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3 years ago

2. (07.02 LC) How many solutions does the equation - 3y + 3y + 4 = 4 have?

Mathematics

1 answer:

Luden [163]3 years ago

7 0

Answer:

infinite

Step-by-step explanation:

to simplify 4=4 meaning all solutions are true

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A round cake has a diameter of 30\text{ cm}30 cm30, start text, space, c, m, end text. Angela places the cake on a circular cake

VLD [36.1K]

Answer:

The circumference of the cake board is <u>35π cm</u>.

Step-by-step explanation:

The question is incomplete, so the complete question is below:

A round cake has a diameter of 30 cm. Angela places the cake on a circular cake board with a diameter 5 cm longer than that of the cake. What is the circumference of the cake board? Give your answer in terms of π.

Now, to find the circumference of the cake board.

As, given diameter of cake = 30 cm.

And diameter of cake board is 5 cm longer than that of the cake.

Thus, the diameter of cake board is:

$30\ cm+5\ cm=35\ cm.$

So, to find the circumference we need radius, by putting formula:

$Radius(r)=\frac{Diameter}{2}$

$Radius(r)=\frac{35}{2}$

$Radius(r)=17.5\ cm.$

Now, to get the circumference of the cake board we put formula:

$Circumference=2\pi r.$

$Circumference=2\times \pi \times 17.5$

$Circumference=35\pi \ cm.$

Therefore, the circumference of the cake board is 35π cm.

4 0

2 years ago

Find the mean absolute deviation of each set of data. Round your answer to two decimal places. Did I do this correctly

melomori [17]

Answer:

3,1,5,4,8,6 is 1.83 for mean absolute deviation

Step-by-step explanation:

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2 years ago

9. Given the point (6,-8) values of the six trig function.

lozanna [386]

Answer:

Here's what I get.

Step-by-step explanation:

9. (6, -8)

The reference angle θ is in the fourth quadrant.

∆AOB is a right triangle.

OB² = OA² + AB² = 6² + (-8)² = 36 + 64 = 100

OB = √100 = 10

$\sin \theta = \dfrac{-8}{10} = -\dfrac{4}{5}\\\\\cos \theta =\dfrac{6}{10} = \dfrac{3}{5}\\\\\tan \theta = \dfrac{-8}{6} = -\dfrac{4}{3}\\\\\csc \theta = \dfrac{10}{-8} = -\dfrac{5}{4}\\\\\sec \theta = \dfrac{10}{6} = \dfrac{5}{3}\\\\\cot \theta = \dfrac{6}{-8} = -\dfrac{3}{4}$

10. cot θ = -(√3)/2

The reference angle θ is in the second quadrant.

∆AOB is a right triangle.

OB² = OA² + AB² = (-√3)² + (2)² = 3 + 4 = 7

OB = √7

$\sin \theta = \dfrac{2}{\sqrt{7}} = \dfrac{2\sqrt{7}}{7}\\\\\cos \theta = \dfrac{-\sqrt{3}}{\sqrt{7}} = -\dfrac{\sqrt{21}}{7}\\\\\tan \theta = \dfrac{2}{-\sqrt{3}} = -\dfrac{2\sqrt{3}}{3}\\\\\csc \theta = \dfrac{\sqrt{7}}{2} \\\\\sec \theta = \dfrac{\sqrt{7}}{-\sqrt{3}} = -\dfrac{\sqrt{21}}{3}\\\\\cot \theta = -\dfrac{\sqrt{3}}{2}$

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2 years ago

Law of cosines: a2 = b2 + c2 – 2bccos(A) Which equation correctly applies the law of cosines to solve for an unknown angle measu

Cloud [144]

The law of cosines is used for calculating one side of the triangle if the angle opposite to that side is given as well as the other sides. For this problem, we are given angle B. Therefore, the correct answer among the choices given is option 1 where a is equal to 5 and c is equal to 3.

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3 years ago

Read 2 more answers

Please help and provide as much detail as possible! Thank you!!

solniwko [45]

34 + (2x2days) + (-1x2) So far it would equal 36$ stock then last day is -3 so 33$ is the stock.

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3 years ago