A pole that is 3.5 m tall casts a shadow that is 1.66 m long. At the same time, a nearby building casts a shadow that is 4.5 m long. How tall is the building?

Answer:

x = 70°

Step-by-step explanation:

The external angle of a triangle is equal to the sum of the 2 opposite interior angles.

120° is an external angle of the triangle, thus

x + 50 = 120 ( subtract 50 from both sides )

x = 70

Answer: $50.00

Step-by-step explanation:

Org. Price- $40.00

10% - $4.00

1% - $0.40

8% - $3.20

Tax - $3.20

10% + 8% - 1% = 17%

4.00 + 3.20 - 0.40 = 6.80

Tip - $6.80

$40.00 + $3.20 + $6.80 = $50.00

The solution on the graph is the coordinate of the point where both lines intersect

Given the equation of two lines expessed as;

y = -3x + 3 and y = 12 x - 4

Since both expressions ara y values, equating both will give;

-3x + 3 = 12x - 4

-3x - 12x = -4 - 3

-15x = -7

x = 7/15

Substitute x = 7/15 into any of the equatons;

y = -3x + 3

y = -3(7/15) + 3

y = -7/5 + 3

y = 8/5

Hence the solution as an ordered pair is (7/15, 8/15)

The solution on the graph is the coordinate of the point where both lines intersect as shown in the graph below;

Learn more on graphs here: https://brainly.com/question/18872003

Answer:

so if all of the awnsers are whole numbers it is going to be 12/12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Unit rate is a rate that has 1 as denominator.

Given the rate: 6 inches / 12 hours, we have to divide numerator and denominator by 12 to transform the denominator in 1, as follows:

[tex]\frac{6}{12} = \frac{6/12}{12/12} =[/tex] 0.5 inches/hour

Answer:

No Solution.

Step-by-step explanation:

3x-7=3x+1

3x-3x-7=1

0-7=1

-7=1

no solution

Answer:

The exact volume of a cone is 10 yd³.

Step-by-step explanation:

Given:

Height of cone (h) is 6 yd and base (b) is 5 yd.

Now, to get the volume we need to find the radius.

So, to find radius we put the formula of base:

Let the radius be [tex]r[/tex]

Base=[tex]\pi r^2[/tex]

[tex]b=\pi\times r^{2}[/tex]

[tex]5=\pi\times r^{2}[/tex]

Dividing both sides by π and using square root on both the sides:

[tex]5\div \pi=(\pi \times r^{2}) \div \pi[/tex]

[tex]\frac{5}{\pi}=r^{2}[/tex]

[tex]\frac{5}{\pi}=r^{2}[/tex]

[tex]r^{2}=\frac{5}{\pi}-----1[/tex]

Now, putting the formula for getting the volume (v) of cone:

Volume = [tex]\pi r^2\frac{h}{3}[/tex]

[tex]v=\pi\times r^{2}\times \frac{6}{3}[/tex]

[tex]v=\pi\times r^{2}\times 2[/tex]

Substituting the value of [tex]r^2[/tex] from equation (1), we get:

[tex]v=\pi\times \frac{5}{\pi}\times 2[/tex]

[tex]v=10[/tex] yd³

Volume of cone is 10 yd³

Therefore, the exact volume of a cone is 10 yd³.

Answer:

66.67%

Step-by-step explanation:

Marie's earnings at a new job : $15 per hour

Her earnings during training : $10 per hour

percentage of Marie's regular rate earned by her during training

                 = [tex]\frac{Her\ earnings\ during\ training}{Her earning\ at\ a\ new\ job}[/tex]×100

                 = [tex]\frac{10}{15}[/tex]×100

                 = [tex]\frac{200}{3}[/tex]

                 = 66.67%

∴percentage of Marie's regular rate earned by her during training = 66.67%

Final answer:

To find what percentage of Marie's regular rate she will earn during training, divide her training rate by her regular rate and multiply by 100%.

Explanation:

Marie will earn $10 per hour during training. Her regular rate is $15 per hour. To calculate what percentage of her regular rate she will earn during training, we use the formula: percentage = (training rate / regular rate) * 100%. Plugging in the values, we get (10 / 15) * 100% = 66.67%. Therefore, Marie will earn 66.67% of her regular rate during training.

Answer:

A. 2- i

Step-by-step explanation:

Answer:

2 + i

Step-by-step explanation:

Answer:

slope is 1 and y-intercept is 3

Step-by-step explanation:

equation is in the format y=mx+c

c = y-intercept

m = slope

if there is no  number in front of x it is assumed that 1 is in front of x

Answer:

The slope is 1 and the y-intercept is 3

Step-by-step explanation:

y = x+3 has the form y = mx + b.  If we compare these two equations, it becomes readily apparent that m = 1 and b = 3.

