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3 years ago

When a number is increased by 9.5%, the result is 58. What is the original number to the nearest tenth?

Mathematics

2 answers:

Sergeu [11.5K]3 years ago

8 0

Answer:

Step-by-step explanation:

58÷1.095= 53 is the answer

SVEN [57.7K]3 years ago

7 0

Answer:

5.03196347032

Step-by-step explanation:

We do:

.095x+x=58

1.095x=58

x=52.96

52.96 is a approximation and when you do the math and see what 9.5 of 52.96 plus 52.96 is you get 57.9912 which is super close to 8 The exact answer is x = 5.03196347032

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2 years ago

The cone and cylinder below have equal surface area

marissa [1.9K]

Answer:

Option B, False

Step-by-step explanation:

Step 1: Get the surface area formulas for both shapes

Surface Area Formula for Cone: $A = \pi * r(r + \sqrt{h^{2} + r^{2}})$

Surface Area Formula for Cylinder: $A = 2\pi rh+2\pi r^{2}$

Step 2: Plug in the values and solve

Cone: $A = \pi * r(r + \sqrt{(3r)^{2} + r^{2}})$

Cone: $A = \pi r^{2} + \pi \sqrt{10}r^{2}$

Cylinder: $A = 2\pi r*r+2\pi r^{2}$

Cylinder: $A=4 \pi r^{2}$

Step 3: Compare

$\pi r^{2} + \pi \sqrt{10}r^{2}\neq 4 \pi r^{2}$

They are not equal, therefore the answer is False.

Answer: Option B, False

6 0

2 years ago

Write the coordinates of the vertices after a reflection over the x-axis. 1072

Liula [17]

The reflection about x-axis results in same x coodinate with oppositive of y coordinate. It can be expressed as,

$(x,y)\rightarrow(x,-y)$

Determine the coordinates of the vertices after reflection over the x-axis.

$Q(6,-8)\rightarrow Q^{\prime}(6,8)$ $R(7,-8)\rightarrow R^{\prime}(7,8)$ $S(7,-5)\rightarrow Q^{\prime}(7,5)$ $T(6,-5)\rightarrow T^{\prime}(6,5)$

6 0

1 year ago

Help I’m almost out of time

VladimirAG [237]

Answer: First option.

Step-by-step explanation:

You can idenfity in the figure that $\angle FCE$ is formed by two secants that intersect outside of the given circle.

It is important to remember that, by definition:

$Angle\ formed\ by\ two\ Secants=\frac{1}{2}( Difference\ of\ intercepted\ Arcs)$

Knowing this, you can set up the following equation:

$m\angle FCE=\frac{1}{2}(BD-FE)$

Therefore, you must substitute values into the equation and then evaluate, in order to find the measure of the angle $\angle FCE$ .

This is:

$m\angle FCE=\frac{1}{2}(112\°-38\°)\\\\m\angle FCE=37\°$

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3 years ago

Which statement about the graph of the line y=x+1/2 will be true if the 1/2 is replaced by -2

Semmy [17]

The y-intercept (where the line hits the y-axis) will move from (0, 1/2) to (0, -2)

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3 years ago