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2 years ago

Santa has many toys to deliver on Elm Street. If there are 48 kids that live on Elm

Mathematics

1 answer:

kobusy [5.1K]2 years ago

7 0

Answer: 3 : 1

Step-by-step explanation:

We know that there are 48 kids in Elm street.

12 of them are boys, then the number of girls will be:

48 - 12 = 36

So there are 12 boys and 36 girls.

Then the ratio of girls to boys is 36:12

We can divide both numbers by the same number and we will get an equivalent ratio, if we divide by 12 in both sides, we have:

36/12 : 12/12

3 : 1

Then the ratio is 3 to 1.

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X - y = 4 x + y = 8 The x-coordinate of the solution to the system shown is _____.

Valentin [98]

Hello :
X - y = 4...(1)
x + y = 8...(2)
(1)+(2) :2x= 12

The x-coordinate of the solution to the system shown is __6___.

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2 years ago

Read 2 more answers

Triangle ABC has side lengths: V6, V2, and 2/2 units.

Morgarella [4.7K]

Answer:

90°, 60°, and 30°

60°.

Step-by-step explanation:

The triangle ABC has side lengths √6, √2, and 2√2 units.

It is clear that the triangle ABC is right triangle because (2√2)² = (√6)² + (√2)² that means the side lengths satisfy the Pythagoras Theorem.

Now, if the angle between hypotenuse (2√2 units) and base (√2 units) is $\theta$ , then

$\cos \theta = \frac{\sqrt{2} }{2\sqrt{2} } = \frac{1}{2}$

Hence, $\theta$ = 60°

Therefore, the three angles of the triangle are 90°, 60°, and 30°.

Now, if the base of the triangle is 16 units, then other two side lengths will also change proportionally to remain the triangle a right triangle.

And in that case the base angle will remain 60°. (Answer)

6 0

3 years ago

Solve the equation 0.5p -3.45= -1.2.

ddd [48]

Answer:

4.5

Step-by-step explanation:

0.5p-3.45=-1.2

add 3.45 to -1.2 which would leave the equation to look like

0.5p=2.25

then divide 0.5 to both sides cancelling 0.5 leaving the answer to be

p=4.5

6 0

3 years ago

A boy, flying a kite, holds the string 5 feet above the ground and plays out string at 2 ft./sec. as the kite moves horizontally

yKpoI14uk [10]

Answer:x = 75

Step-by-step explanation:y=105 - 5 = 100 ft

z=125 ft

dz/dt=2 ft/sec

by using Pythagorean Theorem, we find x

x^2 + 100^2 = 125^2

x = 75

4 0

2 years ago

On circle O below, the measure of FJ is 84º . The measure of GH is 76°. What is the measure of

Vsevolod [243]

Given:

Measure of arc FJ = 84°

Measure of arc GH = 76°

To find:

The measure of angle HKJ.

Solution:

The image of the question is attached below.

Angles inside the circle theorem:

If two chords intersect inside a circle, then the measure of each angle is one half the sum of the measures of the intercepted arc and its vertical arc.

$$\Rightarrow m \angle G K H=\frac{1}{2}(m(a r \ G H)+m(a r \ F J))$

$$\Rightarrow m \angle G K H=\frac{1}{2}\left(76^{\circ}+84^{\circ}\right)$

$$\Rightarrow m \angle G K H=\frac{1}{2}\left(160^{\circ}\right)$

$\Rightarrow m \angle G K H=80^{\circ}$

Sum of the adjacent angles in a straight line is 180°.

⇒ m∠GKH + m∠HKJ = 180°

⇒ 80° + m∠HKJ = 180°

Subtract 80° from both sides.

⇒ 80° + m∠HKJ - 80° = 180° - 80°

⇒ m∠HKJ = 100°

The measure of ∠HKJ is 100°.

8 0

2 years ago