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3 years ago

7

You're standing 80 feet from the base of a building . You estimate that angle of elevation from your feet to the top is about 70

°. About how tall is the building?

1 answer:

pogonyaev3 years ago

6 0

Probably about (at least) 120 feet.

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For the given bond, whose interest rate is provided, find the semiannual interest payment and the

Vika [28.1K]

Answer:

The semiannual interest payment is $485.5

The total interest earned over the life of the bond is $10,681

Step-by-step explanation:

The formula of the simple interest is I = Prt, where

P is the money invested
r is the interest rate in decimal
t is the time in years

∵ The bond is $20,000

∴ P = 20,000

∵ First Income Fund 11-year bond at 4.855%

∴ t = 11

∴ r = 4.855%

- Change it to decimal by divide it by 100

∴ r = 4.855 ÷ 100 = 0.04855

∵ The semiannual interest payment = P × r × half a year

∴ The semiannual interest payment = 20,000 × 0.04855 × $\frac{1}{2}$ (1)

∴ The semiannual interest payment = 485.5

The semiannual interest payment is $485.5

∵ I = Prt

- Substitute the values of P, r and t in the formula

∴ I = 20,000(0.04855)(11)

∴ I = 10,681

The total interest earned over the life of the bond is $10,681

6 0

3 years ago

Match each point label on the box it to its description.

Ahat [919]

A is the minimum value
B is the first quartile
The point with the line through it (next to C) is the median.
The point to the outside of the box is the third quartile.
D is the maximum value.

Hope this helped.

4 0

2 years ago

With a headwind a plane traveled 128 km in 2h. The return trip with a tail wind took 24 min less. Find the air speed of the plan

sertanlavr [38]

Based on the information given, it can be noted that the air speed that the plane has will be 71.1 km per hour.

The number of hours used for the return trip will be:

= 2 hours - 24 minutes.

= 1 hour 36 minutes.

= 1.6 hours.

Therefore, the speed of the air plane will be:

= (128 + 128) / (2 + 1.6)

= 256/3.6.

= 71.1 km per hour.

Learn more about speed on:

brainly.com/question/25860159

6 0

2 years ago

Seth is using the figure shown below to prove Pythagorean Theorem using triangle similarity. In the given triangle ABC, angle A

lana66690 [7]

The relationship between the lengths of the sides of a right triangle are

given by Pythagoras theorem.

Part A: <u>ΔABC is similar to ΔADC</u>

Part B: ΔABC and ΔADC are similar according <u>AA similarity postulate</u>

Part C: <u>DA = 6</u>

Reasons:

Part A:

∠A = 90°

Segment AD ⊥ Segment BC

Location of point D = Side BC

Part A: In triangle ΔABC, we have;

∠A = 90°, ∠B = 90° - ∠C

In triangle ΔADC, we have;

∠ADC = 90°, ∠DAC = 90° - ∠C

∴ <u>ΔABC is similar to ΔADC</u> by Angle-Angle, AA, Similarity Postulate

Part B: The triangles are similar according to <u>AA similarity postulate</u>,

because two angles in one triangle are equal to two angles in the other

triangle and therefore, by subtraction property of equality, the third angle

in both triangles are also equal.

Part C: The length of DB = 9

The length of DC = 4

Required: Length of segment DA

In triangle ΔABD, we have;

∠BDA = 90°= ∠ADC

∠DAC ≅ ∠B by Congruent Parts of Congruent Triangles are Congruent

Therefore;

ΔABD ~ ΔADC by AA similarity, which gives;

$\displaystyle \frac{\overline{DA}}{\overline{DC}} = \frac{\overline{BD}}{\overline{DA}}$

$\overline{DA}^2$ = $\overline{DC} \times \overline{BD}$

Which gives;

$\overline{DA}^2$ = 4 × 9 = 36

$\overline{DA}$ = √(36) = 6

$\overline{DA}$ <u> = 6</u>

Learn more here:

brainly.com/question/2269451

3 0

2 years ago

If you wanted the item that cost the most at the top of the table, you would sort in descending order. true false

Leya [2.2K]

It is true because u need to sort it so u can find the one that cost the most.

6 0

2 years ago

Read 2 more answers