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larisa86 [58]
3 years ago
6

One leg of a right triangle measures 10 inches while the other leg measures sqrt(21) Inches . What is the length of hypotenuse ?

Mathematics
2 answers:
Sveta_85 [38]3 years ago
4 0

Answer:

\sqrt{541} \\=x

Step-by-step explanation:

10^2+21^2=x^2]

100+441=x^2

541=x^2

\sqrt{541} \\=x

Snezhnost [94]3 years ago
4 0

Answer:

c= 23.26 inches

Step-by-step explanation:

a^2+b^2= C^2

c=a^2+b^2=10^2+21^2=23.25941

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Classify each as an expression or an equation.
fenix001 [56]

Answer:

1. equation

2. equation

3. expression

4. expression

explanation is that an equation has an equal sign and an expression doesnt .  

5. equation

Step-by-step explanation:

6 0
3 years ago
Comparing to Internet service plans plan one cost $34.99 per month plan to cost $134.97 every three months if Crystal plans to s
Ket [755]
Plan 1 because she spends 435.88 more if she goes with plan 2
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3 years ago
Clevon forms a triangle with three straws measuring 20, 25, and 18 inches. To the nearest whole
Ne4ueva [31]

Answer:

Step-by-step explanation:

Let's label this triangle as triangle ABC.  Side AB is 18, side BC is 20 and side CA is 25 and the angle we are looking for is angle C.  Use the Law of Cosines to find the missing angle.  You have to use the Law of Cosines because in order to use the Law of Sines you have to have an angle given and we don't so we have no other options.  In our case,

c^2=a^2+b^2-2abcosC which for us looks like this:

18^2=20^2+25^2-2(20)(25)cosC and

324=400+625-1000cosC and

324=1025-1000cosC and

-701=-1000cosC and

.701=cosC

Use the 2nd button and the cos button to find the missing angle.

Angle C = 45.4 which is, rounded to the nearest degree, 45°

8 0
3 years ago
Congress regulates corporate fuel economy and sets an annual gas mileage for cars. A company with a large fleet of cars hopes to
3241004551 [841]

Answer:

There is sufficient evidence that fuel economy goal has been attained.

Step-by-step explanation:

The hypothesis :

H0 : μ < 30.2

H1 : μ ≥ 30.2

The test statistic :

(xbar - μ) ÷ (s/√(n))

xbar = 32.12 ; s = 4.83 ; n = 50

Test statistic :

(32.12 - 30.2) ÷ (4.83/√(50))

1.92 ÷ 0.6830651

T = 2.811

Using the Pvalue from test statistic calculator :

Since we used the sample standard deviation, we use the T distribution

df = n - 1 = 50 - 1 = 49

Pvalue(2.811, 49) ; one tailed = 0.00354

At α = 0.05

Pvalue < α ; then we reject the null and conclude that there is sufficient evidence that fuel economy goal has been attained

4 0
3 years ago
Which of the following rules could represent the function shown in the table?
MariettaO [177]

Answer:

f(x) = 2x+1​

Step-by-step explanation:

Equation in slope intercept form y = mx + b where m = slope b = y-intercept

To find slope ,

m = (y2-y1)/(x2 - x1)

m = (3 - 1) / (1 - 0)

m = 32/1

m = 2

y-intercept b = 1

In this case y = 2x + 1 or f(x) = 2x+1​

6 0
3 years ago
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