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luda_lava [24]
3 years ago
14

Given 4s+3-8t when s=7 and t=2.

Mathematics
1 answer:
yaroslaw [1]3 years ago
3 0

Answer:

15

Step-by-step explanation:

4x+3-8t\\\\s=7\\\\t=2\\\\4(7)+3-8(2)\\\\28+3-16\\\\28-13\\\\15

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If a circle has circumference c, what is it’s are in terms of C
Scilla [17]
\text {Circumference = } 2 \pi r

c = 2 \pi r

\text {r = }  \dfrac{c}{2 \pi }


\text {area = }  \pi r^2

Sub r into area:

\text {area = } \pi ( \dfrac{c}{2 \pi } )^2

\text {area = }  \dfrac{\pi c^2}{4 \pi^2 }

\text {area = }  \dfrac{\ c^2}{4 \pi }





7 0
3 years ago
Solve sin x + 2 sin x cos X = for 0°
solniwko [45]

Answer:

Step-by-step explanation:

hello :

sin x + 2 sin x cosx = 0   equivalent to : sinx(1+2cosx) =0

sinx=0 means :  general solution is  : x= kπ....k in Z

1+2cosx=0  means : cosx= -1/2 general solution is : x= ±π/6+kπ...k in Z

3 0
3 years ago
The table shows the relationship between the cost of renting a car from the Wrecko Car Rental Company and the number of days for
Fudgin [204]

Answer:

The cost of renting the car for 20 days is $481

Step-by-step explanation:

The table of values can be formed as follows;

Day,   Cost

1,         $44

2,        $67

3,        $90

4,        $113

7,        $182

10,      $251

From the given values and the scatter plot, there is a straight line relationship between the cost and the number of days of rental of a car.

The line of best fit is therefore a straight line and from the constant increase in cost ($23) for each extra day of rental, it is possible to find the slope, m, of the data as follows;

Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}

(x₁, y,) and (x₂, y₂) can be taken as (1, $44) and (3, $90) respectively to give;

Slope, \, m =\dfrac{90-44}{3-1} = \dfrac{46}{2} = 23 \ as \ stated \ above

The equation in slope and intercept form is therefore, y  - 44 = 23×(x - 1), which gives;

y - 44 = 23·x - 23

y = 23·x - 23 + 44 = 23·x + 21

The cost of renting the car for 20 days is then;

10×23 + 21 = $481

The cost of renting the car for 20 days = $481.

5 0
3 years ago
B is the midpoint of AC and D is the mid point of CE solve for x given BD=3x + 5 and AE= 4x+20
Elena L [17]

Answer:triangle BCD is similar to triangle ACE (side, angle C, side)

AC = 2 BC

therefore AE = 2 BD

therefore

4x+20 = 2 (3x+5) solve that


Step-by-step explanation:


8 0
3 years ago
Find the missing value so that the line passing through the points has the given slope.
Dominik [7]

Answer:

y = 2

Step-by-step explanation:

use slope formula:

(4 - y) / (3 - 10) = -2/7

4-y / -7 = -2 /7

cross-multiply:

7(4 - y) = (-7)(-2)

28 - 7y = 14

-7y = -14

y = 2

4 0
3 years ago
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