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3 years ago

Solve for x. A. 6.2 B. 6.4 C. 6.6 D. 6.8

Mathematics

2 answers:

VladimirAG [237]3 years ago

4 0

Answer

x = 6.4

Step by step explanation

The two triangles are similar. Therefore, they are in proportion.

8/10 =x/8

x = (8*8)/10

x = 64/10

x = 6.4

The value of x is 6.4

Thank you.

Rudiy273 years ago

4 0

Answer:

The correct answer option is B. 6.4.

Step-by-step explanation:

We know that in a pair of triangles, if two pairs of corresponding angles are congruent, then the triangles are similar. And if the two angle pairs are similar then the third pair must also be equal.

So, the corresponding sides are also proportional and we can write them as:

$\frac{8}{10} = \frac{x}{8}$

Now solve for x by cross multiplication to get:

$x = \frac{64}{10}$

$x=6.4$

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Which expression is equivalent to \left(3^{-6}\times 3^{3}\right)^{-1}\normalsize?(3 −6 ×3 3 ) −1 ? 3^{-19}3 −19 3^{18}3 18 3^{-

mars1129 [50]

Answer:

Step-by-step explanation:

Given the expression

$\left(3^{-6}\times 3^{3}\right)^{-1}\\$

According to law of indices, this can be written as;

$\left(3^{-6+3})^{-1}\\\\= (3^{-3})^{-1}\\\\= 3^{-3*-1}\\\\= 3^3\\\\= 27$

Hence the required answer is 27

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3 years ago

How many seconds are there in a month of 30 days express it in scientific notation

Evgesh-ka [11]

Answer: 2.592 x 10^6 seconds

Explanation:

There are 3600s in 1 hr

And 24hrs in 1 day which mean

There are 3600 x 24 = 86400s in 1 day

And one month = 30 days

86400 x 30 = 2, 592, 000s in 1 month

Write in scientific notation:

2, 592, 000 = 2.592 x 10^6

6 0

3 years ago

In hypothesis testing, if the null hypothesis has been rejected when the alternative hypothesis has been true, _____. a. a Type

lara31 [8.8K]

Answer:(c)

Step-by-step explanation:

Given : In a hypothesis testing the null hypothesis has been rejected when the alternative hypothesis has been true.

Find : to find that the given decision is create type I error , type II error or right decision has been taken

Step by step :

In hypothesis testing there are 2 types of error.

(1)Type I error :- if the null hypothesis is rejected when it is true, is known has Type I error .

(2)Type II error:- if the null hypothesis is accepted when alternative hypothesis is true, is known as type II error.

Since here null hypothesis has been rejected when alternative hypothesis has been true,i.e., the correct decision has been made

Hence option (c) is correct.

4 0

3 years ago

Iron Man Training While training for an iron man competition, Tony bikes for 60 miles and runs for 15 miles. If his bikes speed

ivolga24 [154]

Answer:

Tony biked 1 hour 40 minutes and run 3 hours 20 minutes.

Step-by-step explanation:

How long did Tony speed on his bike?

Let s to be Tony's running speed, then 8s is Tony's biking speed

Let's recall that Time = Distance/Speed

Bike time + Running time = 5 hrs

Replacing with the real values, we have:

60/8s + 15/s = 5

8s as Lowest Common Denominator

60 + 8 * 15 = 5 * 8s

60 + 120 = 40s

-40s = -180

s = -180-40

s = 4.5 ⇒ 8s = 36

Tony run at 4.5 mph and biked at 36 mph

Now, we can calculate the time, this way:

Bike time = Bike distance/Bike speed

Replacing with the real values, we have:

Bike time = 60/36

Bike time = 5/3 (Dividing by 12)

5/3 hours * 60 = 100 minutes or 1 hour 40 minutes

Running time = 5 hours - 1 hour 40 minutes = 3 hours 20 minutes

Tony biked 1 hour 40 minutes and run 3 hours 20 minutes.

4 0

3 years ago

F(x) = x^2-3 What is the average rate of change on the interval [-5, 2] ?

Mumz [18]

Answer:

$(-3)$ .

Step-by-step explanation:

Over this interval, the change in the value of this function is:

$f(-5) - f(2) = 22 - 1 = 21$ .

The corresponding change in the value of $x$ :

$(-5) - 2 = -7$ .

The average rate of change of function $f$ over this interval is equal to the change in the function value divided by the corresponding change in $x$ :

$\begin{aligned}& (\text{average rate of change}) \\ =\; & \frac{(\text{change in function value})}{(\text{change in $x$})} \\ =\; & \frac{f(-5) - f(2)}{(-5) - 2} \\ =\; & \frac{22 - 1}{-7} \\ =\; & \frac{21}{-7} \\ =\; & -3\end{aligned}$ .

Thus, the average rate of change of $f(x) = x^{2} - 3$ over the interval $[-5,\, 2]$ would be $(-3)$ .

7 0

3 years ago