Tad runs one-half mile for every one-third mile that
Elaine runs. If together they run a total of 10 miles, how
far does Tad run?

Step-by-step explanation:

(B) L = 182.9 cm +- 0.1 cm

W = 152.4 cm +- 0.1 cm

(C)

Smallest dimensions possible:

L = 182.9 cm - 0.1 cm = 182.8 cm

W = 152.4 cm - 0.1 cm = 152.3 cm

A = (182.9 cm)(152.3 cm)

= 27840.44 cm^2

To find the uncertainty for the area ∆A, we use the formula

[tex] \frac{da}{a} = \frac{dl}{l} + \frac{dw}{w} [/tex]

where da = ∆A, dl = ∆L, dw = ∆W

[tex] \frac{da}{27840.44 {cm}^{2} } = \frac{0.1cm}{182.8cm} + \frac{0.1cm}{152.3cm} [/tex]

[tex] = 0.000547 + 0.000657[/tex]

[tex] = 0.001204[/tex]

Therefore

∆A = 0.001204 × 27840.44 cm^2

= 33.52 cm^2

Rounding off the numbers to their significant figures,

A = 27840 cm^2 +- 33 cm^2

(D)

For the largest possible area,

L = 183.0 cm

W = 152.5 cm

A = 27905.5 cn^2

[tex] \frac{da}{27907.5 {cm}^{2} } = \frac{0.1cm}{183.0cm} + \frac{0.1cm}{152.5cm} [/tex]

[tex] = 0.001202[/tex]

∆A = 0.001202 × 27907.5 cm^2

= 33.55 cm^2

Therefore, the largest possible area is

A = 27910 cm^2 +- 33 cm^2

Answer:

Numbner of plant in field = 2,020

Cost of planting trees = R.s 151,500

Step-by-step explanation:

GIven:

Side of square field = 45 m

Area of well = 5 square meter

1 plant = 1 squre meter

Cost per tree = R.s 75

Find:

Numbner of plant in field

Cost of planting trees

Computtaion:

Area of planting trees = Area of filed - Area of well

Area of planting trees = [45 x 45] - 5

Area of planting trees = 2,025 - 5

Area of planting trees = 2,020 squre field

Numbner of plant in field = Area of planting trees /  1 squre meter

Numbner of plant in field = 2,020

Cost of planting trees = 75 x Numbner of plant in field

Cost of planting trees = 75 x 2,020

Cost of planting trees = R.s 151,500

Let's take a look at our table here in order to solve the problem. We need to know what g(0) and g(4) are to be able to solve.

Since we are plugging in x-values and looking for y-values, we simply need to find 0 and 4 on the left side of the table (the x side), and then find their corresponding g(x), or y, values.

g(0) = -5

g(4) = -4

Now, all that's left to do is add these two values.

-5 + -4

-9

Hope this helps!! :)

Answer:

- 9

Step-by-step explanation:

g(0) = - 5 ← value of g(x) when x = 0

g(4) = - 4 ← value of g(x) when x = 4

Then

g(0) + g(4) = - 5 + (- 4) = - 5 - 4 = - 9

Answer:

13/15

Step-by-step explanation:

Answer:

Step-by-step explanation:

HOPE IT HELPS MUCH

Answer:

Step-by-step explanation:

x = 12

Step-by-step explanation:

From Pythagorean theorem,

x^2 + 9^2 = 15^2

or

x^2 = 225 - 81 = 144

x = 12

Answer:

(x-7)^2 + (y+3)^2 = 49

Step-by-step explanation:

The general equation for a circle is given by

(x-h)^2 + (y-k)^2 = r^2

where ( h,k) is the center and r is the radius

(x-7)^2 + (y- -3)^2 = 7^2

(x-7)^2 + (y+3)^2 = 7^2

(x-7)^2 + (y+3)^2 = 49

Answer;

(x-7)^2 + (y+3)^2 = 49

Step-by-step explanation:

The general equation for a circle is given by

(x-h)^2 + (y-k)^2 = r^2

where ( h,k) is the center and r is the radius

(x-7)^2 + (y- -3)^2 = 7^2

(x-7)^2 + (y+3)^2 = 7^2

(x-7)^2 + (y+3)^2 = 49

[tex]\huge{ \mathfrak{  \underline{ Answer }\:  \:  ✓ }}[/tex]

Angles forming linear pair are :

[tex] \mathrm{\angle EFG \: \: and \: \: \angle GFH} [/tex]

And we know, they are supplymentary

So, the measures of the given angles are :

And

_____________________________

[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]

Answer:

7x+9y=45

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

3 + 3.4 = 6.4

which is greater than 4

the sum of the 2 smallest sides have to be greater than the largest side

Answer:

$80.75

Step-by-step explanation:

95 * 0.15 = 14.25

95 - 14.25 = 80.75

hope this is helpful

Answer:

1 picnic table : 9 benches

Step-by-step explanation:

You just simplify the equation down to its simplest form, so since they both have the gcf of 6, you divided both sides by 6, which results in the answer above.

