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4 years ago

Emma runs 3/4 mile in 6 minutes. Joanie runs 1 1/2 miles in 11 minutes. Whose speed is greater?

Mathematics

1 answer:

Whitepunk [10]4 years ago

3 0

Amma solve it first then ill tell you what i got as the answer:)

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Solve 5 tan x = 5√(3) for 0° ≤ x ≤ 180°. a. 60° b. 150° c. 30° d. 120°

ladessa [460]

Answer:

$\boxed{a.\:\:\:60\degree}$

Step-by-step explanation:

The given trigonometric equation is

$5\tan(x)=5\sqrt{3}$ for $0\degree \le x\le 180\degree$ .

We divide through by 5 to get;

$\tan(x)=\sqrt{3}$

We take the inverse tangent of both sides to obtain;

$x=tan^{-1}(\sqrt{3})$

$x=60\degree$

Since the tangent ratio is positive, it means $x$ could also be in the 3rd quadrant. But this is outside the given range.

Therefore the correct answer is A

6 0

4 years ago

6.5 ft 6 ft- 11 ft N 5 ft What is the surface area? A 258 square feet B 195 square feet C 228 square feet D 330 square feet

yan [13]

Answer:

Step-by-step explanation:

area of base = 5×11 = 55 ft²

area of triangle = ½×5×6 = 15 ft²

area of rectangular face = 6.5×11 = 71.5 ft²

surface area = 55 + 2×15 + 2×71.5 = 228 ft²

4 0

3 years ago

Identify sinJ as a fraction and as a decimal rounded to the nearest hundredth.

KiRa [710]

In the given right triangle, the trigonometric ratio, sin J has a fractional value of 5/13 and a decimal value of 0.39.

In trigonometry, for a right triangle, the sine (sin) of any angle θ is given as the ratio of its opposite side to the hypotenuse of the triangle, that is, sin θ = (opposite side)/(hypotenuse).

In the question, we are asked to find the trigonometric ratio, sin J, for the given right triangle JKL.

The side opposite to angle J is KL, which has a value of 3 units.

The hypotenuse of the given right triangle is JK, which has a value of 7.8 units.

Thus, sin J can be calculated as:

sin J = KL/JK = 3/7.8 = 5/13 = 0.39.

Thus, in the given right triangle, the trigonometric ratio, sin J has a fractional value of 5/13 and a decimal value of 0.39.

Learn more about trigonometric ratios at

brainly.com/question/20367642

#SPJ1

8 0

2 years ago

ES) 12. There are 2 companies that you can rent a bike from.

sukhopar [10]

Answer:

dghsjdxfkhc,gjmhnfgb

Step-by-step explanation:

7 0

3 years ago

A local retailer claims that the mean waiting time is less than 8 minutes. A random sample of 20 waiting times has a mean of 6.3

rusak2 [61]

Answer:

The claim is not true

Step-by-step explanation:

We are given that A local retailer claims that the mean waiting time is less than 8 minutes.

$H_0:\mu=8$

$H_a:\mu$

A random sample of 20 waiting times has a mean of 6.3 minutes with a standard deviation of 2.1 minutes.

$\bar{x}=6.3$

s = 2.1

n = 20

Since n <30 and population standard deviation is unknown

So,we will use t test

So, $t=\frac{x-\mu}{\frac{s}{\sqrt{n}}}$

$t=\frac{6.3-8}{\frac{2.1}{\sqrt{20}}}$

t=-3.62

α = 0.01

Degree of freedom = df=n-1=20-1=19

$t_{df,\frac{\alpha}{2}}=t_{19,\frac{0.01}{2}}=2.861$

t calculated < t critical

So, we failed to reject null hypothesis

Hence the claim is not true

8 0

4 years ago