The area of the triangle is 56 m2. Find the length of the base.Question 1 options:

56=1/2(x)(x+6)

56=1/2(x2+6)

56=x(x+6)

56=x2+6
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Question 2 (1 point) Question 2 Unsaved
The height of a triangle is 5 m less than its base. The area of the
triangle is 42 m2. Find the length of the base.
Question 2 options:

12 m

11 m

8 m

7 m

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Question 3 (1 point) Question 3 Unsaved
Which equation would best help solve the following problem?

Tyler has a rectangular garden that measures 10 m wide by 13 m long. He wants to increase the area to 208 m2 by increasing the width and length by the same amount. What will be the dimensions of the new garden?
Question 3 options:

208=(10)(13)

208=(10+x)(13+x)

208=(10+13)(x)

208=(10+x2)(13)
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Question 4 (1 point) Question 4 Unsaved
Adina has a rectangular garden that measures 9 m wide by 13 m long. She wants to increase the area to 192 m2 by increasing the width and length by the same amount. What will be the width (shorter dimension) of the new garden?
Question 4 options:

14 m wide

13 m wide

12 m wide

11 m wide

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Question 5 (1 point) Question 5 Unsaved
Holly has a rectangular garden that measures 12 m wide by 14 m long. She wants to increase the area to 255 m2 by increasing the width and length by the same amount. What will be the length (longer dimension) of the new garden?
Question 5 options:

16 m

17 m

18 m

19 m

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Answers

Answer 1

Answer: Answer for Question #1.
The equation use to find the length of the base of a triangle is $56= (1)/(2)(x)(x+6)$ .

Answer for Question #2.
The length of the base of a triangle is 12 m.

Answer for Question #3.
The equation use to find the dimensions of the new garden is
208 = (10 + x)(13 + x).

Answer for Question #4.
The width of the new garden is 12 m.

Answer for Question #5.
The length of the new garden is 17 m.

Answer 2

Answer:

Answer:

Step-by-step explanation:

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Divide £56 in a ratio of 4:3

Answers

÷you need to find how many parts there are ; 4 + 3 = 7

you then need to divide the number by the parts ; £56 ÷ 7 = £8

1 part = £8

4:3, 4 parts : 3 parts.

4 x £8 = £32

3 x £8 = £24

4:3 = £32:£24

to check your answer ;

add both parts of your final answer , £32 + £24 = £56

4+3=7
56/7 = 8
4 x 8 is 32
3 x 8 is 24
The answer is £32 and £24.
Hope this helps you!! =')

Data Set 1 has a mean of 120 and a MAD of 4. Data Set 2 has a mean of 132 and a MAD of 3.What can you conclude about the two distributions?

Choose exactly two answers that are correct.

A.The means-to-MAD ratio is 3.

B.The means-to-MAD ratio is 4.

C.The distributions are somewhat similar.

D.The distributions are different.

Answers

The right answer for the question that is being asked and shown above is that: "C.The distributions are somewhat similar." Data Set 1 has a mean of 120 and a MAD of 4. Data Set 2 has a mean of 132 and a MAD of 3.you conclude about the two distributions is that C.The distributions are somewhat similar.

A spinner and 2 cards are shown below:A spinner with 7 equal sectors is shown in the figure. The colors Green, Red, Orange, Violet, Pink, Yellow, and Blue are marked on it. The arrow points at the red color. Two cards are shown on the right side. The colors Purple and Green are marked on them.

Sophie spins the spinner and picks up a card without looking. What is the probability that the spinner stops at red and a green card is selected?

1 over 49
1 over 16
1 over 14
1 over 2

Answers

P(red AND green card) = P(red) * P(green card)

P(red) = 1/7 (i.e. one color out of total of seven)
P(green card) = 1/2 (i.e. one card out of two)

P(red AND green card) = 1/7 * 1/2 = 1/14

Answer:

Hence, probability that the spinner stops at red and a green card is selected is:

1 over 14

Step-by-step explanation:

It is given that a spinner and two cards are selected.

A spinner has 7 colors in it:

Green,Red,Orange, Violet, Pink, Yellow, and Blue are marked on it.

Two cards are shown on the right side. The colors Purple and Green are marked on them.

Now we are asked to find the probability that the spinner stops at red and a green card is selected.

Let A denotes the event that the arrow stops at red.

and B denote the event that a green card is selected.

Now, we have to find:

P(A∩B)

Where P denotes the probability of an event.

As we know that event A and event B are independent.

Hence,

P(A∩B)=P(A)×P(B)

Now,

P(A)=1/7

( Since we have 7 choices out of which only one sector has red color)

Similarly,

P(B)=1/2

( since we have just two cards and one card is green).

Hence,

P(A∩B)=(1/7)×(1/2)=1/14

Hence, probability that the spinner stops at red and a green card is selected is:

1 over 14

What is the sum of 3/8 and 1/16?
A. 7/16
B. 1/4
C. 1/6
D. 4/24

Answers

The sum of fractions 3/8 and 1/16 is 7/16.

Option A is the correct answer.

We have,

The commondenominator of 3/8 and 1/16 is 16.

Converting the fractions to have a denominator of 16:

3/8 = 6/16 (by multiplying the numerator and denominator by 2)

And,

1/16 (already has the denominator of 16)

Now, add the fractions:

6/16 + 1/16

= 7/16

Therefore,

The sum of fractions 3/8 and 1/16 is 7/16.

Learn more about expressions here:

brainly.com/question/3118662

#SPJ6

Hi

3/8 = 6/16

3/8 + 1/16 = 6/16 + 1/16 = (6+1)/16 = 7/16

Answer: A) 7/16

Simplify: a^2b^2c^2(2ab+3ac+2bc)

Answers

We can do this like so:

$a^{ 2b^{ 2c^(2) } }$ = $a^(8bc)$

$a^(8bc)$ * 2ab = $2ba^(16bc)$
$a^(8bc)$ * 3ac = $2ca^(16bc)$
$a^(8bc)$ * 2bc = $2bca^(8bc)$

3(x - 4) + 6 = 5(x - 1) + 1 solve for x and show work

Answers

Answer:

x= -1

Step-by-step explanation:

open brackets and calculate

3x - 12 + 6 = 5x -5 + 1

Calculate

3x - 6 = 5x - 4

transpose

3x - 5x = - 4 + 6

Calculate

- 2x = 2

x= 2/-2

x= -1

Answer:

X = -1

Step-by-step explanation:

3(x - 4) + 6 = 5(x - 1) + 1 -distribute

3x - 12 + 6 = 5x - 5 + 1 -combine like terms

3x - 6 = 5x - 4 -subtract 3x

-6 = 2x - 4 -add 4

-2 = 2x -divide by 2

-1 = x

Hope this helps. Pls give brainliest.

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