Answer:

61.2

Step-by-step explanation:

base=6

height=10

Area of parellelogram=base x height

=6x 10.2

=61.2 sq.ft

MARK ME BRAINLIEST THANKS MY ANSWER PLEASE

Answer:

c

Step-by-step explanation:

Answer:

C

1 or more includes from the 1st quartile to the rest of the graph, so it is 75%

Answer: [tex]337.77\%[/tex]

Step-by-step explanation:

Given

For 70 year old, premium is 79.79 per month

For 80 year old it is 349.30 per month

Percentage increase in premium costs from age 70 to 80 is

[tex]\Rightarrow \%\ \text{increase}=\dfrac{349.30-79.79}{9.79}\times 100\\\\\Rightarrow \%\ \text{increase}=\dfrac{269.51}{79.79}\times 100\\\\\Rightarrow \%\ \text{increase}=337.77\%[/tex]

Answer:

C

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos24° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{10}[/tex] → C

Note

sin24° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{4}{10}[/tex] ( which does not include x )

tan24° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{4}{x}[/tex] ≠ [tex]\frac{x}{4}[/tex]

Answer:

A and F

Step-by-step explanation:

Given

Intersecting lines

Required

The vertical and congruent angles

The two vertical lines are not parallel. So, we cannot conclude any relationship between angles A, B, E, F and angles C, D, H, G

Comparing angles A, B, E and F; we have:

[tex]\angle A = \angle F[/tex] --- Vertical opposite angles

[tex]\angle B = \angle E[/tex] --- Vertical opposite angles

From the given options,

[tex]\angle A = \angle F[/tex] is true

==============================================

Work Shown:

L = theta*r

12 = theta*4

12/4 = theta

3 = theta

theta = 3 radians, choice C is the answer.

--------

Side note: The formula L = theta*r only works if theta is in radians.

If theta is in degrees, then use L = (theta/360)*2pi*r. So you can see that radian mode is much easier in this case.

Answer:

B

Step-by-step explanation:

Answer:

12-3

9 is the range

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Answer:

I am not 100%

#1 = C,D,E

#2 = 1/2

Answer:

8n - 3.9

Step-by-step explanation:

Given

- (- 8n + 3.9 ) ← multiply each term in the parenthesis by - 1

= 8n - 3.9

Answer:

0.25

Step-by-step explanation:

t/4+16=17

t=(17-16)/4

=0.25

Answer:

The expression is 2 y - 1 2

Step-by-step explanation:

two times the quantity of a number minus 12

Let the number of y.

Two times a number is  2 y

Now minus 12

So, the expression is

2 y - 12

Answer:

a

Step-by-step explanation:

Answer:

[tex]-186 \to -32 \to 6 \to 27 \to 28\ to 38 \to 56 \to 90 \to 115[/tex]

Step-by-step explanation:

Given

See attachment for A and B

Required

Arrange AB in ascending order

We have:

[tex]A = \left[\begin{array}{ccc}1&7&-1\\5&-2&-9\\-3&8&3\end{array}\right][/tex]

and

[tex]B = \left[\begin{array}{ccc}5&1&7\\3&15&-2\\-1&-9&25\end{array}\right][/tex]

So:

[tex]C = A * B[/tex]

[tex]C = \left[\begin{array}{ccc}1&7&-1\\5&-2&-9\\-3&8&3\end{array}\right] * \left[\begin{array}{ccc}5&1&7\\3&15&-2\\-1&-9&25\end{array}\right][/tex]

[tex]C = \left[\begin{array}{ccc}{27}&{115}&{-32}\\{28}&{56}&{-186}\\{6}&{90}&{38}\end{array}\right][/tex]

Where:

[tex]C_{1,1} =1*5 + 7*3 + (-1) * (-1)[/tex]

[tex]C_{1,2} =1*1 + 7*15 + (-1)*(-9)}[/tex]

[tex]C_{1,3} = 1*7 + 7*(-2) + (-1)*25}[/tex]

[tex]C_{2,1} = 5*5 + (-2)*3 + (-9) * (-1)}[/tex]

[tex]C_{2,2} = 5*1 + (-2)*15 + (-9)*(-9)}[/tex]

[tex]C_{2,3} = 5*7 + (-2)*(-2) + (-9)*25}[/tex]

[tex]C_{3,1} =(-3)*5 + 8*3 + 3 * (-1)[/tex]

[tex]C_{3,2} = (-3)*1 + 8*15 + 3*(-9)[/tex]

[tex]C_{3,3} = (-3)*7 + 8*(-2) + 3*25[/tex]

In increasing order, we have:

[tex]-186 \to -32 \to 6 \to 27 \to 28\ to 38 \to 56 \to 90 \to 115[/tex]

Answer:

Terry 108

300

Step-by-step explanation:

7a² - 4 if a = 4

7(4)² - 4

7(16) - 4

112 - 4

108

Terry 108

----------------------------

72/120 * 500

300

Answer:

D

Step-by-step explanation:

The right answer is D

I'm sure

The true statement is (d) The graph of g(x) is the graph of f(x) shifted to the right 6 units.

The equation of the function is given as:

[tex]g(x) = f(x -6) = 10^{x-6}[/tex]

The above equation means that, the equation of function f(x) is:

[tex]f(x) = 10^x[/tex]

And the rule of transformation is:

[tex](x,y) \to (x -6,y)[/tex]

This means that:

Function f(x) is shifted right by 6 units to get function g(x)

Hence, the true statement is (d)

Read more about function transformation at:

https://brainly.com/question/1548871