312.4 km

tanθ = 240/200

tanθ = 1.2

θ = tan⁻¹(1.2)

θ = 50.2⁰

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Answer:

probably C

Step-by-step explanation:

The question can be written as:

8 * 1.032^n = 140 000, this can be rearranged to

140 000/8 = 17500 = 1.032^n

now we need to find n, we could do this manually with a calculator, but an easier method is to use [tex]\log_x(y)[/tex]

example of log

2^3 = 8

log2 (8) = 3

log1.032 (17500) = 310.17

Answer: [tex]\frac{5}{4}\ ft[/tex]

Step-by-step explanation:

Given

Maria kite tail is [tex]3\ \frac{1}{2}\ ft[/tex] long

Max's kite tail is [tex]2\ \frac{1}{4}\ ft[/tex] long

Converting it to a fraction

Maria kite tail

[tex]\Rightarrow \dfrac{3\times2+1}{2}=\dfrac{7}{2}\ ft[/tex]

Max's kite tail

[tex]\Rightarrow \dfrac{2\times4+1}{4}=\dfrac{9}{4}\ ft[/tex]

Difference between lengths

[tex]\Rightarrow \dfrac{7}{2}-\dfrac{9}{4}\\\Rightarrow \dfrac{14-9}{4}=\dfrac{5}{4}\ ft[/tex]

Max's tail is [tex]\frac{5}{4}\ ft[/tex] short than Maria kite tail

Answer:

I think 5 could be wrong tho

Step-by-step explanation:

4x4+3x3=25

✓25

5

Answer:

18 or 14

Step-by-step explanation:

also, can u help me with my recent questin

Answer:

Use photo math, take a picture of the equation, and it will show everything you need to know about it!!!

Answer: The bird would fly 3 meters in 1 second. Have a good day!!

30 divided by 10 is 3. Therefore, 3 is your answer!

Answer:

8 percent

Step-by-step explanation:

2.4/30 = 0.08 or 8%

Answer:

7.) c

8.) 5.9

9.) 8.78

10.) 8.778

if im wrong let me know

Step-by-step explanation:

Answer:

It cannot be modeled with a rectangle.

Step-by-step explanation:

The given expression 2x^2 + 3x +3 cannot be factored.

That means that it cannot be modeled with a rectangle.

So your answer is, It cannot be modeled with a rectangle.

Answer:

It cannot be modeled with a rectangle.

Step-by-step explanation:

Hope this helps

Answer:

D

Line segments are congruent due to the side-angle-side congruence postulate.

Step-by-step explanation:

DC is the perpendicular bisector of line AB, this mean that DC divides AB at 90 degrees into two equal parts at point E. Hence:

AE = BE

Also DE ≅ DE (reflexive property of congruence)

Also ∠AED = ∠BED = 90° (perpendicular bisector)

We can therefore say that triangle AED and triangle BED are congruent according to the side-angle-side congruence theorem. Therefore line AD = line BD

Answer:

Total cost = $4.08

Step-by-step explanation:

Given the following data;

Selling price = $3.4

Shipping and handling fee = 20%

To find the total cost;

First of all, we would determine the extra fee;

Extra fee = 20/100 * 3.4

Extra fee = 68/100

Extra fee = $0.68

Now, we can solve for the total cost using the formula below;

Total cost = selling price + extra fee

Total cost = 3.4 + 0.68

Total cost = $4.08

Answer:

[tex]x=3[/tex]

Step-by-step explanation:

Because this line is parallel to the y-axis, it is a vertical line. This is a special case where the formatting of its equation is different:

[tex]x=d[/tex] where d is the x-intercept, or the value of x when the line crosses the x-axis

We're given that the line passes through the point (3,-5). Because this is a vertical line, the x-coordinates of the points it passes through will always stay the same. Therefore, the x-intercept (d) is 3.

[tex]x=3[/tex]

I hope this helps!

Answer:

[tex]\£3840.2[/tex]

Step-by-step explanation:

Let P denotes principal amount, T denotes time period and R denotes rate of interest.

Amount = [tex]P(1+\frac{R}{100})^T[/tex]

Amir pits £3035 into a bank account. The account pays 4% compound interest each year.

Put [tex]P=\£3035,\,R=4\%,\,T=6[/tex]

Amount = [tex]3035(1+\frac{4}{100})^6=3035(\frac{104}{100})^6=\£3840.2[/tex]

Therefore, Amir will have [tex]\£3840.2[/tex] in the account after 6 years.

Answer:

15% of $67.50 is $10.125 lets round it up to $10.13

Tip: $10.13

Total meal cost: $77.63

Brainly plz :))

Answer:

the waiter 10.13

your parents will pay 77.63

Step-by-step explanation:

67. 50 x 0.15 = 10.13

67.50 + 10.13 = 77.63

hope this helps

Answer:

click the squares its easy and simple

Answer:

y = 7

x = 24

Step-by-step explanation:

When two triangles are similar, the ratio of their corresponding sides are equal

For the bigger triangle we have a total 48; so for the smaller we have x

For the bigger, we have 14, so for the smaller, we have y

Mathematically;

25/x = 50/48

x * 50 = 25 * 48

x = (25 * 48)/50

x = 24

For y;

25/y = 50/14

y = (25 * 14)/50

y = 7

Answer:

48 cubes

Step-by-step explanation:

You could fit these cubes with side lengths of 1/3 cm inside a rectangular prism with dimensions of 1 cm x 2 2/3 cm x 2/3 cm.

Answer:

-3(4 - 6x)

-12 +18x

=18x - 12

Step-by-step explanation:

You multiple the negative 3 with positive 4 to get negative 12.

An you also multiple the negative 3 with negative 6x (a negative multiple a negative changes into positive) giving you 18x as your answer

Based on the test scores of the students, Cindy's z-score on the science test is 2.2

We start by calculating the mean of the scores using:

Mean =Sum/Count

So, we have:

Mean = (75 + 80 + 90 + 100 + 75 + 85 + 80 + 80 + 90 + 85)/10

Mean = 84

Using a statistical calculator, the standard deviation is:

Standard deviation = 7.35

The z-score is then calculated using:

z = (x - mean)/standard deviation

Cindy's score is 100.

So, we have:

z = (100 - 84)/7.35

Evaluate

z = 2.2

Hence, Cindy's z-score on the science test is 2.2

Read more about z-scores at:

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