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1 year ago

7) Which statement about perpendicular lines is true?

Mathematics

2 answers:

OLEGan [10]1 year ago

6 0

A. Perpendicular lines form 90 degree angles

agasfer [191]1 year ago

3 0

Answer:

is the a. Perpendicular lines form 90° angles.

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During their last game, the Miami Dolphins scored ͸ times for a total score of ͵Ͳ points. They scored ͹ points for each touchdow

Karolina [17]

Answer:

The Miami Dolphins had 3 touchdowns and 3 field goals.

Step-by-step explanation:

It is given that During their last game, the Miami Dolphins scored 6 times, for a total score of 30 points. They scored 7 points for each touchdown and 3 points for each field goal.

We need to write and solve the system of equations to find the total touchdowns and field goals scored.

Let x represents the number of touchdowns.

Let y be the number of field goals.

It is given that the Miami Dolphins scored 6 times

$x+y=6$

$x=6-y$ ....(1)

They scored 7 points for each touchdown and 3 points for each field goal.

The total score is 30 points:

$7x+3y=30$ ...(2)

Put the value of x from equation (1) into equation (2).

$7( 6-y)+3y=30$

$42-7y+3y=30$

$-4y=30-42$

$-4y=-12$

$y=3$

Put y = 3 in equation 1.

$x=6-3$

$x=3$

Hence, the Miami Dolphins had 3 touchdowns and 3 field goals.

4 0

2 years ago

Brandon is cutting 9 boards for a woodworking project. Each board is 4 5/8 feet long. What is the total length of the boards

storchak [24]

41.625 feet long because it is the product of 4 5/8*9

7 0

2 years ago

Read 2 more answers

6. For a two-day rental at the surf shop, it costs $45 to rent a surf board and $60 to rent a paddle board. On a

Masja [62]

Answer:

Step-by-step explanation:

dtttttttttbccccccccccisssssssserrrrrrrrr774444444444

5 0

2 years ago

A box contains 24 transistors,4 of which are defective. If 4 are sold at random,find the following probabilities. i. Exactly 2 a

zavuch27 [327]

SOLUTION

This is a binomial probability. For i, we will apply the Binomial probability formula

i. Exactly 2 are defective

Using the formula, we have

$\begin{gathered} P_x=^nC_x\left(p^x\right?\left(q^{n-x}\right) \\ Where\text{ } \\ P_x=binomial\text{ probability} \\ x=number\text{ of times for a specific outcome with n trials =2} \\ p=\text{ probability of success = }\frac{4}{24}=\frac{1}{6} \\ q=probability\text{ of failure =1-}\frac{1}{6}=\frac{5}{6} \\ ^nC_x=\text{ number of combinations = }^4C_2 \\ n=\text{ number of trials = 4} \end{gathered}$

Note that I made the probability of being defective as the probability of success = p

and probability of none defective as probability of failure = q

Exactly 2 are defective becomes the binomial probability

$\begin{gathered} P_x=^4C_2\times\lparen\frac{1}{6})^2\times\lparen\frac{5}{6})^{4-2} \\ P_x=6\times\frac{1}{36}\times\frac{25}{36} \\ P_x=\frac{25}{216} \\ =0.1157 \end{gathered}$

Hence the answer is 0.1157

(ii) None is defective becomes

$\begin{gathered} \lparen\frac{5}{6})^4=\frac{625}{1296} \\ =0.4823 \end{gathered}$

hence the answer is 0.4823

(iii) All are defective

$\begin{gathered} \lparen\frac{1}{6})^4=\frac{1}{1296} \\ =0.00077 \end{gathered}$

(iv) At least one is defective

This is 1 - probability that none is defective

$\begin{gathered} 1-\lparen\frac{5}{6})^4 \\ =1-\frac{625}{1296} \\ =\frac{671}{1296} \\ =0.5177 \end{gathered}$

Hence the answer is 0.5177

3 0

3 months ago

State the excluded values for each? 70v^2/100v

sleet_krkn [62]

Ok so any number tat makes the denomenator 0 or makes the inside of a square root negative is restricted
we only have a denomenaor so
100v=0
v=0
therefor 0 is the excluded value since 0/0 doesn't make sense

6 0

2 years ago