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Butoxors [25]
3 years ago
10

a model doll house is 3.25 feet long. the real house is 30 yards long. what is the unit rate that describes the relationship of

the real house to the model doll house?
Mathematics
1 answer:
DENIUS [597]3 years ago
3 0

Answer:

27.7

Step-by-step explanation:

1 yard = 3 feet

30 yards x 3 feet = 90 feet

90/3.25 = 27.7

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Calculate circumference. You can do the math mentally with area & perimeter,but circumference is much more complex
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Simplify the expression
Ronch [10]

Answer:

(3 x)/(5 x + 2)

Step-by-step explanation:

Simplify the following:

(3 x^2)/(5 x^2 + 2 x)

Hint: | Factor common terms out of 5 x^2 + 2 x.

Factor x out of 5 x^2 + 2 x:

(3 x^2)/(x (5 x + 2))

Hint: | For all exponents, a^n a^m = a^(n + m). Apply this to (3 x^2)/(x (5 x + 2)).

Combine powers. (3 x^2)/(x (5 x + 2)) = (3 x^(2 - 1))/(5 x + 2):

(3 x^(2 - 1))/(5 x + 2)

Hint: | Evaluate 2 - 1.

2 - 1 = 1:

Answer:  (3 x)/(5 x + 2)

8 0
3 years ago
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Length of the hypotenuse of the triangle to the nearest tenth of a metre
Lemur [1.5K]

Answer:

The length of the hypotenuse is 2.4m

Step-by-step explanation:

well to start we have to know the relationship between angles, legs and the hypotenuse

α = 55°

o: opposite  = 2.0m

h: hypotenuse

sin α = o/h

cos α= a/h

tan α = o/a

we see that it has (angle, hypotenuse, opposite)

we look at which meets those data between the sine, cosine and tangent

is the sine

sin α = o/ah

Now we replace the values ​​and solve

sin 55 = 2.0/h

0.81915 = 2.0/h

h = 2.0 / 0.81915

h = 2.4415 m

round to the nearest tenth

h = 2.4415 = 2.4 m

The length of the hypotenuse is 2.4m

5 0
3 years ago
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According to the Fundamental Theorem of Algebra, how many roots exist for the polynomial function f(x)=(4x3−13x+11)3?
trapecia [35]

Answer:

9.

Step-by-step explanation:

The highest power is 3*3 = 9, so it's 9.

7 0
2 years ago
Trina uses 8.6 pints of blue paint and white paint to paint her bedroom walls.
max2010maxim [7]
<h3>Trina uses 3.44 or \frac{ 17.2}{5} pints of white paint</h3>

<em><u>Solution:</u></em>

Given that,

Trina uses 8.6 pints of blue paint and white paint to paint her bedroom walls

3/5 of the amount is blue paint, and the rest is white paint

From given,

3/5 of 8.6 pints is blue paint

Remaining = 1 - \frac{3}{5}\\\\Remaining = \frac{2}{5}

Thus, 2/5 of 8.6 pints is white paint

<em><u>How many pints of white paint did she use to paint her bedroom walls? </u></em>

White\ paint = \frac{2}{5} \times 8.6\\\\White\ paint = \frac{17.2}{5}\\\\White\ paint = 3.44

Thus she uses 3.44 or 17.2/5 pints of white paint

5 0
2 years ago
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