The slope is 1 and the y-intercept is 3 (or    (0, 3)     )

Answer:

24 : 8 ≡ 39 : 13

Step-by-step explanation:

We are given two proportion relation and we have to determine whether they are equivalent or not.

Now, the first proportion is 24 : 8

So, the simplified proportion will be 24 : 8 = 8 × 3 : 8 = 3 : 1

Again the second proportion is 39 : 13

So, the simplified proportion is 39 : 13 = 13 × 3 : 13 = 3 : 1

Therefore, the two given proportions are equivalent i.e. 24 : 8 ≡ 39 : 13. (Answer)

Answer:

[tex]x=16[/tex]

 Lenght of the equal sides: [tex]71\ units[/tex]

Step-by-step explanation:

You can observe in the picture that the triangle have two angles that have equal measure; therefore, it is an Isosceles triangle.

By definition, Isosceles triangles have two equal angles and two equal sides.

Based on this, you can write the following equation:

[tex]9x-73=3x+23[/tex]

Solving for "x", you get this value:

[tex]9x-3x=23+73\\\\6x=96\\\\x=\frac{96}{6}\\\\x=16[/tex]

Finally, you can subsitute the value of "x" into any expression to find the lenght of the equal sides:

[tex]3(16)+23=71\ units[/tex]

7.

y + 8x = -2

f(x) = y = -8x - 2

f(0)=-2, f(1)=-10, f(2)=-18, f(-2)=14

8.

12x + 3y = 15

3y = -12x + 15

f(x) = y = -4x + 5

f(-1)=9, f(0)=5, f(1)=1

9.

y - 3x = 9

f(x) = y = 3x + 9

f(-2)=3, f(0)=9, f(2)=15

10.

0.4y + 2x = 1.2

4y + 20x = 12

4y = -20x + 12

f(x) = y = -5x + 3

f(-3) = 18, f(0)=3

You first add 92+20. You will get 112. So 112 seashells collected.

A graph of the line with slope 2/5 and passing through the point (-2, 4) is shown on the coordinate plane in the image below.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

[tex]y - y_1 = m(x - x_1)[/tex]

Where:

At data point (-2, 4) and a slope of 2/5, an equation for this line can be calculated by using the point-slope form as follows:

[tex]y - y_1 = m(x - x_1)[/tex]

y -  4 = 2/5(x - (-2))  

y -  4 = 2/5(x + 2)

y = 2/5(x) + 4/5 + 4

y = 2/5(x) + 24/5

Read more on point-slope here: brainly.com/question/24907633

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Answer:

A = 1/3b

Step-by-step explanation:

Divide each side by 12b to isolate the variable "a". This leaves a = 4/12b. This can be simplified to 1/3b.

Steps to solve:

12ab/12b = 4/12b (Divide 12/b to both sides)

a = 4/12b

a = 1/3b (Answer)

______

Best Regards,

Wolfyy :)

Answer:

14 +(9×x) = y x being the number of pizzas that are not the first one and y is the amount it all cost

Answer:

See explanation below:

Step-by-step explanation:

Here we want to express the number of pizza delivered. Lets try to understand the case.

If we buy one pizza (p1) the cost is 14 because of the delivery plus 9 for the cost of the pizza. So:

p1 = 14 + 9 = 23

If we buy 2 pizzas (p2) we have to pay 14 for the delivery and 9 for each pizza:

p2 = 14 + 9 + 9 = 14 + 2*9 = 32

If 3 pizzas are bought (p3) the reasoning is the same, 14 for the delivery and 9 for each pizza:

p3 = 14 + 9 + 9 + 9 = 14 + 3*9 = 41

Here we can see a pattern: for any amount of pizzas n the cost will be 14 plus n-times 9, the price of a pizza. It is:

pn = 14 + 9*n

But we can separate the last equation in such a way:

pn = 14 + 9*(n-1) + 9 , as 9*(n-1) + 9 = 9*n

But if our general formula it true, the first to terms on the right are the vost of buying n-1 pizzas, so:

pn = pn-1 + 9

We can keep on separating terms as we did to arrive to this form, this is, separating the 9n in  9*(n-2) + 9*2,  9*(n-3) + 9*3, ...,  9*(n-m) + 9*m for any m < n . Here I will keep pn = pn-1 + 9 as the Recursive Formula, but you could use other formulation with, e.g., pn-2, pn-3, etc, using the above recursion.

Now, the explicit formula is such that gives as the value of any amount, finding all the terms of the sequence with those not depending on previous terms (contrary to the recursive). This formula was showed above and is: pn = 14 + 9*n. This is, given any number of pizzas we can find the cost without knowing the cost of previous values.

