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2 years ago

How do you construct angle 22 and half

Mathematics

2 answers:

yaroslaw [1]2 years ago

4 0

Answer:

Below.

Step-by-step explanation:

First draw an angle of 90 degrees.

Then bisect it to give an angle of 45 degrees.

Finally bisect the 45 degree angle.

s344n2d4d5 [400]2 years ago

3 0

Answer:

Construct a right angle and bisect it twice

Step-by-step explanation:

22 1/2° = 90°/4

To construct an angle with this measure, construct a right angle, then bisect it, then bisect one of the 45° angles that result.

Or, instead of bisecting the right angle, you can use it to create an isosceles right triangle, then bisect one of the 45° angles.

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Ayo helppp ill give u anthing

kicyunya [14]

Answer:

16.9 m

Step-by-step explanation:

Start with a half a circle. The central angle of a semicircle is 180 deg.

Now subtract 21 deg on each side.

180 - 21 - 21 = 138

The central angle is 138 deg.

The radius is 7 m.

Now we use the formula for the length of an arc of a circle given the radius of the circle and the central angle of the arc.

$s = \dfrac{n}{360^\circ}2 \pi r$

$s = \dfrac{138^\circ}{360^\circ}2(3.14159)(7~m)$

$s = 16.9~m$

4 0

2 years ago

The sum of Ali and Mel's age is 39. If Mel is 3 years younger than twice Ali's age, how old is Mel?

olga55 [171]

Answer:

Age of Mel is 25 years.

Step-by-step explanation:

It is given that,the sum of Ali and Mel's age is 39. If Mel is 3 years younger than twice Ali's age.

Let 'x' be the Ali's age and 'y' be the Mel's age

<u>To find the value of x and y</u>

sum of Ali and Mel's age is 39

⇒ x + y = 39 ------(1)

Mel is 3 years younger than twice Ali's age

⇒ y = 2x - 3 -------(2)

⇒ 2x - y = 3 -----(3)

(1) + (3) ⇒

x + y = 39

2x - y = 3

----------------

3x = 42

x = 42/3 = 14

y = 2x - 3 = 14*2 - 3 = 25

Therefore the age of Ali = 14

Age of Mel = 25

4 0

2 years ago

Domain of the function of a graph with coordinates (-3,-2)

olga2289 [7]

Answer:

Domain is -3

Step-by-step explanation:

Given that coordinate of a graph is (-3, -2)

We have to find out the domain.

We know that if A and B are two sets, a mapping from A to B is the subset of cartesian product AxB.

Domain is the set of values of A which have images in B.

Use the above definition.

We have A = {-3,...} and B = {-2,....}

The mapping is from -3 to -2

Hence domain is -3

6 0

2 years ago

√₂

snow_lady [41]

Answer:

$2000 was invested at 5% and $5000 was invested at 8%.

Step-by-step explanation:

Assuming the interest is simple interest.

<u>Simple Interest Formula</u>

I = Prt

where:

I = interest earned.
P = principal invested.
r = interest rate (in decimal form).
t = time (in years).

Given:

Total P = $7000
P₁ = principal invested at 5%
P₂ = principal invested at 8%
Total interest = $500
r₁ = 5% = 0.05
r₂ = 8% = 0.08
t = 1 year

Create two equations from the given information:

$\textsf{Equation 1}: \quad \sf P_1+P_2=7000$

$\textsf{Equation 2}: \quad \sf P_1r_1t+P_2r_2t=I\implies 0.05P_1+0.08P_2=500$

Rewrite Equation 1 to make P₁ the subject:

$\implies \sf P_1=7000-P_2$

Substitute this into Equation 2 and solve for P₂:

$\implies \sf 0.05(7000-P_2)+0.08P_2=500$

$\implies \sf 350-0.05P_2+0.08P_2=500$

$\implies \sf 0.03P_2=150$

$\implies \sf P_2=\dfrac{150}{0.03}$

$\implies \sf P_2=5000$

Substitute the found value of P₂ into Equation 1 and solve for P₁:

$\implies \sf P_1+5000=7000$

$\implies \sf P_1=7000-5000$

$\implies \sf P_1 = 2000$

$2000 was invested at 5% and $5000 was invested at 8%.

Learn more about simple interest here:

brainly.com/question/27743947

brainly.com/question/28350785

5 0

1 year ago

Find the complete factored form of the polynomial -24a6b4-40a3

Naddik [55]

For this case we have the following polynomial:

$-24a ^ 6b ^ 4-40a ^ 3$

We must find the greatest common factor of the terms of the polynomial.

The GCF of the coefficients is given by:

$24 = 3 * 8\\40 = 5 * 8$

Then we look for the GFC of the variables:

We have then:

$a ^ 6 = a ^ 3a ^ 3\\a ^ 3 = a ^ 3$

Finally rewriting we have: $-24a ^ 6b ^ 4-40a ^ 3 = -8a ^ 3 (3a ^ 3b ^ 4 + 5)$

Answer:

the complete factored form of the polynomial is:

$-8a ^ 3 (3a ^ 3b ^ 4 + 5)$

8 0

2 years ago

How do you construct angle 22 and half ​

How do you construct angle 22 and half