1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Rina8888 [55]
3 years ago
14

Identify the area of the trapezoid.

Mathematics
1 answer:
Vlad1618 [11]3 years ago
4 0

Option B: The area of the trapezoid is 157.5 m²

Explanation:

We need to determine the area of the trapezoid.

The area of the trapezoid can be determined by the formula,

Area=\frac{h}{2} (a+b)

where h is the height, a and b are the base of the trapezoid.

From the figure, it is obvious that a=14 , b=7 and h=15

Substituting these values in the formula, we have,

Area=\frac{15}{2} (14+7)

Simplifying the terms, we have,

Area=\frac{15}{2} (21)

Multiplying the terms in the numerator, we have,

Area=\frac{315}{2}

Dividing, we get,

Area= 157.5 \ m^2

Thus, the area of the trapezoid is 157.5 m²

Hence, Option B is the correct answer.

You might be interested in
Put these over a common denominator 3/5 4/7?
Rama09 [41]
We can pick a common denominator by multiplying.

3*7/5*7= 21/35

4*5/7*5= 20/35

We have our common denom is 15.

Our fractions: 21/35 and 20/35
7 0
3 years ago
Read 2 more answers
Given the exponential equation, 3=18. Which of the equationsbelow will solve for x?
Zinaida [17]

Answer:

if you are evaluating this claim is false

7 0
3 years ago
Can someone help me with this, please? I'm not sure how to solve this.
bazaltina [42]

Answer:

11.) 10w^2 + 43w + 21.

12.) -15y^2 - 2y + 8

Check the explanation for details

Step-by-step explanation:

11.) You are meant to multiply each row by both columns. For instance, multiply 5w by 2w and 7 you will get 10 w^2 and 35 w

Also, multiply 3 by both 2w and 7 you will get 6w and 21. Therefore,

Expansion of ( 5w + 3 )( 2w + 7 ) will produce 10w^2 + 37w + 6w + 21

= 10w^2 + 43w + 21.

12.) Repeat the same process by multiplying row by column.

Multiply -3y by 5y and 4 you will get -15y^2 and -12y.

Also, multiply 2 by same 5y and 4. You will get 10y and 8

Therefore, the expansion of

( -3y + 2 )( 5y + 4 ) will be

-15y^2 - 12y + 10y + 8

-15y^2 - 2y + 8

4 0
3 years ago
Can someone also explain how to get the answer thank u
goblinko [34]

Answer:

m = -\frac{194}{3}

Step-by-step explanation:

I'm assuming you are trying to find m. In order to do so, you need to get m on one side.

Before doing that let's multiple -2 and -3m by \frac{4}{3}

256=-\frac{8}{3} - 4m

add -\frac{8}{3} to both sides

258\frac{2}{3}=-4m

I would get rid of the fraction so I'd multiply both sides by \frac{3}{1}

\frac{776}{3}*3 = 4m*3

776=-12m

divide both sides by -12m

m = -\frac{776}{12}

which can be simplified to

m = -\frac{194}{3}

ALL UNLESS THAT \frac{4}{3} IS A POWER

3 0
2 years ago
How do you convert a location as a decimal into degrees, minutes , and then seconds. Like 46.19*North and 122.19*West
jonny [76]
Degrees are the units of measurement for angles.
There are 360 degrees in any circle, and one
degree is equal to 1/360 of the complete
rotation of a circle.

360 may seem to be an unusual number to use, but this part
of math was developed in the ancient Middle East. During
that era, the calendar was based on 360 days in a year, and
one degree was equal to one day.

* Fractions of Degrees

There are two methods of expressing fractions of degrees.
The first method divides each degree into 60 minutes (1° = 60'), then each minute into 60 seconds (1' = 60").
For example, you may see the degrees of an angle stated like this: 37° 42' 17"

The symbol for degrees is ° , for minutes is ', and for seconds is ".

The second method states the fraction as a decimal of a degree. This is the method we will use.
An example is 37° 42' 17" expressed as 37.7047° .

_____________________________________

Most scientific calculators can display degrees both ways. The key for degrees on my calculator looks like ° ' ", but the key on another brand may look like DMS. You will need to refer to your calculator manual to determine the correct keys for degrees. Most calculators display answers in the form of degrees and a decimal of a degree.
_____________________________________
It is seldom necessary to convert from minutes and seconds to decimals or vice versa; however, if you use the function tables of many trade manuals, it is necessary. Some tables show the fractions of degrees in minutes and seconds (DMS) rather than decimals (DD). In order to calculate using the different function tables, you must be able to convert the fractions to either format.
* Converting Degrees, Minutes, & Seconds to Degrees & Decimals

To convert degrees, minutes, and seconds (DMS) to degrees and decimals of a degree (DD):
First: Convert the seconds to a fraction.
Since there are 60 seconds in each minute, 37° 42' 17" can be expressed as
37° 42 17/60'. Convert to 37° 42.2833'.
Second: Convert the minutes to a fraction.
Since there are 60 minutes in each degree, 37° 42.2833' can be expressed as
37 42.2833/60° . Convert to 37.7047° .

Degree practice 1: Convert these DMS to the DD form. Round off to four decimal places.

(1) 89° 11' 15" (5) 42° 24' 53"
(2) 12° 15' 0" (6) 38° 42' 25"
(3) 33° 30' (7) 29° 30' 30"
(4) 71° 0' 30" (8) 0° 49' 49"
Answers.
* Converting Degrees & Decimals to Degrees, Minutes, & Seconds

To convert degrees and decimals of degrees (DD) to degrees, minutes, and seconds (DMS), referse the previous process.
First: Subtract the whole degrees. Convert the fraction to minutes. Multiply the decimal of a degree by 60 (the number of minutes in a degree). The whole number of the answer is the whole minutes.
Second: Subtract the whole minutes from the answer.
Third: Convert the decimal number remaining (from minutes) to seconds. Multiply the decimal by 60 (the number of seconds in a minute). The whole number of the answer is the whole seconds.
Fourth: If there is a decimal remaining, write that down as the decimal of a second.
Example: Convert 5.23456° to DMS.

5.23456° - 5° = 023456° 5° is the whole degrees
0.23456° x 60' per degree = 14.0736' 14 is the whole minutes
0.0736' x 60" per minutes = 4.416" 4.416" is the seconds
DMS is stated as 5° 14' 4.416"
5 0
3 years ago
Other questions:
  • The distribution of the amount of money spent by students on textbooks in a semester is approximately normal in shape with a mea
    12·1 answer
  • Please helpp geometry (click for picture)
    8·1 answer
  • The Martin family's truck gets an average of 25 miles per gallon. Predict how many miles they can drive using 7 gallons of gas.
    10·2 answers
  • Can you please belp me solve 100÷ 4,031.2
    10·2 answers
  • A businessman buys 1440 dozen pens at £2.50a dozen and sell them at price of 25 cent a piece.what is his total profit on the lot
    8·1 answer
  • carly walks 30 feet in seven seconds. At this rate, how many minutes will it take for carly to walk a mile if there are 5,280 fe
    9·1 answer
  • HELPP PLSSSS NO BOTS OR I WILL REPORT!!!
    14·1 answer
  • Rectangle measures 2 1/4 meters 1 7/8 meters what is its area<br> Plss help
    7·1 answer
  • Evaluate the equation. d - 4.12 = 12.8
    15·2 answers
  • How far does the peguin walk in 45 seconds
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!