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qwelly [4]
3 years ago
5

PLEASE HELP WiLL MAKE BRAINLIEST> A bird sits on top of a lampost. The angle of depression from the bird to the feet of an ob

server standing away from the lampost at 35 degrees. The distance from the bird to the observer is 25 meters. How tall is the lampost? Draw a diagram, label it, and show how to find this value.

Mathematics
1 answer:
Lisa [10]3 years ago
4 0

See the attached picture:

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Mr. Helsley wishes to save atleast $1500 in 12 months. If he saved $300 during the first 4 months, what is the least possible av
faust18 [17]

Answer:he must save an average of $150 or more in each of the remaining 8 months.

Step-by-step explanation:

Mr. Helsley wishes to save at least $1500 in 12 months. If he saved $300 during the first 4 months, then the amount left would be

≥ 1500 - 300

Let x represent the least possible average amount that he must save in each of the remaining 8 months. This means that the total amount that he would save in the last 8 months would be 8x. Therefore,

300 + 8x ≥ 1500

8x ≥ 1500 - 300

8x ≥ 1200

x ≥1200/8

x ≥ 150

3 0
4 years ago
Two​ trains, Train A and Train​ B, weigh a total of 489 tons. Train A is heavier than Train B. The difference of their weights i
makvit [3.9K]

Answer:

Weight of Train A = 454 tons

Weight of Train B = 35 tons

Step-by-step explanation:

It is given that:

Let,

A represent weight of Train A

B represent weight of Train B

According to given information:

A + B = 489      Eqn 1

A - B = 419       Eqn 2

Adding Eqn 1 and 2

A + B + A - B = 489 + 419

2A = 908

Dividing both sides by 2

\frac{2A}{2}=\frac{908}{2}\\A = 454

Putting A = 454 in Eqn 1

454 + B = 489

B = 489 - 454

B = 35

Therefore,

Weight of Train A = 454 tons

Weight of Train B = 35 tons

5 0
3 years ago
Please help solve for x..
aalyn [17]

Answer:

x = 1 or x = -1

Step-by-step explanation:

Given equation:

x^{100}-4^x \cdot x^{98}-x^2+4^x=0

Factor out -1:

\implies -1(-x^{100}+4^x \cdot x^{98}+x^2-4^x)=0

Divide both sides by -1:

\implies -x^{100}+4^x \cdot x^{98}+x^2-4^x=0

Rearrange the terms:

\implies 4^x \cdot x^{98}-4^x-x^{100}+x^2=0

\textsf{Apply exponent rule} \quad a^{b+c}=a^b \cdot a^c \quad \textsf{to }x^{100}:

\implies 4^x \cdot x^{98}-4^x-x^{98}x^2+x^2=0

Factor the first two terms and the last two terms separately:

\implies 4^x(x^{98}-1)-x^2(x^{98}-1)=0

Factor out the common term (x^{98}-1) :

\implies (4^x-x^2)(x^{98}-1)=0

<u>Zero Product Property</u>:  If a ⋅ b = 0 then either a = 0 or b = 0 (or both).

Using the <u>Zero Product Property</u>, set each factor equal to zero and solve for x (if possible):

\begin{aligned}x^{98}-1 & = 0 & \quad \textsf{or} \quad \quad4^x-x^2 & = 0 \\x^{98} & =1 & 4^x & = x^2 \\x & = 1, -1 & \textsf{no}& \textsf{ solutions for } x \in \mathbb{R}\end{aligned}

Therefore, the solutions to the given equation are: x = 1 or x = -1

Learn more here:

brainly.com/question/27751281

brainly.com/question/21186424

3 0
2 years ago
<img src="https://tex.z-dn.net/?f=%288%20%2B%204%20%2B%203%29%20%2B%20%286%20%2B%205%20%2B%2011%29%20%3D%20" id="TexFormula1" ti
marta [7]

Answer:

= 37

Step-by-step explanation:

(8+4+3) + (6+5+11)

= 15 + 22

= 37

3 0
3 years ago
Use synthetic division to determine f(-2) for the function f(x)=9x^3-18x^2-16x+32
Verizon [17]

Answer: -80

Step-by-step explanation:

7 0
3 years ago
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