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3 years ago

Round all answer to the nearest tenth.

Mathematics

1 answer:

myrzilka [38]3 years ago

4 0

Answer:

Using the formula to calculate the area of a square, the side of the patio can be 11.4 ft.

Step-by-step explanation:

Square patio

Area: A=130 square feet= 130 ft^2

Side of the square: s=?

The formula to calculate the area of a square is:

A = s^2

Replacing A by 130 ft^2

130 ft^2 = s^2

Solving for s: Square root both sides of the equation above:

sqrt(130 ft^2) = sqrt(s^2)

11.40175425 ft = s

s = 11.40175425

Rounding to the nearest tenth:

s = 11.4 ft

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At an ice cream parlor, ice cream cones cost $1.10 and sundaes cost $2.35. One day, the receipts for a total of 172 cones and su

antoniya [11.8K]

Let assume
X for ice cream cones
Y for sundaes
X+Y=172
X=172-Y……..*
1.10X+2.35Y=294.20
Substitute * in the above equation
1.10(172-Y)+2.35Y=294.20
189.2-1.10Y+2.35Y=294.20
1.25Y=294.20-189.2
1.25Y=105 divide both sides by 1.25
Y=84
The substitute Y value in * equation
X=172-84
X=88
Therefore
88 ice cream cones and 84 sundaes were sold!!

4 0

3 years ago

a small table is 2 feet by 3 feet a large table is twice as long and rwice as wide as the small table. Whats the area of the lar

Scorpion4ik [409]

Answer:

The area of larger table is 24 square feet.

Step-by-step explanation:

Given are the length and width of small table

$l_s = 2\ ft\\w_s = 3\ ft$

The area of a rectangular table is calculated by multiplying the length and width. It is also given that the length and width of the larger table is double the length and width of small table

So the length and width of larger table will be:

$l_l = 2*2 = 4\ feet\\w_l = 3*2 = 6\ feet$

The area of larger table will be:

$A_l = l_l*w_l\\= 4 * 6\\=24\ ft^2$

Hence,

The area of larger table is 24 square feet.

7 0

3 years ago

How do you solve for m by factoring?

Ira Lisetskai [31]

8m^ + 20m = 12

8 m^2 + 20m - 12 = 0

Divide through by 4:-

2m^2 + 5m - 3 = 0

(2m - 1 )( m + 3 ) = 0

m = 1/2 , -3 answer

3 0

4 years ago

I need help with #8. I need to use the quadratic formula. I have a calculator that is programmed for the quadratic formula so al

GuDViN [60]

Answer:

x = 14

Step-by-step explanation:

Extend line AB so that it intersects ray CE at point G. Then angles BGC and BAD are "alternate interior angles", hence congruent.

The angle at B is exterior to triangle BCG, and is equal to the sum of the interior angles at C and G:

138 = (376 -23x) +(x^2 -8x)

Subtracting 138 and collecting terms we have ...

x^2 -31x +238 = 0

For your calculator, a=1, b=-31, c=238.

<em>Additional comment</em>

You will find that the solutions to this are x = {14, 17}. You will also find that angle BCE will have corresponding values of 54° and -15°. That is, the solution x=17 is "extraneous." It is a solution to the equation, but not to the problem.

For x=14, the marked angles are A = 84°, C = 54°.

8 0

4 years ago

Even though the population standard deviation is unknown, an investigator uses z rather than the more appropriate t to test a hy

Marta_Voda [28]

Answer:

a) The level of significance is large because here z is not appropriate.

b) The true critical value is larger than z because the level of significance is large.

Step-by-step explanation:

a) Based on the question under consideration, the true level of significance is larger than .05 level of significance is large, the reason being that z is not appropriate in this case.

b) The true critical value is larger than that of the critical z, this is because the level of significance is large.

t* in P(T > t*) = 0.975 is more than z* = 1.96 in P(z> z*) =0.975

3 0

3 years ago