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Len [333]
2 years ago
8

Given right triangle ABC, what is the value of tan(A)? Five-thirteenths Twelve-thirteenths Twelve-fifths Thirteen-twelfths

Mathematics
2 answers:
WITCHER [35]2 years ago
8 0

Answer:

Twelve-fifths.

Step-by-step explanation:

The diagram is shown below

Given triangle be right angled at B,

Withe reference to \angle A,

Its opposite side is BC=12 , adjacent side is AB=5 and hypotenuse is AC=13

We are to find the value of tan(A)

We know tan=\frac{opposite}{adjacent}

Substituting the above values we get,

tan(A)= \frac{BC}{AB}=\frac{12}{5}

So the answer is Twelve-fifths.

shusha [124]2 years ago
8 0

Answer:

C. \frac{12}{13}

Step-by-step explanation:

cos(Z) = cos(C)

cos(C) = 12/13

Because adjacent side over hypotenuse side length.

Therefore, cos(Z) = 12/13.

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Sierra is selling bracelets to raise money for the Language Club at school. Each bracelet with yellow beads sells for $5. Each b
matrenka [14]

Answer:

Correct answer is:

5y+6r=660\\y=2r+8

Step-by-step explanation:

Given that Number of bracelets with yellow beads is represented by y

Each bracelet with yellow beads is sold for $5.

Total money raised by bracelets with yellow beads = Number of bracelets sold \times Money raised by sale of one such bracelet = 5y

Also Given that Number of bracelets with Orange beads is represented by r

Each bracelet with orange beads is sold for $6.

Total money raised by bracelets with orange beads = Number of bracelets sold \times Money raised by sale of one such bracelet = 6r

Given that total money raised by sale of both type of bracelets is $660.

so, the first equation becomes:

5y+6r=660 ....... (1)

It is also given that "<em>The number of bracelets with yellow beads that Sierra sold is 8 more than twice the number of bracelets with orange beads</em>"

\Rightarrow r =2r+8 ...... (2)

So, by equation (1) and (2), the system of equations is:

5y+6r=660\\y=2r+8

5 0
2 years ago
Alyssa wants to know the gas mileage of her new car. She kept track of the number of miles she traveled and the number of gallon
Anna [14]

Answer:

D


Step-by-step explanation:

Since Alyssa wants to know her gas mileage, which is MILES PER GALLON, she will need to divide total miles by total gallons.

"per gallon" means per 1 unit of gallon, which we will get ONLY IF WE DIVIDE by TOTAL NUMBER OF GALLONS, hence we get "per unit of gallon".

<u>So we need to divide 243.8 miles by 7.71 gallons to get Alyssa's gas mileage.</u>

Answer choice D is right.

3 0
2 years ago
Isosceles △ABC (AC=BC) is inscribed in the circle k(O). Prove that the tangent to the circle at point C is parallel to AB .
timofeeve [1]

Explanation:

Let M be the midpoint of AB. Then CM is the perpendicular bisector of AB. As such, center O is on CM, and OC is a radius (and CM). The tangent is perpendicular to that radius (and CM), so is parallel to AB, which is also perpendicular to CM.

If you need to go any further, you can show that triangles CMA and CMB are congruent, so (linear) angles CMA and CMB are congruent, hence both 90°.

5 0
2 years ago
Which inequality is true if p= 3.4?
BigorU [14]

Answer:

None of the equations are true for p = 3.4

Step-by-step explanation:

In order for the inequality to be valid we need to apply the value for p and check wether or not it is true. We gonna do for each of the following:

A. 3p < 10.2

3*3.4 < 10.2

10.2 < 10.2

Not true, since the left side is equal to the right side and not less.

B. 13.6 < 3.9p

13.6 < 3.9*3.4

13.6 < 13.26

Not true since 13.6 is greater than 13.26

C. 5p > 17.1

5*3.4 > 17.1

17 > 17.1

Not true since 17 is less than 17.1

D. 8.5 > 2.5p

8.5 > 2.5*3.4

8.5 > 8.5

Not true since the left side is equal to the right side.

7 0
2 years ago
Which function has a vertex on the y-axis?
VARVARA [1.3K]

Answer:

f(x) = (x - 2)(x + 2)

Step-by-step explanation:

When you expand out the expression, you should get f(x) = x² - 4, where only vertical movement is present. Therefore, the vertex is on the y-int at (0, -4) and your answer is the 3rd choice.

8 0
2 years ago
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