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3 years ago

Draw a number line and mark all described points 0

Mathematics

2 answers:

Arte-miy333 [17]3 years ago

7 0

Do you have a picture of the question or something?

Mariulka [41]3 years ago

7 0

Can you show us a picture or something

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Which of the following expressions represents the solution to -2x ≤ -10?

miv72 [106K]

x=4,3,2 or,1 are the possible

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3 years ago

Determine which one of this is a function

luda_lava [24]

Answer:

Option 2?

Step-by-step explanation:

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3 years ago

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A triangle has one side that measures 5 ft, one side that measures 6 ft, and one side that measures 9 ft.

pochemuha

Area= 14.142

Perimeter=20

Height=3.14

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2 years ago

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What is the approximate area of the circle that fits perfectly inside of the square? Use Pi = 3.14 and round to the nearest tent

Pani-rosa [81]

Answer:

$19.625\text{ cm}^2$

Step-by-step explanation:

GIVEN: A square with base $5\text{ cm}$ , a circle that perfectly fits inside square.

TO FIND: Approximate area of circle.

SOLUTION:

Consider the figure attached.

let the radius of circle be $x\text{ cm}$

radius of circle $=\frac{\text{length of base of square}}{2}$

$x=\frac{5}{2}\text{ cm}$

$x=2.5\text{ cm}$

Area of circle $=\pi(radius)^2$

$=3.14\times(2.5)^2$

$=19.625\text{ cm}^2$

Hence the area of circle that perfectly fits inside the square is $19.625\text{ cm}^2$

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3 years ago

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A post is supported by two wires (one on each side going in oppositedirections) creating an angle of 80° between the wires. The

Vladimir [108]

Using the Sine rule,

$\frac{\sin A}{A}=\frac{\sin B}{B}=\frac{\sin C}{C}$ $\begin{gathered} \text{Let A = 14m,} \\ Substituting the variables into the formula,Where the length of the wires are, AP = xm and BP = ym[tex]\begin{gathered} \frac{\sin80^0}{14}=\frac{\sin40^0}{x} \\ \text{Crossmultiply,} \\ x\times\sin 80^0=14\times\sin 40^0 \\ Divide\text{ both sides by }\sin 80^0 \\ x=\frac{14\sin40^0}{\sin80^0} \\ x=9.14m \end{gathered}$

Hence, the length of wire AP (x) is 9.14m.

For wire BP (y)m,

Sum of angles in a triangle is 180 degrees,

$A^0+P^0+B^0=180^0$ $\begin{gathered} \text{Where A}^0=\text{ unknown,} \\ P^0=80^0\text{ and,} \\ B^0=40^0 \\ A^0+80^0+40^0=180^0 \\ A^0+120^0=180^0 \\ A^0=180^0-120^0 \\ A^0=60^0 \end{gathered}$

Using the side rule to find the length of wire BP,

$\begin{gathered} \frac{\sin 60^0}{y}=\frac{\sin 80^0}{14} \\ \text{Crossmultiply,} \\ y\times\sin 80^0=14\times\sin 60^0 \\ \text{Didive both sides by }\sin 80^0 \\ y=\frac{14\times\sin 60^0}{\sin 80^0} \\ y=12.31m \end{gathered}$

Hence, the length of wire BP (y) is 12.31m

Therefore, the length of the wires are (9.14m and 12.31m).

4 0

1 year ago