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
Anestetic [448]
3 years ago
11

The length of the base of a triangle is twice its height. if the area of the triangle is 196 square​ kilometers, find the height

.
Mathematics
2 answers:
denis23 [38]3 years ago
7 0
Hey user!

your answer is here..

ATQ,

the length of the base of the triangle is twice it's height.

let the height of the triangle be x.

therefore base of the triangle is 2x.

given area of the triangle = 196km²

==> 1/2 × b × h = 196km²

==> 1/2 × 2x × x = 196km²

==> x × x = 196km²

==> x² = 196km²

==> x = √196

==> x = 14

hence, height of the triangle = x = 14km

base of the triangle = 2x = 2 × 14 = 28km

VERIFICATION :-

area of the triangle = 1/2 × b × h

= 1/2 × 14 × 28

= 7 × 28

= 196km²

hence verified..

cheers!!
NISA [10]3 years ago
4 0
Area = 1/2 x base x height

Let the height be x.
Height = x
Base = 2x

Area of triangle = 1/2 x base x  heght

Plug base and height into the variables:
(1/2)(2x)(x) = 196

Combine like terms:
x² = 196

Square root both sides:
x = 14

Find Base and height:
Base = x = 14 km
Height = 2x = 2(14) = 28 km

Answer: Height = 28km
You might be interested in
7. Certain car manufacturers install a gauge that tells the driver how many miles they can drive
nalin [4]

Answer:

A) Slope - 1.1889. The Predicted distance the drivers were able to drive increases by 1.1889

Step-by-step explanation:

5 0
3 years ago
What is the equation of the line that passes through the point (8, -4) and<br> has a slope of 1/2
Eva8 [605]

Answer:

y = \frac{1}{2}x - 8

Step-by-step explanation:

1. Approach,

For this problem, the format of a line that will be used is, slope-intercept form;

y = mx + b

Where (m) is the slope of the line, also known as the change in the line and (b) is the y-intercept, or where the graph of the line intersects the y-axis. Since, in this problem, the slope of the line is given, all one has to do is substitute in a point on the given line and solve.

2. Finding the equation,

In this problem, the slope of the line is given. Therefore, to solve this problem, all one has to do is substitute in a point on the given line and solve.

y = mx + b

Substitute in the slope,

y = \frac{1}{2}x + b

Substitute in the point,

-4 = \frac{1}{2}(8) + b

Simplify,

-4 = 4 + b

Inverse operations,

-4 = 4 + b\\-4\\\\-8 = b

3. Putting it all together,

Now, that one has y-intercept, (-8); use the given slope and the formula y = mx + b,  substitute in all the information.

y = \frac{1}{2}x - 8

7 0
3 years ago
I need the correct answer please i’ll give u a brainliest
sasho [114]

Answer:

V=75.4 m^3

Step-by-step explanation:

V=pi*r^2*h

V=pi*2^2*6

V=4*6*pi

V=24*pi

V=75.39 or 75.4 m^3

6 0
2 years ago
A sample with which of these variances has a standard deviation that is greater than the variance
KIM [24]
Hello.

The answer is 

C.0.5 

the standard is .50 and all of the other options are larger so it would be c.

Have a nice day
8 0
3 years ago
Read 2 more answers
A sample of 66 obese adults was put on a low-carb diet for a year. The average weight loss was 11 pounds and the standard deviat
Illusion [34]

Answer:

The 99% lower confidence bound for the true average weight loss is 3.98 pounds.

This means that we can be 99% sure that the mean weight loss for all obese adults on a low-carb diet is positive.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.99}{2} = 0.005

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.005 = 0.995, so z = 2.575

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 2.575*\frac{19}{\sqrt{66}} = 6.02

The lower end of the interval is the sample mean subtracted by M. So it is 11 - 6.02 = 3.98 pounds

The 99% lower confidence bound for the true average weight loss is 3.98 pounds.

This means that we can be 99% sure that the mean weight loss for all obese adults on a low-carb diet is positive.

7 0
3 years ago
Read 2 more answers
Other questions:
  • Solve for the variable.
    6·1 answer
  • I need the answer ASAP
    15·1 answer
  • Morgan, Dakota and Taylor showed their work solving the equation 7x+5x+1=73. Identify the student with the invalid first step an
    10·2 answers
  • A line that includes the points (9,
    6·1 answer
  • Given that k ∥ l, identify the congruent angles in the triangles.<br><br> ∠1≅ <br> ∠2≅ <br> ∠3≅
    10·2 answers
  • Line k is parallel to line l. Lines k and l are parallel. Lines m and n intersect to form 2 triangles. The top triangle has angl
    8·2 answers
  • What is the equation of the absolute function shown in the graph?
    7·1 answer
  • Helppp will give brainlest to whoever answers
    15·1 answer
  • I have a Lego model. The Lego model is a 1:25 scale. This means that 1 unit on the model is 25 units in reality. If my model is
    15·1 answer
  • Use a number line to find the product.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!