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1 year ago

C

Mathematics

2 answers:

Dimas [21]1 year ago

8 0

Answer:

the angle that has the same measure as /2 is A

Gekata [30.6K]1 year ago

6 0

I think its 2c but am not sure

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the total cost of a new autombile, including a 4% sales tax on the price of the automobile, is $28,835. how much of the total co

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Sales tax is $1153.40

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3 years ago

A lamp post with a height of 12 ft casts a shadow of 6 ft. A fire hydrant near it casts a shadow that is 1.5 ft long. How tall i

alex41 [277]

Answer:

3ft

Step-by-step explanation:

We are given that

Height of lamp, h=12ft

Height of shadow, l=6ft

Height of shadow of hydrant, l'=1.5ft

Let height of hydrant=h'

We have to find the height of fire hydrant.

All right triangles are similar

When two triangles are similar then, the ratio of their corresponding sides are equal.

Using the property

$\frac{h}{h'}=\frac{l}{l'}$

$\frac{12}{h'}=\frac{6}{1.5}$

$h'=\frac{12\times 1.5}{6}$

$h'=3$ ft

Hence, the height of fire hydrant=3 ft

3 0

3 years ago

For each part below, give an example of a linear system of

N76 [4]

Answer:

a)g: 3x + 4y = 10 b) a:x+y = 5 c) c: 3x + 4y = 10

h: 6x + 8y = 5 b:2x + 3y = 8 d: 6x + 8y = 5

Step-by-step explanation:

a) Has no solution

g: 3x + 4y = 10

h: 6x + 8y = 5

Above Equations gives you parallel lines refer attachment

b) has exactly one solution

a:x+y = 5

b:2x + 3y = 8

Above Equations gives you intersecting lines refer attachment

c) has infinitely many solutions

c: 3x + 4y = 10

d: 6x + 8y = 5

Above Equations gives you collinear lines refer attachment

i) if we add x + 2y = 1 to equation x + y = 5 to make an inconsistent system.

ii) if we add x + 2y = 3 to equation x + y = 5 to create infinitely system.

iii) if we add x + 4y = 1 to equation x + y = 5 to create infinitely system.

iv) if we add to x + y =5 equation x + y = 5 to change the unique solution you had to a different unique solution

7 0

2 years ago

Which of the following applies the law of cosines correctly and could be solved to find m∠E? ANSWERS: A) cos E = 312 + 392 – 2(3

defon

This question is incomplete because the options were not properly written.

Complete Question

Which of the following applies the law of cosines correctly and could be solved to find m∠E? ANSWERS:

A) cos E = 31²+ 39² – 2(31)(39)

C) 56² = 39² – 2(39) ⋅ cos E

D) 56² = 31² + 39² – 2(31)(39) ⋅ cos E

Answer:

D) 56² = 31² + 39² – 2(31)(39) ⋅ cos E

Step-by-step explanation:

From the above diagram, we see are told to apply the law of cosines to solve for m∠E i.e Angle E

The formula for the Law of Cosines is given as:

c² = a² + b² − 2ab cos(C)

Because we have sides d , e and f and we are the look for m∠E the law of cosines would be:

e² = d² + f² - 2df cos (E)

e = 56

d = 39

f = 31

56² = 39² + 31² - (2 × 39 × 31) × cos E

Therefore, from the above calculation and step by step calculation, the option that applies the law of cosines correctly and could be solved to find m∠E

Is option D: 56² = 31² + 39² – 2(31)(39) ⋅ cos E

8 0

3 years ago

In a right triangle abc, cd is an altitude, such that ad=bc. Find ac, if ab=3 cm, and cd= square root 2 cm.

Mashcka [7]

AC² + BC² = AB² AD² + CD² = AC²

BC² = AB² - AC² BC² + CD² = AC² (AD=BC is given)

BC² = AC² - CD²

AB² - AC² = AC² - CD² (both sides were = to BC²)

AB² + CD² = 2AC²

(3)² + (√2)² = 2AC² (AB=3 and CD=√2 were given)

9 + 2 = 2AC²

11 = 2AC²

$\frac{11}{2}$ = AC²

$\sqrt{\frac{11}{2} }$ = AC

$\frac{11\sqrt{2} }{2}$ = AC

7 0

3 years ago