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3 years ago

The area of a square garden is 98 m2. How long is the diagonal?

Mathematics

2 answers:

stiks02 [169]3 years ago

8 0

Answer:

The diagonal is about 14 m

Step-by-step explanation:

A = s^2

98 = s^2

s = √98

diagonal c^2 = 98 + 98

c^2 = 196

c = √196

c ≈ 14

Answer:

The diagonal is about 14 m

Agata [3.3K]3 years ago

3 0

Answer:

C= 14

Step-by-step explanation:

The side is the square root of the area

S × S = A

S = √98

The diagonal is the hypotenuse of a right triangle formed by the two sides so

a² + b² = c²

Where C = the diagonal A = √98 , B = √98

so C²= (√98)² + (√98)²

This gives: C²= 98 + 98 or

C² = 196

√C² = √196

C= 14

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Marissa is drawing coins from a bag that contains 5 pennies (yellow), 4 nickels (green), 5 dimes

Anna007 [38]

Answer:

$\frac{4}{16}=\frac{1}{4}=0.25=25\%$

Step-by-step explanation:

Total number of coins in the bag = 5 + 4 + 5 + 2 = 16 coins

Number of nickels in the bag = 4

We have to find the probability that Marissa draws a nickels from the bag.

Probability is defined as the ratio of Number of "Favorable Outcomes" to "Total number of possible outcomes"

In this case total number of possible outcomes is the total number of coins which is 16.

Favorable/Desires outcome is drawing a Nickle from the bag which are 4 in number. So, number of favorable outcomes is 4

Therefore, the probability that she will draw a nickel = $\frac{4}{16}=\frac{1}{4}=0.25=25\%$

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2 years ago

Find the slope and y-intercept for the two linear functions. Linear Functions Identify the slope of the line given in the table:

Natalija [7]

ANSWER

See explanation

EXPLANATION

The table contains these two points (-4,-3) and (2,-4.5)

The slope of this line is given by;

$m = \frac{rise}{run}$

$m = \frac{ - 4.5 - - 3}{2 - - 4} = \frac{ - 1.5}{6}$

$m = - \frac{1}{4}$

The y-intercept can be obtained by finding the equation of the line in the form:

$y = mx + c$

We plug in the slope and the point (-4,-3) to find c.

This implies that,

$- 3 = - \frac{1}{4} \times - 4 + c$

$- 3 = 1 + c$

$c = - 3 - 1 = - 4$

Hence the y-intercept is -4.

The given line is

$y = \frac{3}{2} x + 1$

This is already in the slope intercept form:

The slope is

$m = \frac{3}{2}$

The y-intercept is c=1

5 0

2 years ago

Read 2 more answers

Dan's school is selling tickets to a play. On the first day of ticket sales the school sold 1 adult ticket and 6 student tickets

VashaNatasha [74]

Answer:

Let's define the variables:

A = price of one adult ticket.

S = price of one student ticket.

We know that:

"On the first day of ticket sales the school sold 1 adult ticket and 6 student tickets for a total of $69."

1*A + 6*S = $69

"The school took in $150 on the second day by selling 7 adult tickets and student tickets"

7*A + 7*S = $150

Then we have a system of equations:

A + 6*S = $69

7*A + 7*S = $150.

To solve this, we should start by isolating one variable in one of the equations, let's isolate A in the first equation:

A = $69 - 6*S

Now let's replace this in the other equation:

7*($69 - 6*S) + 7*S = $150

Now we can solve this for S.

$483 - 42*S + 7*S = $150

$483 - 35*S = $150

$483 - $150 = 35*S

$333 = 35*S

$333/35 = S

$9.51 = S

That we could round to $9.50

That is the price of one student ticket.

4 0

2 years ago

The mean exam score for the first group of twenty examinees applying for a security job is 35.3 with a standard deviation of 3.6

babymother [125]

The scores of two groups can be compared using coefficient of variation;

Coefficient of variation (C.V.) = (Standard Deviation/ Mean) × 100%;

For Data set 1;

Standard deviation = 3.6

Mean = 35.3

C.V. = (3.6/35.3) × 100%;

= 10.19%

For Data set 2;

Standard deviation = 0.5

Mean = 34.1

C.V. = (0.5/34.1) × 100%;

= 1.46%

To learn more about coefficient of variation, visit: brainly.com/question/24131744

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6 0

1 year ago

Determine whether the statement is sometimes, always, or never true. If ax+b-4=b and doesn’t equal 0 then x=4/a?

attashe74 [19]

Start with expression $ax+b-4=b.$

1. Separate terms - with x leave in left side, without x write in right side:

$ax=b-b+4,\\ \\ax=4.$

2. Divide the last expression by a ( $a\neq 0$ ):

$x=\dfrac{4}{a}.$

Answer: this statement is true when $a\neq 0$ .

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2 years ago