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Dafna1 [17]
3 years ago
10

A man, 1.5m tall, is on top of a building. He observes a car on the road at an angle of 75°. If the building is 30m, how far is

the car from the building?​
Mathematics
1 answer:
podryga [215]3 years ago
7 0
A man 30 m tall is ab 20 if anything
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Just read the question since im too lazy to put the question down lol
andrey2020 [161]

Step-by-step explanation:

m<6 + 63 = 180

m<6= 180-63

m<6= 117°

m<7 and m<3 are corresponding angles. They match

m<7= 63°

8 0
2 years ago
What are the roots of the polynomial equation x3 - 6x = 3x2 - 8? Use a graphing calculator and a system of equations.
makkiz [27]

Answer:

d : 4, 1, -2.

Step-by-step explanation:

There's no need for a calculator in my opinion because we can use the rational root theorem which states that the equations of this form:

\sum_{i=0}^{n} a_{i}x^i = 0 = a_{0} + a_{1}x + a_2x^2 + ... + a_nx^n = 0\\ a_i \in \mathbb{Z}

Have rational roots, than the roots are of the form: \frac{k \cdot a_o}{p \cdot a_n}, \ where \ k, p \in \mathbb{Z}.

Rewriting the equation we have:

x^3 - 3x^2 -6x + 8 = 0\\By \ our\ previous \ claim \ x \in D_8 \ where \ D_n \ the \ set \ of \ divisors \ of \ n.\\D_8 = \{\pm 1, \pm 2, \pm 4, \pm 8\} \\We \ plug \ in \ some \ number from \ D_8.\\Letting \ x = -2;\\(-2)^3 -3(-2)^2 -6(-2) + 8 = 0 \ \ \ Thus \ x+2 \ is \ a \ factor.\\We \ can \ now \ simplify \ the \ eq. \ using \ Polynomial \ Long \ Division.

x^3 -3x^2 -6x + 8 = (x+2)(Q(x))\\To \ find \ Q \ we \ divide \ the \ original \ equation \ by \ x + 2; which \ yields:\\Q(x) = x^2 - 5x + 4.\\So \ we \ can \ use \ the \ quadratic \ formula \ to \ find \ the \ roots:\\x = 4,x = 1. \\Thus \ x \in \{-2, 1, 4\}. \ \ These \ are \ all \ the \ roots.

5 0
4 years ago
What is 2.068 rounded to the nearest 0.1
Lilit [14]

Answer:

2.1

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Evaulate 9/m + 4 when m = 3
xenn [34]

Answer:

I believe the answer would be 7

7 0
3 years ago
Read 2 more answers
Meghan paid $9,212 for medical insurance and also had $5,700 in medical expenses last year. Her medical insurance covered 80% of
Lerok [7]

Answer:

Meghan cannot claim any amount as a medical deduction.

Step-by-step explanation:

Given that:

Amount paid by Meghan for insurance = $9212

Meghan's medical expenses = $5700

Her medical insurance covers 80% of these expenses

Meghan's adjusted gross income = $65,432

Her medical expenses that are not covered under medical insurance is:

= 5700 \times (1- \dfrac{80}{100})

= 5700 \times (0.2)

= $1140

Similarly, 7.5% of her gross income is;

= 65,432 × (7.5/100)

=$4907.4

Since $1140 < $4907.4

The amount of $1140 does not  exceed $4907.4

Thus, Meghan cannot claim any amount as a medical deduction.

7 0
3 years ago
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