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Alenkinab [10]
3 years ago
7

A street in San Francisco rises 20 feet for every 100 feet horizontally. What is the measure of the angle of elevation,

Mathematics
1 answer:
SIZIF [17.4K]3 years ago
5 0

Answer:

11°

Step-by-step explanation:

tan ∅ = 20/100 = 0.2

∅ = 11.31°

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What is the value of z?
OLga [1]
Answer:

z = 86

Explanation:

90 - 68 = 12
180 - 78 = 102
102 + 12 = 114
180 - 114 = 86


3 0
3 years ago
Read 2 more answers
A trust fund worth $25,000 is invested in two different portfolios, this year, one portfolio is expected to earn 5.25% interest
OLEGan [10]

Answer:

The amount of money that should be invested at the rate of 5.25% is $12,000 and the amount money that should be invested at the rate of 4% is $13,000

Step-by-step explanation:

we know that

The simple interest formula is equal to

I=P(rt)

where

I is the Final Interest Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

Let

x ------> the amount of money that should be invested at the rate of 5.25%

25,000-x -----> the amount money that should be invested at the rate of 4%

in this problem we have

t=1\ year\\ P_1=\$x\\P_2=\$(25,000-x)\\r_1=0.0525\\r_2=0.04\\I=\$1,150

substitute in the formula above

I=P_1(r_1t)+P_2(r_2t)

1,150=x(0.0525*1)+(25,000-x)(0.04*1)

Solve for x

1,150=0.0525x+1,000-0.04x

0.0525x-0.04x=1,150-1,000

0.0125x=150

x=\$12,000

|$25,000-x=\$13,000

therefore

The amount of money that should be invested at the rate of 5.25% is $12,000 and the amount money that should be invested at the rate of 4% is $13,000

6 0
3 years ago
Read 2 more answers
Answer 1. And 2.for Brainliest
Alekssandra [29.7K]

Answer:

Step-by-step explanation:

10% discount means you pay 90% of the original cost x.

90% of x = $40.50

0.90x = $40.50

x = $40.50/0.90 = $45

:::::

total cost = 1.065·$40.50 ≅ $43.13

4 0
3 years ago
A family has a combined monthly income of $2580. Their food budget is $310/month. What percentage of their monthly income is bud
stellarik [79]

So you have 318/2580 (since the top is the amount of money they use for food and the bottom is the total). You will want to divide it into 2 so 318/2 and 2580/2. Then you will get 159/1290. The divide 159/1290 with 3. So you will get 52/430. It may seem that you will need to divide 430 with 52 now. Once you get that, you will get the decimal 0.123255814. (I used a calculator). Then Move the decimal twice to the right to make that whole percentage. You will get 12 as you whole number (Ignoring the fact you have 3255814 as your remaining.). So the answer for that is….

12%!!

6 0
4 years ago
If X- 6 is the only x-intercept of the graph of a quadratic equation, which statement best describes the discriminant of the equ
Verdich [7]
The rule, letting d=discriminant:

d>0, two real solutions

d=0, one real solution

d<0, no real solution (but there are two imaginary solutions)

So if it has only one real solution, the discriminant is equal to zero.
6 0
3 years ago
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