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2 years ago

Help answering this question please

Mathematics

2 answers:

Maru [420]2 years ago

8 0

First off, Here are some vocabulary:
Dilation - Changing of size
Rotation - Object moves a certain degree
Reflection - Reflections are over the y and x axis, makes a mirror image
Translation - Going across the y=x or x=y, Just travels diagonally across the graph over the point (0, 0), also can be moved x = 4 and y = 4, (Just moving the object a certain amount in each direction, Doesnt have to be 4, that is just an example.)

So, we can see That 1 goes to 2 using a translation of x = 4, and 2 to 3 using a reflection over the x axis.
Based on this information, We can see that answer D. Hope this helps you!

IrinaK [193]2 years ago

3 0

The transformation from 1 to 2 is a translation, as the shape is moved from one point to another with no rotation, reflection, or change in size.

The transformation from 2 to 3 is a reflection, as the shape is now upside down. It is still the same distance from the y-axis.

The answer is D. translation, then reflection.

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A medicine capsule is in the shape of a cylinder with two hemispheres stuck to each of its ends. The length of the entire capsul

mezya [45]

Diameter of the cylindrical portion of capsule = 5 mm
Length of the cylindrical portion of capsule = 14 mm - 5mm = 9 mm

Curved surface area of the cylindrical portion of capsule = $2\pi \: rh$
$= 2 \times \frac{22}{7} \times \frac{5}{2} \times 9 = \frac{990}{7} mm {}^{2}$
Curved surface area of two hemisphere = $4\pi \: r {}^{2}$
$= 4 \times \frac{22}{7} \times ( \frac{5}{2} ) {}^{2}$
$= 4 \times \frac{22}{7} \times \frac{25}{4} = \frac{550}{7} mm {}^{2}$

Surface area of the capsule = Curved surface area of cylindrical portion + Curved surface area of hemispherical ends
$= ( \frac{990}{7} + \frac{550}{7} ) \: mm {}^{2} = 220 \: mm {}^{2}$

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3 years ago

Round 33.825 to the nearest hundredths in place

zaharov [31]

Answer:

33.83

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

What type of angle is ∠CEB ? acute right obtuse straight

Rudik [331]

∠CEB and ∠AED are vertical angles, which means they must be equal to each other. Make them = x in an equation. The angles form a quadrilateral, so the sum of the interior angles must equal 360°.

77 + 77 + x + x = 360
Combine like terms.

154 + 2x = 360
Subtract 154 from both sides.

2x = 206
Divide both sides by 2.

x = 103

∠CEB is greater than 90°, so it must be an obtuse angle.

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2 years ago

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Ryan took out a 66-month loan to pay for a $28,500 car. If he paid $33,829.50 in total at the end of the loan, find the interest

velikii [3]

28,500 subtracted from 33,829.50 is 5,329.50. Then you divide the difference by the number of months. (5,329.50/66) . That dividend would be 80.75. sorry I could not provide further information.

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3 years ago

A country is considering raising the speed limit on a road because they claim that the mean speed of vehicles is greater than 30

kondaur [170]

Answer:

We conclude that speed is greater than 30 miles per hour.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 30 miles per hour

Sample mean, $\bar{x}$ = 35 miles per hour

Sample size, n = 15

Alpha, α = 0.01

Sample standard deviation, s = 4.7 miles per hour

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 30\text{ miles per hour}\\H_A: \mu > 30\text{ miles per hour}$

We use one-tailed(right) t test to perform this hypothesis.

Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }$

Putting all the values, we have

$t_{stat} = \displaystyle\frac{35 - 30}{\frac{4.7}{\sqrt{15}} } = 4.120$

Now, $t_{critical} \text{ at 0.01 level of significance, 14 degree of freedom } = 2.624$

Since,

$t_{stat} > t_{critical}$

We fail to accept the null hypothesis and reject it. We accept the alternate hypothesis and conclude that speed is greater than 30 miles per hour.

We calculate the p-value.

P-value = 0.00052

Since p value is lower than the significance level, we reject the null hypothesis and accept the alternate hypothesis. We conclude that speed is greater than 30 miles per hour.

6 0

2 years ago