All categories

2 years ago

Identify two angles that are marked

Mathematics

1 answer:

Natalka [10]2 years ago

5 0

Answer:

Angles G and H are congruent.

Step-by-step explanation:

You might be interested in

A 4-foot tall child walks directly away from a 12-foot tall lamppost at 2 mph. How quickly is the length of her shadow increasin

xz_007 [3.2K]

Answer:

The length of the shadow is increasing with the rate of 1.5 feet per sec

Step-by-step explanation:

Let AB and CD represents the height of the lamppost and child respectively ( shown below )

Also, let E be a point represents the position of child.

In triangles ABE and CDE,

$\angle ABE\cong \angle CDE$ ( right angles )

$\angle AEB\cong \angle CED$ ( common angles )

By AA similarity postulate,

$\triangle ABE\sim \triangle CDE$

∵ Corresponding sides of similar triangles are in same proportion,

$\implies \frac{AB}{CD}=\frac{BE}{DE}$

We have, AB = 12 ft, CD = 4 ft, BE = BD + DE = 6 + DE,

$\implies \frac{12}{4}=\frac{6+DE}{DE}$

$12DE = 24 + 4DE$

$8DE = 24$

$DE=3$

Now, the speed of walking = 2 mph = $\frac{2\times 5280}{3600}\approx 2.933\text{ ft per sec}$

Note: 1 mile = 5280 ft, 1 hour = 3600 sec

Thus, the time taken by child to reach at E

$= \frac{\text{Walked distance}}{\text{Walking speed}}$

$=\frac{6}{2.933}$

= 2.045 hours

Hence, the change rate in the length of shadow

$= \frac{\text{Length of shadow}}{\text{Time taken}}$

$=\frac{3}{2.045}$

= 1.5 ft per sec.

3 0

3 years ago

The candy store is having a 30% off sale.Emma is going to buy $7.50 worth candy. How much will she pay after the discount?

MissTica

Answer:

$5.25.

Step-by-step explanation:

That is $7.50 - 30% of 7.50

= 7.50 - 0.30 * 7.50

= $5.25.

3 0

4 years ago

PLEASE HELP WITH THESE TWO QUESTIONSSS 1. Which value is equivalent to sin20∘?

Nata [24]

Answer:

a) $\cos(70\degree)$

b) 12.72 units

Step-by-step explanation:

Recall that the sine and cosine are completed functions.

This means that: $\sin(x)=\cos(90-x)$

$\sin(20\degree)=\cos(90-20)$

$\sin(20\degree)=\cos(70\degree)$

Recall that: sine ratio is opposite/hypotenuse

$\sin 58=\frac{|PQ|}{15}$

This implies that:

$|PQ|=15\sin 58$

$|PQ|=15(0.848)$

$|PQ|=12.72$

4 0

3 years ago

An isosceles triangle in which the two equal sides, labeled a, are longer than the base, labeled b. This isosceles triangle has

Bas_tet [7]

Hey there! I’m happy to help!

We see that the two equal sides are longer than the base. This means that our a will be larger than b. The problem says that one of the longer sides is 6.3. Since the two longer sides are equal, that means that both longer sides are 6.3 cm. Therefore, we can simply subtract these two from the perimeter to find the shorter side, which is the base.

15.7-6.3-6.3=3.1

Therefore, the length of the base is 3.1 cm.

I hope that this helps!

3 0

3 years ago

Which is bigger, 7/8" or 9/16"?

Iteru [2.4K]

7/8 and 9/16

7*2/8*2 = 14/16

14/16 and 9/16

Now since we have a common denominator, we can compare the numerators.

14/16 is greater, so 7/8 is greater than 9/16

Answer: 7/8 is bigger

5 0

3 years ago

Read 2 more answers