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Mkey [24]
3 years ago
8

Write a rule for g described by the transformations of the graph of f.

Mathematics
1 answer:
Reika [66]3 years ago
3 0

Answer:g(x)=\frac{3}{7}(21(x+5))^{1/2}

Step-by-step explanation:

Transformation rule:

Shifting by k units left : f(x)\to f(x+5)

Dilation by a factor of h units: f(x)\to hf(x)

Let g be a horizontal shrink by a factor of 3/7, followed by a translation 5 units left  of the graph of f(x)=(21x)^{1/2}

The rule for g described by the transformations of the graph of f. : g(x)=\frac{3}{7}(21(x+5))^{1/2}

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What is the volume of the rectangular pyramid
Alex17521 [72]

Answer:

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Finding the Volume of a Rectangular Pyramid

Your overall formula for finding the volume of these multi-faceted shapes is V = (l x w x h) / 3. Basically, your first step is finding the area of the base by multiplying length by width. Once you determine the area of the base, multiply that by the height.

4 0
3 years ago
Read 2 more answers
The area of a circle, in terms of π, is 80π m2. Find the value of the radius. Give your answer as a simplified surd.
jolli1 [7]

Answer:

r=4\sqrt{5}\:\: \sf m

Step-by-step explanation:

\textsf{Area of a circle}=\pi r^2 \quad \textsf{(where r is the radius)}

Given:

  • Area = 80π m²

Substitute the given value into the formula and solve for r:

\implies 80 \pi = \pi r^2

\implies \dfrac{80 \pi}{\pi} = \dfrac{\pi r^2}{\pi}

\implies 80=r^2

\implies \sqrt{r^2}=\sqrt{80}

\implies r=\sqrt{80}

\implies r=\sqrt{16 \cdot 5}

\implies r=\sqrt{16}\sqrt{5}

\implies r=\sqrt{4^2}\sqrt{5}

\implies r=4\sqrt{5}

4 0
2 years ago
Read 2 more answers
When the angle of elevation to the sun is 53 a tree casts a shadow that is 9 meter long. what is the height of the tree?
alexgriva [62]
Tan (53) = tree height / 9 m
tree height = tan (53) * 9
tree height = 1.327 * 9
tree height = 11.943 meters

6 0
4 years ago
Jordan bikes at a speed of 8 2/3 mph. How many miles will he bike in 3 hours and 6 minutes?
Daniel [21]

Jordan will cover 26\frac{13}{15}\ miles in 3 hours and 6 minutes.

Step-by-step explanation:

Given,

Speed of Jordan = 8\frac{2}{3}=\frac{26}{3}\ mph

Time = 3 hours and 6 minutes.

Converting minutes into hour.

6 minutes = \frac{6}{60}\ hour = \frac{1}{10}\ hour

Therefore;

Time = 3+\frac{1}{10} = \frac{30+1}{10} = \frac{31}{10}\ hours

Distance = Speed * Time

Distance = \frac{26}{3}*\frac{31}{10}

Distance = \frac{806}{30}=\frac{403}{15}

Distance = 26\frac{13}{15}\ miles

Jordan will cover 26\frac{13}{15}\ miles in 3 hours and 6 minutes.

Keywords: fraction, multiplication

Learn more about fractions at:

  • brainly.com/question/711343
  • brainly.com/question/7027848

#LearnwithBrainly

8 0
4 years ago
The equatorial diameter of a model of earth is 25.6 cm. What is the total surface area of the model​
Arisa [49]

Answer:

2059.7\,\,cm^2

Step-by-step explanation:

Diameter of a model of earth (D) = 25.6 cm

Radius of a model of earth (r) = \frac{D}{2}=\frac{25.6}{2}=12.8\,\,cm

Earth has the shape of a sphere.

Total surface area of a sphere = 4\pi r^2

Put \pi=\frac{22}{7}\,,\,r=12.8\,\,cm

So,

Total surface area of the model =4(\frac{22}{7})(12.8)^2=2059.7\,\,cm^2

7 0
3 years ago
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