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
Sonja [21]
3 years ago
13

Find the area of the trapezoid.

Mathematics
1 answer:
Usimov [2.4K]3 years ago
4 0

Answer:

\large\boxed{A=54\ m^2}

Step-by-step explanation:

The formula of an area of a trapezoid:

A=\dfrac{b_1+b_2}{2}\cdor h

<em>b₁, b₂</em> - <em>bases</em>

<em>h</em><em> - height</em>

We must use the Pythagorean theorem:

x^2+8^2=10^2

x^2+64=100              <em>subtract 64 from both sides</em>

x^2=36\to x=\sqrt{36}\\\\x=6\ m

We have <em>b₁ = 6 + 6 = 12m</em>, <em>b₂ = 6m</em> and <em>h = 8m</em>.

Substitute:

A=\dfrac{12+6}{2}\cdot6=\dfrac{18}{2}\cdot6=(9)(6)=54\ m^2

You might be interested in
Find two numbers that multiply to -56 and add to -1
katrin [286]

Answer:

-8 and 7

Step-by-step explanation:

-8×7=-56 and -8+7=-1

7 0
2 years ago
In a study relating the degree of warping, in mm, of a copper plate (y) to temperature in °C (x), the following summary statisti
kipiarov [429]

Answer:

The error sum of squares is SSE=12.97

The regression sum of squares is SSR=6.430

The total sum of squares is SST=19.4

Step-by-step explanation:

Linear regression is a way "to modeling the relationship between a scalar response (or dependent variable) and one or more explanatory variables (or independent variables)".

Regression estimates are "used to describe data and to explain the relationship between one dependent variable and one or more independent variables"

The linear model is given by the following equation Y=mx +b, where y is the dependent variable, x the independent variable, m the slope and b the intercept.

For this case we have the following info given:

\sum_{i=1}^n (x_i -\bar x)^2 =98775

\sum_{i=1}^n (y_i -\bar y)^2 =19.4

\bar x =26.36

\bar y =0.5188

n= 40  represent the sample size

\sum_{i=1}^n (x_i -\bar x)(y_i -\bar y) =796.94

The total sum of squares is given by this formula:

SST= \sum_{i=1}^n (y_i -\bar y)^2 =19.4

And from the formulas for a simple regression, we need to calculate the slope for the regression like this:

m=\frac{\sum_{i=1}^n (x_i -\bar x)(y_i -\bar y)}{\sum_{i=1}^n (x_i -\bar x)^2}

And if we replace the values given we have:

m=\frac{796.94}{98775}=0.008068

We have another useful equation in order to find the sum of squares for the regression, given by:

SSR=m* \sum_{i=1}^n (x_i -\bar x)(y_i -\bar y)=0.008068*796.94=6.430

And we know this equivalence:

SST= SSR+SSE

And solving for the sum of squares for the error we have:

SSE=SST-SSR=19.4-6.430=12.97

So then we have the final solutions:

The error sum of squares is SSE=12.97

The regression sum of squares is SSR=6.430

The total sum of squares is SST=19.4

6 0
3 years ago
Which is a graph of the equation y = 2x - 4
AURORKA [14]
<h2>The third graph</h2><h3 /><h3>The graph has a slope of 2</h3><h3>and a y-intercept of -4</h3>
6 0
3 years ago
Read 2 more answers
HELP ILL GIVE BRAINLY (put number whatever is… then give the answer ) THANKSSS
Ulleksa [173]

Answer:

19)$33

20)1/3 or if u make like denominators 1/6 because they already did 3/6 and 2/6 leaving 1/6

21)0.40

22)0.6

23)0.80

24)0.70

6 0
2 years ago
8/6 ​ + (− 9 / 5 ​ )
Inessa05 [86]

Answer:

-7/15

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • A plumbers bill is £463.20 plus VAT. The current rate of VAT is 20% what is the actual cost of work done
    7·1 answer
  • ? + (350 × 0.84) = (620 × 0.55) – √1764 2
    11·1 answer
  • How do i solve these ?
    7·1 answer
  • Sharla is 8 year older than her sister, patricia . The sum of their ages is 102.Find their ages.​
    9·2 answers
  • Find the lateral area the regular pyramid.<br><br> L.A.=
    15·1 answer
  • In an attempt to determine the favorite sport of people in the city, Marcos surveys every tenth person exiting a basketball game
    6·1 answer
  • Olivia is brewing tea. She starts boiling 0.455 L of water in a kettle. The change in volume of the contents of the kettle are n
    11·1 answer
  • Find the distance between A and B.<br> A 12 units<br> B.V106 units<br> C.9 units<br> D. 2/12 units
    8·1 answer
  • A hotel room costs $435.92 for 4 nights. At the same rate, how much would it cost to rent the hotel room for 7 nights?
    13·2 answers
  • Can you help me with all those problems please
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!