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2 years ago

Triangle inequalities? Write >, <, =, or NC?

Mathematics

1 answer:

lord [1]2 years ago

6 0

_Award brainliest if helped!
ST > MN
BA > BC
m<a > m<f
m<L < m<R

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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

2 years ago

Order of operation with Integers

kramer

Answer:

-8

Explanation of the question:

7 0

2 years ago

What is the slope of the line with the equation of y=-4x that passes through the point (3,1)

Aleonysh [2.5K]

The question seems incomplete but that could just be my perception.

The slope of y = -4x is -4 as it's the value just in front of the x value. This equation is in the form y = mx+b where m = -4 and b = 0. The m is the slope.

Anything parallel to y = -4x will also have a slope of -4. Parallel lines have equal slopes (but different y intercepts)

Anything perpendicular to y = -4x will have a slope of 1/4. Notice how multiplying the original slope (-4) and the perpendicular slope (1/4) gets you -1. To go from -4 to 1/4, we flip the fraction and the sign. Think of -4 as -4/1 to flip the fraction to -1/4 and then flip the sign to +1/4 or just 1/4.

7 0

2 years ago

only 2/3 of the school districts kindergarten teachers are women. if 59 are men, how many kindergarten teachers in all are emplo

Oxana [17]

Answer:

177

Step-by-step explanation:

2/3 are women.

that means the remainder, 1/3, are men.

59 = 1/3 of all kindergarten teachers (3/3 = 1 representing the "whole").

so,

59×3 = 177

is the number of all kindergarten teachers employed by the school district.

4 0

1 year ago

Let a = 3 – 5i and b = –1 + 7i. Which of the following are true statements? Check all that apply.

Alona [7]

Answer: 2nd and 6th options are correct

Step-by-step explanation: It showed me after I got em wrong

7 0

2 years ago