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3 years ago

Please answer correctly will mark brainliest and will follow

Mathematics

1 answer:

Schach [20]3 years ago

5 0

9514 1404 393

Answer:

q/2, p, q

Step-by-step explanation:

You know the area of a triangle is half the product of base and height. The two triangles of interest here have base length p and height q/2. You're being asked to fill in the missing base or height dimension.

$=\dfrac{1}{2}\times p \times\boxed{\dfrac{q}{2}}+\dfrac{1}{2}\times\boxed{p}\times\dfrac{q}{2}\\\\=\dfrac{1}{2}\times p\times\boxed{q}$

You might be interested in

Ind the equation of the tangent line to 9x^2+16y^2=52 through (2, -1)

EastWind [94]

Here are the steps.

In order to get the answer, first we need to get the x and y value of the center of the circle by using the equation of a circle (x^2 + y^2 = r^2)

<span>The center is (-9, -4)</span>

Once you get the center point, find the equation of the line (in a form of a radius) from the center point to point (2, -1). Get the slope.

The slope from center to point (2, -1) is 11/3

Finally, get the negative reciprocal of the slope from the previous step and form the equation using slope-intercept form ( y=mx + b). Then, that's the equation of the tangent line.

The slope of the tangent line is -3/11
The equation is y = -3/11x - 5/11

6 0

3 years ago

An important factor in selling a residential property is the number of times real estate, agents show a home. A sample of 21 hom

Natalka [10]

Using the t-distribution to build the 99% confidence interval, it is found that:

The margin of error is of 3.64.

The 99% confidence interval for the population mean is (19.36, 26.64).

<h3>What is a t-distribution confidence interval?</h3>

The confidence interval is:

$\overline{x} \pm t\frac{s}{\sqrt{n}}$

In which:

$\overline{x}$ is the sample mean.

t is the critical value.

n is the sample size.

s is the standard deviation for the sample.

The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 21 - 1 = 20 df, is t = 2.086.

The other parameters are given as follows:

$\overline{x} = 23, s = 8, n = 21$

The margin of error is given by:

$M = t\frac{s}{\sqrt{n}} = 2.086\frac{8}{\sqrt{21}} = 3.64$

Hence the bounds of the interval are:

$\overline{x} - M = 23 - 3.64 = 19.36$

$\overline{x} + M = 23 + 3.64 = 26.64$

The 99% confidence interval for the population mean is (19.36, 26.64).

More can be learned about the t-distribution at brainly.com/question/16162795

#SPJ1

7 0

2 years ago

Joshua's recipe for chili requires 2 3/4 pounds of beef. Sondra's recipe for chili requires 2 2/3 pounds of beef. Which of t

Lemur [1.5K]

Answer:

Step-by-step explanation:

Your question isn't complete but let me help out based on the information given.

Joshua's recipe for chili requires 2 3/4 pounds of beef. Sondra's recipe for chili requires 2 2/3 pounds of beef.

The pounds of beef required by both of them will be:

= 2 3/4 + 2 2/3

= 2 9/12 + 2 8/12

= 4 17/12

= 4 + 1 5/12

= 5 5/12

The difference in the pounds of beef required by both of them will be:

= 2 3/4 - 2 2/3

= 2 9/12 - 2 8/12

= 1/12

Also, we.can also infer that Joshua recipe for chili requires more pounds of beef than that of Sondra

4 0

3 years ago

The sugar sweet company will choose from two companies to transport it’s sugar to market. The first company charges 4490 to rent

lilavasa [31]

Um, I don't know if I actually answered the question, but I think that the second one is cheaper to rent.

4 0

3 years ago

Simplify: - 4x 5x - 1 + 3-6x 3-6x

Vitek1552 [10]

Answer:

−45−1+3−63−6

−46−1+3−63−6

−46+2−63−6

Solution:

−46−63−6+2

Step-by-step explanation:

I hope that this is what you are looking for

Have a nice day/night

3 0

3 years ago