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3 years ago

What is the area of the figure?

Mathematics

1 answer:

morpeh [17]3 years ago

8 0

Answer:

80 square feet

Step-by-step explanation:

You can split it into a rectangle and a triangle. The area of the rectangle would be 2 * 16 = 32 square feet.

Next, you need to find the height of the triangle. To do this, you can split the triangle into two right triangles and use the pythagorean theorem to find the height. The dimensions of one of the right triangle is 8 for one of the legs and 10 for the hypotenuse. Using the pythagorean theorem, 8^2 + b^2 = 10^2, which is 64 + b^2 = 100, so b^2 = 36 and b = 6. This means that the height is 6. Now, you find the area of the triangle and you get 16 * 6 / 2 = 48.

Adding the area of the rectangle and the triangle: 32 + 48 = 80

Not sure why that's not an answer choice, I'm fairly confident it's right.

You might be interested in

Complete the proof for the following conjecture.

Ray Of Light [21]

Answer:

Statements Reasons

AC+CD=AD and AB+BD=AD Segment Addition Postulate

AC+CD=AB+BD Transitive/Substitution Property

AC=BD Given

BD+CD=AB+BD Substitution Property

CD=AB Subtraction Property

AB=CD Symmetric Property

Step-by-step explanation:

By segment addition postulate, we can say the following two equations:

AC+CD=AD and AB+BD=AD.

By either substitution/transitive property, you can say AC+CD=AB+BD.

You are given AC=BD, so we use substitution and write AC+CD=AB+AC.

After using subtraction property (subtracting both sides by AC), you obtain CD=AB.

By symmetric property, you may say AB=CD.

So let's write it into the 2 column-proof you have there:

Statements Reasons

AC+CD=AD and AB+BD=AD Segment Addition Postulate

AC+CD=AB+BD Transitive/Substitution Property

AC=BD Given

BD+CD=AB+BD Substitution Property

CD=AB Subtraction Property

AB=CD Symmetric Property

Properties/Postulates used:

Transitive property which says:

If a=b and b=c, then a=c.

Substitution property which says:

If a=b, then b can be substituted(replaced with) for a.

Subtraction property which says:

a=b implies a-c=b-c.

Segment Addition Postulate says:

If you break a segment into two smaller pieces then the measurement of that segment is equal to the sum of the smaller two segments' measurements.

3 0

3 years ago

The value of a car is expected to decrease exponentially. Which formula can you use to predict the value of the car for a given

IgorLugansk [536]

Hey there!

When the value of something goes down over time- a house, a car, anything- it's called depreciation.

It would be expressed as exponential decay. This is because the value is going down exponentially as stated in the problem. Additionally, when it decays, the growth factor is less than one, so the value steadily decreases.

Let's rule out our other options:

B) Half-Life. This doesn't work because it's usually used for radioactive decay, which is usually a steady decrease of radioactivity and material that divides by two, hence the word half. For example:

Day 0) Started with 10 grams of plutonium
Day 1) 5 grams
Day 2) 2.5 grams

And so on.

C) Compound Interest. Like simple interest, but compunds usually at a certain point - yearly, monthly, every ten years, and so on. But, this is used for interest, mostly in a bank account or if you have a loan. It doesn't exhibit depreciation, and therefore it's not used to predict car value.

D) Exponential Growth- Exponential growth does not work for one main reason - it grows. That would mean that the value of the car goes up- and unless it's an old and very expensive car, that wouldn't be the case.

Hope this helps!

5 0

3 years ago

Jerry sold 7/20 of the toral number of tickets that we're sold for the spring band concert

Juli2301 [7.4K]

Question is Incomplete;Complete question is given below;

Jerry sold 7/20 of the total number of tickets that were sold for the spring band concert. What percent of the total number of tickets did jerry sell.

Answer:

Jerry sold 35 % of the total tickets.

Step-by-step explanation:

Given:

Jerry sold tickets = $\frac{7}{20}$ of total number of tickets

We need to find the percent of the total number of tickets Jerry sold.

Solution:

to find the percent of the total number of tickets Jerry sold we need to multiply the fraction by 100 we get;

framing in equation form we get;

Percent of the total number of tickets Jerry sold = $\frac{7}{20}\times100 = 35\%$

Hence Jerry sold 35 % of the total tickets.

5 0

3 years ago

A 12 foot ladder is leaning up against a wall. If the angel made between the ladder and the ground is 80 degrees. How far up can

lorasvet [3.4K]

Answer:

Step-by-step explanation:

Given

Length of the ladder = 12foot

angle of elevation = 80 degrees

Required

Height of the wall (opposite side)

The set up will form a right angled triangle where

length of the ladder is the hypotenuse

height of the wall is opposite;

Using SOH, CAH, TOA trig identity

According to SOH

sin 80 = opp/hyp

sin80 = opp/12

opp = 12sin80

opp = 11.82 feet

Hence the height of the wall is 11.8feet (to the nearest tenth)

5 0

3 years ago

If the m∠1=123° m ∠ 1 = 123 ° and m∠2= (2x+7)° m ∠ 2 = ( 2 x + 7 ) ° , determine the value of x that supports l∥m l ∥ m . Show y

Georgia [21]

Answer:

Step-by-step explanation:

Let us assume that m<1 nad m<2 are supplementary. Since the sum of supplementary angles is 180degrees, hence;

<1 + <2= 180

123+2x+7 = 180

130+2x = 180

2x = 180 - 130

2x = 50

x = 50/2

x = 25

Hence the value of x is 25

5 0

2 years ago