So, we have:

Recursive: pn = pn-1 + 9

Explicit: pn = 14 + 9*n

Answer: 2/6 or 1/3

Step-by-step explanation:

2/3 = 4/6. 1 /6 Two times is 2/6 so by subtracting you should get 2/6 or 1/3

Answer:240 km

Step-by-step explanation: 600 ÷5 = 120, 120 × 2 = 240 km

I think that's the answer I'm not sure but hope this helps ;)

Answer: 275

Step-by-step explanation:

Let the total number of hamburger be x and the total number of cheeseburgers be y. That is

x + y = 500 ................... equation 1

Since there were 50 fewer cheeseburgers sold than hamburgers, this means that the number of hamburgers sold is more than cheeseburgers by 50 , that is

x - y = 50 ............. equation 2

solving the resulting linear equation by substitution method;

From equation 2 , make x the subject of the formula , that is

x = 50 + y ................ equation 3

substitute equation 3 into equation 1 , we have

50 + y + y = 500

50 + 2y = 500

2y = 500 - 50

2y = 450

y = 450/2

y = 225

substitute y = 225 into equation 3 to find the value of x. we have

x = 50 + y

x = 50 + 225

x = 275

Therefore 275 hamburgers were sold

Answer:

Step-by-step explanation:

i think its 500%

but im not sure

because 20 divided by 4 = 5

and 5.0 = 500%

Answer:

 The percent change is 400%

Explanation:

We know that percentage change is given by the

[tex]\frac{change in value}{absolute value of the original value} \times 100[/tex]

i.e we find the difference between the original value and current value and then divide it by original value and multiply the obtained value with 100.

a negative percentage change indicates increase in value.

so we get 4 - 20 = -16

[tex]\frac{-16}{4}[/tex] = -4

[tex]-4 \times[/tex] 100 = -400

hence there is an increase of 400% in the percentage which is the required percentage.

Answer:lll(3) Quadrant lll

Step-by-step explanation:Quadrant 3 is the quadrant where the imaginary part of a number and the real part of a number are both negative and in this number they both are.

Answer:

Step-by-step explanation:The sum of three consecutive odd numbers is 183. Find the numbers. 57; 59; 67 59; 61; 63 60; 61; 62 65; 67; 69.

Answer:

h=24

Step-by-step explanation:

h/2+3=3(h/4-1)

h/2+3=3h/4-3

h/2-3h/4=-3-3

2h/4-3h/4=-6

-h/4=-6

-h=-6*4

-h=-24

h=24

Answer:

12x + 18y

Step-by-step explanation:

Lets first write the quantity "two x plus three y", this means, that we have x and y as unknowns. x is 2 times, so we have 2x; and y is 3 times, so he have 3y:

2x + 3y

Additionally we have that this quantity is six times, what means that it is multiplied by a number 6:

6(2x +3y)

If you like, we can apply the distributive property that means that given any three numbers a, b, c we have that a(b+c)=ab + ac. In our case a is 6, b is 2x and c is 3y. Thus, operating:

6(2x +3y) = 6*2x + 6*3y = 12x + 18y

So, "six times the quantity two x plus three y" is 12x + 18y

Answer:

A=28.25 is the rounded form of the answer.

A = 28.245673384359 in^2

Answer:

Area: 28.25

Step-by-step explanation:

Area = Circumference^2

4 (pi)

18.84^2 = 354.9456

4(pi) = 12.5663706144

354.9456 ÷ 12.5663706144 = 28.2456733843

Rounded to the nearest hundreth, the 5 in the thousandths place converts the 4 in the hundreths place into 5.

Answer: 7.) Wrong Question

8.) 8

(9.) - 2

Step-by-step explanation:

7.) 10n - 11 = 3 + 4n + 6n

Collect like terms

10n - 4n - 6n = 3 + 11

10n - 10n = 14

It's not possible to have zero n = 14

8.) -8(k + 4) = - 96

Exland the bracket

-8k - 32 = - 96

Collect like terms

-8k = - 96 + 32

-8k = - 64

Divide through by -8

-8k/-8 = - 64/-8

k = 8

9.) -6(2k + 5) + 7k = -6 + 7k

Open the bracket

-12k - 30 +7k = -6 + 7k

Collect like terms

-12k + 7k - 7k = - 6 + 30

-12k = 24

Divide both sides by -12

-12k/-12 = 24/-12

k = -2

Answer:

X= 0

Step-by-step explanation:

Answer:

I am not sure what you mean by same line but a CO planar point have to both share the same plane so not necessarily the same ray or line segment but it has to be on the same plane

Step-by-step explanation:

Answer:

Gas mileage is the number of miles you can drive

Gas mileage is the number of miles you can drive on a gallon of gasoline. A test of a new car results in 600 miles on 20 gallons of gas.

Step-by-step explanation:

Plzzz give me brainllest