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ICE Princess25 [194]

2 years ago

12

To find the area of a triangle, you can use the expression b × h ÷ 2, where b is the base of the triangle and h is its height. W

hat is the area of a triangle with a base of 6 and a height of 4?
The area of the triangle is

I will report any unnecessary comments

1 answer:

rosijanka [135]2 years ago

8 0

Answer:

12

Step-by-step explanation:

first multiply 6 and 4.

then divide by 2.

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Write an equation: At 2 claps, Joe is in position 7 and walking towards zero at a rate of 3 claps per minute.

frutty [35]

Answer:

I'll assume "position 7" refers to distance and not to the order of other people.

Step-by-step explanation:

We want an equation of the form y=mx+b, where m is the slope and b is the y-intercept (the value of y when x=0). We can assume that "claps" is a new measure of distance. 0 claps is the finish.

Let's express the information provided in point format.

"At 2 claps, Joe is in position 7" is (2,7) 2 is the distance (claps) and 7 is the time (minutes)

And we can say the rate is also the slope of a line. "rate of 3 claps per minute" is 3c/m, where c is claps and m is minutes.

We can start a line equation by stating y = 3x + b, where we're using the rate, 3 c/m, as the slope, m.

We need to determine the value of b. We can use the given point (2,7) and solve for m:

y = 3x + b

7 = 3*(2) + b

b = 1

The equation becomes y = 3x + 1

y is the distance in claps and x is the time in minutes.

At a time of 2 claps he is at position of 7. b = 1 means he started 1 clap further from the finish at 0 claps.

To find the time required to reach the finish, we need to know the total distance, in claps.

6 0

2 years ago

If 5^n x 5^3 = 5^6, then n is _____.<br><br> A) 18<br> B) 2<br> C) 3<br> D) 9

Eddi Din [679]

<h3>Answer: C) 3</h3>

The rule we'll use is a^b*a^c = a^(b+c). So we add the exponents.

That means 5^n*5^3 = 5^(n+3)

So 5^n*5^3 = 5^6 turns into 5^(n+3) = 5^6

The bases are equal to 5, so the exponents be equal to one another.

n+3 = 6

n+3-3 = 6-3

n = 3

So 5^3*5^3 = 5^(3+3) = 5^6.

6 0

2 years ago

Read 2 more answers

A random sample of 64 second-graders in a certain school district are given a standardized mathematics skills test. The sample m

svet-max [94.6K]

Answer:

Given : The sample mean score is 51.48 .

The standard deviation for the population of test scores is 15.

The nationwide average score on this test is 50.

To Find : Perform the hypothesis test and compute the P-value?

Solution:

Sample size = n = 64

Since n > 30

So, we will use z test over here

We are supposed to find The school superintendent wants to know whether the second-graders in her school district have greater math skills than the nationwide average.

Hypothesis : $H_0:\mu \leq 50\\H_a:\mu>50$

Formula of z test : $z =\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}$

$x = 51.48\\\mu = 50\\\sigma = 15\\ n = 64$

Substitute the values

$z =\frac{51.48-50}{\frac{15}{\sqrt{64}}}$

$z =0.789$

Find the value of P(z) from z table

p(z)=0.7823

Since we are given that we are supposed to find The school superintendent wants to know whether the second-graders in her school district have greater math skills than the nationwide average.

So, p value = 1-P(z) = 1-0.7823=0.2177

In general , Level of significance is 0.05

So, p value is greater than alpha.

So, we accept the null hypothesis.

5 0

2 years ago

Read 2 more answers

What is a 15 of the sequence -7, 2, 11, ...?<br><br> A. 128<br> B. 110<br> C. 136<br> D. 119

gregori [183]

Answer:

D. 119

Step-by-step explanation:

To find the common difference, we take the second term and subtract the first term

2-(-7) = 9

We check by taking the third term and subtracting the second

11-2 = 9

The common difference is 9

The formula for an arithmetic sequence is

an = a1 +d(n-1)

where a1 is the first term, d is the common difference and n is the number of the term in the sequence

a1=-7, d=9 and we are looking for the 15th term so n=15

a15 = -7 +9(15-1)

a15 = -7+9(14)

=-7 +126

= 119

3 0

3 years ago

an isosceles triangle has a vertex angle of 21.21 degrees. two sides of the triangle are each 17.91 ft long. whats the area of t

lubasha [3.4K]

Answer:

The area of triangle is $A=58.02\ ft^{2}$

Step-by-step explanation:

Let

B -----> the measure of the vertex angle of the isosceles triangle ABC

a and c -----> the two congruent sides of the isosceles triangle ABC

we know that

The area of a triangle applying the law of sines is equal to

$A=\frac{1}{2}(a)(c)sin(B)$

we have

$a=c=17.91\ ft$

$B=21.21\°$

substitute in the formula

$A=\frac{1}{2}(17.91)(17.91)sin(21.21\°)$

$A=58.02\ ft^{2}$

7 0

3 years ago