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Llana [10]
3 years ago
7

Please ASAP I don’t really understand the concept

Mathematics
1 answer:
Ket [755]3 years ago
4 0

Answer:

A. 280°

Step-by-step explanation:

Look at angles 1 and 2. Together, they form a straight angle. The measure of a straight angle is 180°.

We are told that the measure of <2 is 40°.

Since angles 1 and 2 together measure 180°, then the measure of <1 must be 140° since 180° - 40° = 140°.

Now we have m<1 = 140°.

Angles 1 and 6 are vertical angles. Vertical angles are congruent.

Therefore, m<6 = 140°.

We have m<1 = 140° and m<6 = 140°.

m<1 + m<6 = 140° + 140° = 280°

Answer: A. 280°

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Diana bought a car for $5000 and plans to sell it to make a 20% profit. What should she sell it for to make the profit she desir
nalin [4]
You need to know 20% of $5000.  "Of" means "times".  

$5000 x 0.20 (which is 20% written as a decimal)

=$1000 profit she wants to make

$5000 (original price) + $1000 (profit) = $6000 (sale price)
4 0
3 years ago
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Present Value Hoew much shuold be deposited in an account paying 7.8% interest compounded monthly in order to have a balance of
Alisiya [41]

Answer: $15385 should be deposited.

Step-by-step explanation:

The principal was compounded monthly. This means that it was compounded 12 times in a year. So

n = 12

The rate at which the principal was compounded is 7.8%. So

r = 7.8/100 = 0.078

It was compounded for 4 years. Therefore,

t = 4

The formula for compound interest is

A = P(1+r/n)^nt

A = total amount in the account at the end of t years. The total amount is given as $21000. Therefore

21000 = P (1+0.078/12)^12×4

21000 = P (1+0.078/12)^48

21000 = P (1+0.0065)^48

21000 = P (1.0065)^48

P = 21000/1.365

P = $15385

6 0
3 years ago
What are the coordinates of P' when you translate P 4 units to the right and 3 unit down?
OLga [1]

Answer:

(3,2)

Step-by-step explanation:

The coordinates of the point P on the given graph is (-1,5).

So, when we translate point P on the graph by 4 units to the right its x-coordinate will change to (- 1 + 4) = 3.

Again, when we translate point P on the graph by 3 units down then its y-coordinate will change to (5 - 3) = 2.

Therefore, the new coordinates of the point P will be (3,2) (Answer)

4 0
3 years ago
Find c, the hypotenuse, rounded to four decimal places, in a right triangle with b = 16 and B = 55
Fudgin [204]

Answer:

c=19.5324

Step-by-step explanation:

In given triangle ABC, we have been give values of angle B=55 degree, angle C is right angle and b=16.

Now using those values, we need to find the value of side b.

apply  formula of sin

\sin\left(B\right)=\frac{AC}{AB}

\sin\left(55\right)=\frac{16}{c}

0.819152=\frac{16}{c}

0.819152c=16

c=\frac{16}{0.819152}

c=19.5323944762

Hence final answer rounded to four decimal places is c=19.5324

4 0
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the dimensions of the oven tray is 600mm by 500mm. Each cake tin is 25cm in diameter. How many cake tins can be fit on the oven
gulaghasi [49]

That's 60cm by 50cm

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