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3 years ago

The center of a circle bs located at 3,9), and the evde hesa vedles that to sustain What the parengtame een hee)

Mathematics

1 answer:

tigry1 [53]3 years ago

7 0

Answer:

The general equation of a circle is x2 + y2 - 6x - 16y + 48 = 0

Step-by-step explanation:

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What is the value of yearly compensation package that includes $65,000 salary the forecast of a $350 Dollar per month health ins

Klio2033 [76]

Answer:

$69560

Step-by-step explanation:

The yearly compensation package includes a yearly salary of $65000, the health insurance plan of $350 per month and a life insurance premium of $30 per month.

Total compensation in health insurance plan is $(350 × 12) = $4200

Total compensation in life insurance premium is $(30 × 12) = $360

Therefore, total yearly compensation package is $(65000 + 4200 + 360) = $69560 (Answer)

4 0

3 years ago

What is the variable used to predict another variable called________.A. Independent variableB. Dependent variableC. Moderating v

UkoKoshka [18]

Answer:

A. Independent variable

Step-by-step explanation:

The prediction of a variable can be done if we have the independent variable. Which is the required variable that is used to determine the value of the other variable. The variable to be predicted is dependent on the required variable.

An independent variable can also be referred to as a predictor variable. When its value is known, it can be used to obtain the dependent variable.

7 0

4 years ago

Can someone please explain to me how to do numbers 2 and 3??

LenaWriter [7]

The answer to question 3 is 1 person orders chicken and the other 5 had steak dinner.

the way you work this out is you half 6 which is three and then do 3x14 and 3x17
3x14=42
3x17=51
42+51=93
this is too less so you have to do less of the cheaper meal (14) and more of the dearer one (17) so I went to 1x14 and 5x17
1x14=14
5x17=85
14+85=99
add these together and it makes 99

the answer to question 14 is 5 adults and 3 students

to do this you do exactly the same as how you do question 3

6 0

3 years ago

Calculate the area of triangle .

AnnZ [28]

Answer:

20 units

Step-by-step explanation:

The formula for the area:

A = bh × 1/2

B = 8 units

H = 5 units

8 × 5 = 40

40 × 1/2 = 20

8 0

3 years ago

Find the volume and area for the objects shown and answer Question

klio [65]

Step-by-step explanation:

You must write formulas regarding the volume and surface area of the given solids.

$\bold{\#1\ Rectangular\ prism:}\\\\V=lwh\\SA=2lw+2lh+2wh=2(lw+lh+wh)\\\\\bold{\#2\ Cylinder:}\\\\V=\pi r^2h\\SA=2\pi r^2+2\pi rh=2\pir(r+h)\\\\\bold{\#3\ Sphere:}\\\\V=\dfrac{4}{3}\pi r^3\\SA=4\pi r^2$

$\bold{\#4\ Cone:}\\\\V=\dfrac{1}{3}\pi r^2h\\\\\text{we need calculate the length of a slant length}\ l\\\text{use the Pythagorean theorem:}\\\\l^2=r^2+h^2\to l=\sqrt{r^2+h^2}\\\\SA=\pi r^2+\pi rl=\pi r^2+\pi r\sqrt{r^2+h^2}=\pi r(r+\sqrt{r^2+h^2})\\\\\bold{\#5\ Rectangular\ Pyramid:}\\\\V=\dfrac{1}{3}lwh\\\\$

$\\\text{we need to calculate the height of two different side walls}\ h_1\ \text{and}\ h_2\\\text{use the Pythagorean theorem:}\\\\h_1^2=\left(\dfrac{l}{2}\right)^2+h^2\to h_1=\sqrt{\left(\dfrac{l}{2}\right)^2+h^2}=\sqrt{\dfrac{l^2}{4}+h^2}=\sqrt{\dfrac{l^2}{4}+\dfrac{4h^2}{4}}\\\\h_1=\sqrt{\dfrac{l^2+4h^2}{4}}=\dfrac{\sqrt{l^2+4h^2}}{\sqrt4}=\dfrac{\sqrt{l^2+4h^2}}{2}$

$\\\\h_2^2=\left(\dfrac{w}{2}\right)^2+h^2\to h_2=\sqrt{\left(\dfrac{w}{2}\right)^2+h^2}=\sqrt{\dfrac{w^2}{4}+h^2}=\sqrt{\dfrac{w^2}{4}+\dfrac{4h^2}{4}}\\\\h_2=\sqrt{\dfrac{w^2+4h^2}{4}}=\dfrac{\sqrt{w^2+4h^2}}{\sqrt4}=\dfrac{\sqrt{w^2+4h^2}}{2}$

$SA=lw+2\cdot\dfrac{lh_1}{2}+2\cdot\dfrac{wh_2}{2}\\\\SA=lw+2\!\!\!\!\diagup\cdot\dfrac{l\cdot\frac{\sqrt{l^2+4h^2}}{2}}{2\!\!\!\!\diagup}+2\!\!\!\!\diagup\cdot\dfrac{w\cdot\frac{\sqrt{w^2+4h^2}}{2}}{2\!\!\!\!\diagup}\\\\SA=lw+\dfrac{l\sqrt{l^2+4h^2}}{2}+\dfrac{w\sqrt{w^2+4h^2}}{2}\\\\SA=\dfrac{2lw}{2}+\dfrac{l\sqrt{l^2+4h^2}}{2}+\dfrac{w\sqrt{w^2+4h^2}}{2}\\\\SA=\dfrac{2lw+l\sqrt{l^2+4h^2}+w\sqrt{w^2+4h^2}}{2}$

6 0

3 years ago