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4 years ago

Use the table and diagram to answer this question. (I attached the picture)

Mathematics

1 answer:

iragen [17]4 years ago

3 0

We have a right triangle with two of the legs known (7 and 4). The hypotenuse is unknown. Because of this, we will use the tangent trigonometric function.

Tangent of an angle is equal to the ratio of the opposite and adjacent sides
tan(angle) = opposite/adjacent

Divide those two sides to get
opposite/adjacent = 7/4 = 1.75

Look through the table and see which value in the "tan(x)" column is closest to 1.75, and that happens to be 1.7321. It is in the bottom row corresponding to 60 degrees.

So the final answer is choice D) 60 degrees

Note: it turns out that the angle theta is roughly 60.2551187 degrees

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Justify your reasoning

love history [14]

Answer:

Yes

Step-by-step explanation:

You can conclude that ΔGHI is congruent to ΔKJI, because you can see/interpret that there all the angles are congruent with one another, like with vertical angles (∠GIH and ∠KIJ) and alternate interior angles (∠H and ∠J, ∠G and ∠K).

We also know that we have two congruent sides, since it provides the information that line GK bisects line HJ, meaning that they have been split evenly (they have been split, with even/same lengths).

So now we have three congruent angles, and two congruent sides. This is enough to prove that ΔGHI is congruent to ΔKJI,

7 0

3 years ago

In triangle ABC, line A.B.=CB Angle ABC equals 4X -3, and angle CAB equals X -3, what is angle ACB

Soloha48 [4]

Answer:

∠ACB = 28.5

Step-by-step explanation:

In triangle ABC,

angle CAB = x-3

angle ABC = 4X-3

It is also given that AB=CB

We know that if two sides of any triangle are equal then corresponding sides must also be equal.

Hence

angle ACB = angle CAB

angle ACB = x-3 {Given that angle CAB = x-3 }

We know that sum of all three angles of a triangle is 180 degree so let's add given angles

angle ACB + angle CAB + angle ABC = 180

(x-3) + (x-3) + (4x-3) = 180

x-3 + x-3 + 4x-3 = 180

6x-9 = 180

6x = 180+9

6x = 189

x = 189/9

x= 31.5

Now plug value of x into

angle ACB = x-3 = 31.5-3 = 28.5

Hence final answer is

∠ACB = 28.5

3 0

3 years ago

If copies cost .08 per copy but you buy a fuscount card for 7.50 and the copies are .05 how many copies will make it worth the d

timurjin [86]

Answer:

The number of copies that will make it worth the discount card is 250.

Step-by-step explanation:

1. Let's review the information provided to answer the question correctly:

Cost per copy without discount = US$ 0.08

Cost per copy with discount = US$ 0.05

Cost of discount card = US$ 7.50

2. How many copies will make it worth the discount card?

For finding out this number of copies, we will use the following equation:

x = Number of copies that will make it worth the discount card

0.08x = 0.05x + 7.50

0.03x = 7.50 (Like terms)

3x = 750 (Multiplying by 100 at both sides)

x = 250 (Dividing by 3 at both sides)

The number of copies that will make it worth the discount card is 250.

Note: Same answer to question 14127203, answered by me today.

7 0

3 years ago

Haruka owns an umbrella factory. The revenue, RRR, she makes from selling nnn umbrellas is given by the function R(n)=18nR(n)=18

Levart [38]

Answer:

E(n) = n + 5

Explanation:

The profit is the difference between the amount of money received as a revenue and the amount of money spent as expenses.

This means that:

Profit = Revenue - Expenses

Rearrange the formula to solve for the expenses, we get:

Expenses = Revenue - Profit

We are given that:

Revenue = R(n) = 18n

Profit = P(n) = 17n - 5

Substitute in the above formula to get the formula for expenses as follows:

E(n) = R(n) - P(n)

E(n) = 18n - (17n-5)

E(n) = 18n - 17n + 5

E(n) = n + 5

Hope this helps :)

5 0

3 years ago

Factorise 10x squared +19x+6

melomori [17]

Answer:

The answer is (2x+3)(5x+2)

6 0

3 years ago

Read 2 more answers