Write the sentence as an inequality. 10 times a number x plus 6 is no less than 42.

A figure composed of two quadrilaterals is shown.

Tems11 [23]

Answer:

D a reflection over a line through point P followed by a dilation centered at point P

6 0

3 years ago

Find the value of the variable(s). If your answer is not an integer, leave it in simplest radical form.

Georgia [21]

Answer:

D

Step-by-step explanation:

First, let's find x.

We know that one of the angles is 30. The side opposite to than angle is 11, and x is the adjacent side to it. Therefore, we can use the trig function tangent.

Recall that:

$\tan(x)=opp/adj\\$

Plug in 30 for the angle, 11 for the opposite, and x for the adjacent. Solve for x by cross-multiplying:

$\tan(30)=11/x\\x\tan(30)=11\\x=11/\tan(30)$

From the unit circle, recall that tan(30) is equal to one over the square root of 3. Thus:

$x=11/(1/\sqrt3)\\x=11\cdot\sqrt3\\x=11\sqrt3$

Now, we can use the Pythagorean Theorem to find y. y is the hypotenuse. Thus:

$c^2=a^2+b^2\\c^2=(11\sqrt3)^2+11^2\\c^2=121(3)+121\\c^2=4(121)\\c^2\sqrt{4(121}=2(11)=22$

6 0

3 years ago

Help me please, need to be done today

Varvara68 [4.7K]

Answer:

i think it weak positive im not sure

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

In Spetember of 2013, Mario The Baker introduced a new chocolate cake and hired Doug and Jeremy to bake these cakes. Every custo

professor190 [17]

Answer:

There is a 90.32% probability that the cake was baked by Doug.

Step-by-step explanation:

We have these following probabilities:

A 70% probability that Doug bakes the cake.

A 30% probability that Jeremy bakes the cake.

A 40% probability that a cake baked by Doug gets a thumbs up.

A 10% that a cake baked by Jeremy gets a thumbs up.

One cake was selected at random on 10/01/2014 and got a "thumbs up".

1. Find the probability that the cake was baked by Doug.

The probability that a baked cake gets a thumbs up is:

$P = 0.7*0.4 + 0.3*0.10 = 0.31$

Of those, 0.7*0.4 = 0.28 are baked by Doug.

So the probability is:

$P = \frac{0.28}{0.31} = 0.9032$

There is a 90.32% probability that the cake was baked by Doug.

4 0

3 years ago

The polynomial V(x)=x^2+9x^2-16x-144 represents volume of a shipping crate. Explain how to find the area of the base of the crat

Eddi Din [679]

Answer:

x = − 9 , − 4 , 4

Step-by-step explanation:

Each crate is in the shape of a rectangular solid. Its dimensions are length, width, and height. The rectangular solid shown in the image below has a length

4 units, width 2 units, and height 3

units. Can you tell how many cubic units there are altogether? Let’s look layer by layer.

Breaking a rectangular solid into layers makes it easier to visualize the number of cubic units it contains. This

4 by 2 by 3 rectangular solid has 24 cubic units.

A rectangular solid is shown. Each layer is composed of 8 cubes, measuring 2 by 4. The top layer is pink. The middle layer is orange. The bottom layer is green. Beside this is an image of the top layer that says

Altogether there are 24 cubic units. Notice that 24 is the length × width × height.

The top line says V equals L times W times H. Beneath the V is 24, beneath the equal sign is another equal sign, beneath the L is a 4, beneath the W is a 2, beneath the H is a 3.

The volume, V, of any rectangular solid is the product of the length, width, and height.

V = L W H

We could also write the formula for the volume of a rectangular solid in terms of the area of the base. The area of the base, B, is equal to length × width. B = L ⋅ W

We can substitute

B for L ⋅ W in the volume, formula to get another form of the volume formula.

The top line says V equals red L times red W times H. Below this is V equals red parentheses L times W times H. Below this is V equals red capital B times h.

We now have another version of the volume formula for rectangular solids. Let’s see how this works with the

4 × 2 × 3

Besides the solid is V equals Bh. Below this is V equals Base times height. Below Base is parentheses 4 times 2. The next line says V equals parentheses 4 times 2 times 3. Below that is V equals 8 times 3, then V equals 24 cubic units.

8 0

3 years ago