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kipiarov [429]
3 years ago
11

I didn't get this one question right on a test. Could someone tell me what I did wrong? Plz and ty

Mathematics
1 answer:
ANEK [815]3 years ago
3 0
8 - 5x <-2

8 (-8) - 5x < -2 (-8)

-5x < -10

-5x/-5 < -10/-5

x > 2            (flip the sign because you divided by a negative number

x = 3, 4, 5

your answer is 3, 4, 5

note that it isn't 2, because it isn't a ≥, which means that it cannot be 2

hope this helps


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Robert gets a loan from his bank.
masya89 [10]

Answer:

£10200

Step-by-step explanation:

Amount borrowed (P) = £6000

Rate of interest (R) = 7%

Time (T) = 10 years

First, let us calculate the simple interest (SI) for 10 years.

Formula for simple interest is given as:

S.I.=\frac{PRT}{100}

Plugging the values of P, R and T in the above formula, we find:

S.I.=\frac{6000(7)(10)}{100}

S.I.= £4200

Total money paid back at the end of the 10 years

= £6000 + £4200

= £10200

7 0
2 years ago
What is the minimum angle of rotation (in degrees) that will carry the star onto itself?
zloy xaker [14]

Answer:

When you rotate the regular pentagon \begin{align*}72^\circ\end{align*} about its center, it will look exactly the same. This is because the regular pentagon has rotation symmetry, and \begin{align*}72^\circ\end{align*} is the minimum number of degrees you can rotate the pentagon in order to carry it onto itself.

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
A bag contains 6 green marbles and 4 red marbles. Two marbles are drawn at random as follows; one marble is drawn and not replac
bonufazy [111]

Answer:

4/15

Step-by-step explanation:

4/10*6/9

2/5*2/3

4/15

5 0
3 years ago
Right trapezoid WXYZ is shown. Right trapezoid W X Y Z is shown. Sides X Y and W Z are parallel. Angle W is 73 degrees and angle
Sladkaya [172]

Answer:

∠WXY = 107°

Step-by-step explanation:

In a trapezoid, adjacent angles are supplementary, meaning they add up to 180°. ∠W and ∠WXY are adjacent, so they are supplementary. 180° - 73° = 107°.

Another way to do this is to know that there are 360° in a trapezoid. This is a right trapezoid, so two of the angles are 90°. One angle is 73°. 90° + 90° + 73° = 253°. 360° - 253° = 107°.

I hope this helps :))

3 0
3 years ago
HELP PLZZ will give brainliest &lt;3
melisa1 [442]

Answer:

0

1

Step-by-step explanation:

First question:

You are given a side, a, and its opposite angle, A. You are also given side b. Use that in the law of sines and solve for the other angle, B.

\dfrac{a}{\sin A} = \dfrac{b}{\sin B}

\dfrac{10}{\sin 30^\circ} = \dfrac{40}{\sin B}

\dfrac{1}{0.5} = \dfrac{4}{\sin B}

\sin B = 2

The sine function can never equal 2, so there is no triangle in this case.

Answer: no triangle

Second question:

You are given a side, b, and its opposite angle, B. You are also given side c. Use that in the law of sines and solve for the other angle, C.

\dfrac{b}{\sin B} = \dfrac{c}{\sin C}

\dfrac{10}{\sin 63^\circ} = \dfrac{}{\sin C}

\sin C = \dfrac{8.9\sin 63^\circ}{10}

C = \sin^{-1} \dfrac{8.9\sin 63^\circ}{10}

C \approx 52.5^\circ

One triangle exists for sure. Now we see if there is a second one.

Now we look at the supplement of angle C.

m<C = 52.5°

supplement of angle C: m<C' = 180° - 52.5° = 127.5°

We add the measures of angles B and the supplement of angle C:

m<B + m<C' = 63° + 127.5° = 190.5°

Since the sum of the measures of these two angles is already more than 180°, the supplement of angle C cannot be an angle of the triangle.

Answer: one triangle

3 0
3 years ago
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