All categories

3 years ago

What is the area of the triangle?

Mathematics

2 answers:

Likurg_2 [28]3 years ago

6 0

area = 27.225 ft²

the area (A) of a triangle = $\frac{1}{2}$ × base × height

A = 0.5 × 9.9 × 5.5 = 27.225 ft²

Dovator [93]3 years ago

3 0

Area = bh/2
(9.9 x 5.5)÷2 = 27.225 ft^2

You might be interested in

The number of "destination weddings" has skyrocketed in recent years. For example, many couples are opting to have their wedding

melamori03 [73]

Answer:

We conclude that the mean wedding cost is less than $30,000 as advertised.

Step-by-step explanation:

We are given the following data set:(in thousands)

29100, 28500, 28800, 29400, 29800, 29800, 30100, 30600

Formula:

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{236100}{8} = 29512.5$

Sum of squares of differences = 3408750

$S.D = \sqrt{\frac{3408750}{7}} = 697.82$

Population mean, μ = $30,000

Sample mean, $\bar{x}$ = $29512.5

Sample size, n = 8

Alpha, α = 0.05

Sample standard deviation, s = $ 697.82

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 30000\text{ dollars}\\H_A: \mu < 30000\text{ dollars}$ We use one-tailed t test to perform this hypothesis.

Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }$

Putting all the values, we have

$t_{stat} = \displaystyle\frac{29512.5 - 30000}{\frac{697.82}{\sqrt{8}} } = -1.975$

Now,

$t_{critical} \text{ at 0.05 level of significance, 7 degree of freedom } = -1.894$

Since,

$t_{stat} < t_{critical}$

We fail to accept the null hypothesis and reject it.

We conclude that the mean wedding cost is less than $30,000 as advertised.

8 0

4 years ago

13. A car travels at a speed of 55 km/h. Find the distance travelled by the car in 12minutes 30 seconds, giving your answer in m

Sedbober [7]

Answer:

11.46 meters

Step-by-step explanation:

12min 30sec = 12.5min

55km/h * 12.5min * 1h/60min = 11.4583333333meters

8 0

3 years ago

Given that ABCD is a rhombus, what is the value of x?<br>(3x - 26)

ExtremeBDS [4]

<h2>The required "option B) $20.75\°$ " is correct.</h2>

Step-by-step explanation:

You can refer figure:

brainly.com/question/4386376

To find, the value of x = ?

We know that,

Consecutive angles are supplementary

The diagonals bisect the angles.

$2x\°+2(3x+7)\°=180\°$

Divided by 2 both sides, we get

⇒ $x\°+(3x+7)\°=90\°$

⇒ $x\°+3x+7\°=90\°$

⇒ $4x=90\°-7\°$

⇒ 4x = $83\°$

⇒ $x=\dfrac{83\°}{4}$

⇒ $x=20.75\°$

∴ The value of x = $20.75\°$

Thus, the required "option B) $20.75\°$ " is correct.

7 0

3 years ago

Read 2 more answers

Adrian scored 2 touchdowns in each of 16 games this football season. Each touchdown is worth 6 points.Let p stand for the total

Taya2010 [7]

16x2=32
32x6=p or
16x2x6=p
hope this helps

7 0

3 years ago

Read 2 more answers

A spinner has five congruent sections, one each of blue,green,red,orange, and yellow. Yuri spins the spinner 10 times and record

Ulleksa [173]

Answer: 1st, 3rd and 5th answers are correct

Step-by-step explanation:

4 0

4 years ago

Read 2 more answers