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3 years ago

Solve This Equation 5x - 5 = 50

Mathematics

2 answers:

Black_prince [1.1K]3 years ago

7 0

X=11
All you have to do is add 5 to both sides and then divide by 5 on both sides

Arte-miy333 [17]3 years ago

4 0

Answer:

Step-by-step explanation:

5x-5=50

5x=50

+ 5

5x=55

55/5=11

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The ratio of the perimeters of two similar triangles is 4:3. What are the areas of these triangles if the sum of their areas is

emmasim [6.3K]

Answer:

the areas of these triangles are 83.2cm² and 46.8cm²

Step-by-step explanation:

1. If the triangles are similar and the ratio of the perimeter ois 4:3, then the areas are in the following ratio:

4²:3²

16:9

2. The sum of their areas is 65 cm², then, you can calculate the area of the larger triangle as following:

130(16/16+9)

130(0.64)

=83.2cm²

3. The area of the smaller triangle is:

130(9/16+9)

130(0.36)

46.8cm²

Hope this helps

6 0

2 years ago

Identify an equation in point-slope form for the ine parallel to y = -2/3 x+8 that

zlopas [31]

Answer:

$y +5 = -\frac{2}{3}(x - 4)$

Step-by-step explanation:

Given

$y = -\frac{2}{3}x + 8$

Point (4,-5)

Required

Determine the line equation

From the question, we understand that the line is parallel to $y = -\frac{2}{3}x + 8$

This implies that they have the same slope, m

A linear equation is:

$y = mx + b$

Where

$m = slope$

By comparison: $y = mx + b$ and $y = -\frac{2}{3}x + 8$

$m = -\frac{2}{3}$

Next, we determine the line equation using:

$y - y_1 = m(x - x_1)$

Where

$(x_1,y_1) = (4,-5)$ and $m = -\frac{2}{3}$

$y - (-5) = -\frac{2}{3}(x - 4)$

$y +5 = -\frac{2}{3}(x - 4)$

Hence,

Option C is correct

4 0

3 years ago

The earth rotates once per day about an axis passing through the north and south poles, an axis that is perpendicular to the pla

forsale [732]

Answer:

Speed at Equator = 463.97 meters per second

Centripetal Acceleration at Equator = $3.37*10^{-2}$ meters per second squared

Speed at 30 degrees north of equator = 401.79 meters per second

Centripetal Acceleration at 30 degrees north of equator = $2.92*10^{-2}$ meters per second squared

Step-by-step explanation:

The formula is:

$v=\frac{2 \pi R}{T}$

Where

v is speed

R is radius

T is time

and another formula for centripetal acceleration:

$a_c=\frac{4 \pi^{2} R}{T^2}$

Now,

at equator, the radius is radius of earth (given), time in seconds is

T = 24 * 60 * 60 = 86,400

THus,

$v_E=\frac{2 \pi (6.38*10^{6}}{86,400}=463.97$

Speed at Equator = 463.97 meters per second

Centripetal Acceleration:

$a_{cE}=\frac{v_E^2}{R_E}=\frac{463.97}{6.38*10^{6}}=3.37*10^{-2}$

Centripetal Acceleration at Equator = $3.37*10^{-2}$ meters per second squared

At 30.0° north of the equator:

$R_N=R_E Cos (30)= (6.38*10^6)Cos(30)=5.53*10^6$

Now,

Speed = $v_{30N}=\frac{2 \pi (5.53*10^6)}{86,400}=401.79$

Speed at 30 degrees north of equator = 401.79 meters per second

Centripetal Acceleration:

$a_{30N}=\frac{v_E^2}{R_E}=\frac{401.79}{5.53*10^6}=2.92*10^{-2}$

Centripetal Acceleration at 30 degrees north of equator = $2.92*10^{-2}$ meters per second squared

4 0

3 years ago

F(t) = t^2 - 5t; Find f(-8)

yKpoI14uk [10]

Answer:

f(-8) = 104

Step-by-step explanation:

f(t) = t^2 - 5t

Let t=-8

f(-8) = (-8)^2 -5(-8)

= 64 +40

= 104

7 0

3 years ago

Read 2 more answers

Mandana is ordering new tile for her kitchen floor. The area of the floor is 111.8 square feet, and she wants to order between 1

Pachacha [2.7K]

Answer:

132 tiles

Step-by-step explanation:

We would just take the average of 15% and 20% which would be 17.5% and we could round up to 18% so 18% of 111.8 is 20.124 and if you add them together you would get 131.9 and that rounds up to 132 tiles.

8 0

3 years ago