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3 years ago

6

A rhombus has 10-in. sides, two of which meet to form a 30º angle. Find the area of the rhombus (Hint: Use a special right trian

gle to find the height.).

1 answer:

Mazyrski [523]3 years ago

3 0

[ 10 ] [ 10 sin 30° ] = 50 √3....base x height

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In which quadrants do solutions for the inequality y is less than or equal to two sevenths times x plus 1 exist?

hram777 [196]

Answer:

y will be in every single quadrant

Step-by-step explanation:

So we have the equation $y\leq \frac{2}{7} x+1$ first we will have to look at the equation. It says that y is less than or equal to $\frac{2}{7} x+1$ since y is less than $\frac{2}{7} x+1$ the only place the shaded area where y can be is under the line that is drawn be the equation. When the equation is graphed the y-intercept will be on positive 1 it since slope is rise over run it will look something like the file attached to this. so under the line you can see every single quadrant so that is why it would be that way

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3 years ago

Pls only answer if yk it giving the best answer brainliest!

DaniilM [7]

Answer:

x = 3 and x = -3

Step-by-step explanation:

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4 0

4 years ago

Hello, help me please)

AlladinOne [14]

Answer:

Given equation:

$10^{5x-2}=2^{8x-3}$

Take natural logs of both sides:

$\implies \ln 10^{5x-2}= \ln 2^{8x-3}$

$\textsf{Apply log Power law}: \quad \ln_ax^n=n\ln_ax$

$\implies (5x-2)\ln 10=(8x-3) \ln 2$

Expand brackets:

$\implies 5x\ln 10 - 2\ln 10=8x \ln 2 -3 \ln 2$

Collect like terms:

$\implies 5x\ln 10 - 8x \ln 2 =2\ln 10-3 \ln 2$

Factor left sides:

$\implies x(5\ln 10 - 8 \ln 2) =2\ln 10-3 \ln 2$

$\textsf{Apply log Power law}: \quad \ln_ax^n=n\ln_ax$

$\implies x(\ln 10^5 - \ln 2^8) =\ln 10^2- \ln 2^3$

$\textsf{Apply log Quotient law}: \quad \ln_a\frac{x}{y}=\ln_ax - \ln_ay$

$\implies x\left(\ln\left(\dfrac{10^5}{2^8}\right)\right) =\ln\left(\dfrac{10^2}{2^3}\right)$

Simplify:

$\implies x\left(\ln\left(\dfrac{3125}{8}\right)\right) =\ln\left(\dfrac{25}{2}\right)$

$\implies x=\dfrac{\ln\left(\dfrac{25}{2}\right)}{\ln\left(\dfrac{3125}{8}\right)}$

$\implies x=0.4232297737...$

6 0

2 years ago

There are 266 basketball fans who plan to go to a game. How many buses will be needed, given that each bus can hold 31 fans? Div

kobusy [5.1K]

Exact answer: 8.5

Rounded Answer: 9

7 0

3 years ago

A factory makes 4250 bars of chocolate. There were three kinds of chocolate bars - creamy, milky and

mariarad [96]

Answer:

2525

Step-by-step explanation:

1. Draw a block diagram to illustrate the different types of chocolate bars. (In this diagram, the creamy chocolate bars are shown as orange blocks, the milky chocolate bars as blue blocks and the white chocolate bars as red blocks.)

2. Since the number of creamy chocolate bars was 5 times the number of milky chocolate bars, we can replace one orange block (creamy) with 5 blue blocks (milky).

Since the number of white chocolate bars was 715 more than the number of milky chocolate bars, we replace one red block with one blue block + 715.

3. Looking at the block diagram, find the number of milky chocolate bars (blue block)

4250 – 715 = 3535

7 blue blocks = 3535

1 blue block = 3535 ÷ 7 = 505

The number of milky chocolate bars made was 505.

4. Calculate the number of creamy chocolate bars.

The number of creamy chocolate bars was 5 times the number of milky chocolate bars = 5 × 505 = 2525

8 0

4 years ago