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3 years ago

Part B: How many children chose not to sign up for swimming or canoeing?

Mathematics

1 answer:

masha68 [24]3 years ago

8 0

Answer:hvh glg

Step-by-step explanation:

yvuv

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Use an algebraic equation to find the measure of each angle that is represented in terms of x.

GuDViN [60]

The measure of each angle is 117°

Explanation:

Given that the two angles are (11x-26)° and (7x+26)°

We need to determine the measure of each angle.

Measure of angles:

From the figure, it is obvious that the two angles are vertically opposite angles.

By definition, we know that, the vertically opposite angles are always equal.

To determine the measure of each angle, we shall first find the value of x.

Thus, we have,

$11x-26=7x+26$

$4x-26=26$

$4x=52$

$x=13$

Thus, the value of x is 13

Now, substituting $x=13$ in the angle (11x-26)°, we get,

$(11(13)-26)^{\circ}=(143-26)^{\circ}$

$=117^{\circ}$

The measure of the angle is 117°

Similarly, substituting $x=13$ in the angle (7x+26)°, we get,

$(7x+26)^{\circ}=(7(13)+26)^{\circ}$

$=117^{\circ}$

The measure of the angle is 117°

Hence, the measure of each angle is 117°

6 0

3 years ago

If a is an integer, which of the

sweet [91]

So to work this out we need to find the 4th root of each of those and pick the one that gives an integer.

A: $\sqrt[4]{1.6*10^1^1} = 632.455...$ This is a decimal therefore not an integer.

B: $\sqrt[4]{1.6*10^1^2} =1124.682...$ Again a decimal, therefore not an integer.

C: $\sqrt[4]{1.6*10^1^3} =2000$ This is a whole number, so it is an integer.

D: $\sqrt[4]{1.6*10^1^4} =3556.558...$ Decimal, therefore not an integer

E: $\sqrt[4]{1.6*10^1^5} =6324.555...$ Again a decimal, not an integer.

The only one that gives an integer when put to the 4th root is C, therefore:

$1.6*10^1^3$ could be A^4, as the 4th root of it is an integer.

5 0

3 years ago

A 4 meter ladder leans against a house forming a

Ket [755]

Answer:

2.meters

Step-by-step explanation:

Lenght of ladder = 4 m

θ = 30°

To obtain h;

Using Pythagoras rule :

Sinθ = opposite / hypotenus

Hypotenus = 4 ; opposite = h

Sin 30 = h / 4

0.5 = h / 4

h = 0.5 * 4

h = 2 m

Hence, distance between th efoot of ladder and the base of the wall is 2 m

6 0

2 years ago

57,600 at 4% compounded semiannually for 3 years

patriot [66]

The answer is 64,866.96, hop this helped!!

4 0

3 years ago

lena wants to buy a computer that costs $900 dollars. she already. has $473 dollars saved. her grandmother will pay her $7 an ho

Rama09 [41]

If you would like to know how many hours will Lena need to work before she can afford to buy the computer, you can calculate this using the following steps:

$900 - $473 = $427

$427 / $7 = 61 hours of yard work

Result: Lena will need to work 61 hours before she can afford to buy the computer.

6 0

2 years ago

Read 2 more answers