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3 years ago

10 pts

Mathematics

1 answer:

Simora [160]3 years ago

4 0

Area = pi * radius^2
radius = diameter/2 = 26/2 = 13 feet

Area = 3.14 * (13^2)
Area = 3.14 * 169 = 530.66 ft^2

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Miriam makes 214 gallons of punch for a school event. How many 4‐ounce servings of punch can she serve ?

yawa3891 [41]

Convert gallons to ounces
There 128 ounces in 1 gallon
So you would multiply
(214gal)*(128oz/1gal)=27392 ounces

27392oz / 4 oz = 6848 cups

5 0

3 years ago

Look at the picture. Solve for y

Mumz [18]

Answer:

y = 5

Step-by-step explanation:

Equation:

m<DGF = m<DGE + m<EGF

Given:

m<DGF = 12y - 5

m<DGE = 5y + 6

m<EGF = 24

Work:

m<DGF = m<DGE + m<EGF

12y - 5 = 5y + 6 + 24

12y - 5 = 5y + 30

12y - 5y = 30 + 5

7y = 35

y = 5

5 0

3 years ago

Determine if the two figures are congruent and explain your answer using transformations.

san4es73 [151]

Hello,

In the picture, i have draw one translation $\vec{t}$

and a line symmetry $s_d$

You have just to follow the colors.

7 0

3 years ago

Consider the functions below. f(x, y, z) = x i − z j + y k r(t) = 4t i + 6t j − t2 k (a) evaluate the line integral c f · dr, wh

fredd [130]

With

$\vec r(t)=4t\,\vec\imath+6t\,\vec\jmath-t^2\,\vec k$

we have

$\mathrm d\vec r=(4\,\vec\imath+6\,\vec\jmath-2t\,\vec k)\,\mathrm dt$

The vector field evaluated over this parameterization is

$\vec f(x,y,z)=\vec f(x(t),y(t),z(t))=4t\,\vec\imath+t^2\,\vec\jmath+6t\,\vec k$

so the line integral is

$\displaystyle\int_{-1}^1(4t\,\vec\imath+t^2\,\vec\jmath+6t\,\vec k)\cdot(4\,\vec\imath+6\,\vec\jmath-2t\,\vec k)\,\mathrm dt$

$=\displaystyle\int_{-1}^1(16t+6t^2-12t^2)\,\mathrm dt=-4$

6 0

3 years ago

Item C sold for 5$ and item D sold for 7 you sold a combined total of 60 of item c and D and you made 400$ how many of each item

Aneli [31]

Answer:

50 of D and 10 of C

Step-by-step explanation:

First of all, put this data into 2 equations.

You sold 60 items, so C+D=60

C is $5 so we can represent it by 5C

D is $7 so we can represent it by 7D

You made $400 total from C and D, so 5C+7D=400

We can use simultaneous equations to solve this.

To eliminate one of these variables, we'll multiply the first one by 5 to make it 5C like the other.

5(C+D=60) (make sure you multiply both sides.)

so 5C+5D=300

5C+7D=400

Now we solve it:

5C-5C+7D-5D=400-300

7D-5D=100

2D=100

D=50

Now we can substitute this with one of the equations to find C

C+50=60

C=60-50

C=10

so, (10x5)+(50x7)=400

4 0

4 years ago