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Feliz [49]
4 years ago
10

HELP PLEASE!! VERY APPRECIATED •In the triangle below what is the tangent of 30°?

Mathematics
2 answers:
AlekseyPX4 years ago
8 0

Answer: D

Step-by-step explanation:

Tangent is...

other leg/ adjacent leg

Brums [2.3K]4 years ago
7 0

Answer:

The correct answer is D. 1/√3

Step-by-step explanation:

The ratio of the opposite side and the adjacent side to the given angle is the tangent.

According to the image below formula is:

tangent(α)=a/b

a= oppositive side: the side in front of the given angle.

b= adjacent side: the side next to the given angle.

α= the given angle.

According to the image, the value of “a” is 1 and there is √3 for “b”.

So, the correct answer is D. 1/√3

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Emily and Holly took a road trip together. Emily drove at an average of 45 miles per hour for the first 3/7 of the total distanc
Elan Coil [88]
Emily drove 3/7 of the total distance and holly drove the rest which explains that holly drove 4/7 of the whole distance.

if 4 parts of the distance equals 24 miles, then 1 part would be 24/4 is 6.
since emily drove 3 parts of the whole distance, it is 6 × 3 = 18 miles.

travelling time of emily = 18/45 = 0.4 hr
travelling time of holly = 24/54 = 0.4 hr
--> total traveling time = 0.8 hr

i hope it is right
3 0
3 years ago
Simplify the expression. x^4/ x^7 <br> a x-11<br> b x-3<br> c x11<br> b x3
maksim [4K]

Answer:

b

Step-by-step explanation:

\frac{x^4}{x^7} =x^4 \times x^{-7} =x^{4-7} =x^{-3}

4 0
3 years ago
Read 2 more answers
debt payments of $800 due now and $1400 due in 5 months are to be repaid by a payment of $1000 in 3 months and a final payment i
loris [4]

Answer:

$1,304.70

Step-by-step explanation:

If interest 6% annually, monthly is 0.5%.

The debt in 5 months will be 800 plus compounded interest for 5 months plus new due debt

800(1.005)^5+1400=2220.201

In 3 more months the debt will be 2220.201 plus compounded interest for 3 months minus payment

2220.201(1.005)^3-1000=1253.67

After 8 months the debt would be 1253.67 plus compounded interest for 8 months

2220.201(1.005)^3=1304.70

Then the size of the final payment would be $1,304.70

5 0
4 years ago
The mean annual income for adult women in one city is $28,520 and the standard deviation of the incomes is $5600. The distributi
pshichka [43]

Answer:

E(\bar{x}) = 28520

Standard error of mean = 689

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = $28,520

Standard Deviation, σ = $5600

Mean of sampling distribution =

E(\bar{x}) = \mu = 28520

As per Central Limit Theorem, if the sample size is large enough, then the sampling distribution of the sample means follow approximately a normal distribution.

Sample size, n = 66

Since the sample size is large, we can use normal distribution for approximation.

Standard error of mean =

\displaystyle\frac{\sigma}{\sqrt{n}} = \frac{5600}{\sqrt{66}} = 689.31 \approx 689

7 0
3 years ago
3. A fast food restaurant has the following options for toppings on their hamburgers: mustard, ketchup, mayo, onions,
Hunter-Best [27]

Answer:

35

Step-by-step explanation:

Given that a fast food restaurant has the following options for toppings on their hamburgers: mustard, ketchup, mayo, onions,  pickles, lettuce, and tomato.

A customer can choose from these 7 options 4 different options in 7C4 ways

This is because order does not matter here

So we use combinations here

Total no of ways a customer choose four different toppings from these

options=7C4

=35

Answer is 35

7 0
3 years ago
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