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
Tasya [4]
3 years ago
14

How to find the area

Mathematics
2 answers:
statuscvo [17]3 years ago
7 0
You multiply length times width or base times height.
slamgirl [31]3 years ago
5 0

For a complete understanding of the question please find the diagram in the file attached.

In the diagram a perpendicular DP is dropped from D on AB as shown.

It is given that \angle A=45^{\circ} and that \angle B=90^{\circ}. Thus, the \angle C=45^{\circ}. This is because we know that the interior angles of any triangle add up to make 180^{\circ}.

Thus, \Delta CDP gives:

tan(\angle C)=\frac{DP}{CP}

tan(45^{\circ})=\frac{5}{CP}

\therefore CP=\frac{5}{tan(45^{\circ})}=\frac{5}{1}=5

Thus, PB=CB-CP=15-5=10

Now, since, DE\parallel CB, then by corresponding angles, \angle D=45^{\circ}

Also, we note that DE=PB=10

Thus, in \Delta ADE,

tan(\angle D)=\frac{AE}{DE}

tan(45^{\circ})=\frac{AE}{10}

\therefore AE=10\times tan(45^{\circ})=10\times 1=10

Thus, now to find the area of the triangle \Delta ADE all that we have to do is use the Area formula as:

Area=\frac{1}{2} x base x height =\frac{1}{2}\times 10\times 10=50 square units


You might be interested in
What is the quotient to four dived by fifty
allsm [11]
0.08 if 4 divided by 50
12.5 if 50 divided by 4
8 0
2 years ago
Read 2 more answers
a snowplow has maximum speed of 40 miles per hour on a dry highway. It's maximum speed decreases by 1.2 miles per hour for every
vova2212 [387]

Step-by-step explanation:

The snowplow's speed is 40 mph minus the loss from the snow, which is 1.2 mph times the depth of snow in inches.

y = 40 − 1.2x

When y = 0:

0 = 40 − 1.2x

1.2x = 40

x = 33 ⅓

The snowplow stops moving when the snow is 33 ⅓ inches deep or more.

8 0
3 years ago
Please answer this question only if you know the answer! 25 points and brainliest!
tankabanditka [31]

The rotational order is the number of times it can rotate upon itself.

This means the shape has 9 sides.

360 /9 = 40 degrees

7 0
3 years ago
In the figure shown, BC is parallel to
arlik [135]

Answer:

52 units.

Step-by-step explanation:

If we drop a perpendicular line from point C to AD and call the point ( on AD) E we have a right triangle CED.

Now CE = 6 and as the whole figure is symmetrical about the dashed line,

ED = (26 - 10)/2

= 8.

So by Pythagoras:

CD^2 = 6^2 + 8^2 = 100

CD = 10.

So, as AB = CD,

the perimeter = 10 + 26 + 2(8)

= 52.

5 0
2 years ago
Marine biologists have been studying the effects of acidification of the oceans on weights of male baluga whales in the Arctic O
PSYCHO15rus [73]

Answer:

c. 61.25 kg

Step-by-step explanation:

The margin of error in estimating the true mean weight of male baluga whales in the Artic Ocean.

a. 15.31 kg

b. 51.40 kg

c. 61.25 kg

d. 80.49 kg

Margin of Error Formula= z × Standard deviation/√n

95% confidence interval = 1.96

Standard deviation = 125kg

n = 16 samples

Margin of error= 1.96 × 125/√16

= 1.96 × 125/4

= 245/4

= 61.25kg

The margin of error in estimating the true mean weight of male baluga whales in the Artic Ocean is 61.25kg

6 0
3 years ago
Other questions:
  • Evaluate the expression 2m+2n if m=9 and n=3
    8·2 answers
  • Which expression is equivalent to<br> 3(2x+ 5), no matter what value is substituted in for x
    7·1 answer
  • Which of the following is true about the graph of f(x)=7^x
    8·1 answer
  • Solve for x.<br> 4x - 14<br> x + 85<br> x = [?]
    11·1 answer
  • In the isosceles trapezoid shown, GJ = 5, HI = 9, and GI = 8.6. Determine the length<br><br> of HJ.
    11·1 answer
  • WILL MARK AS BRAINLIEST PLEASE HELP!!!
    8·2 answers
  • I need help can someone help? Please
    8·2 answers
  • ES LA OPERACION DE MOVER LOS EJES COORDENADOS EN EL PLANO COORDENADO A UNA POSICION DIFERENTE, MANTENIENDOLOS PARALELOS A LOS OR
    14·1 answer
  • Suppose demand d for a company's product at cost x is predicted by the
    9·1 answer
  • The length of a rectangular frame is represented by the expression 2x 4, and the width of the rectangular frame is represented b
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!