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Evgesh-ka [11]
3 years ago
8

Beth's class party was held in a steamboat on a local lake. The steamboat made a circuit of the lake at a constant rate of 16 mp

h. It traveled a total of 40 mi. around the lake. How long did the trip on the steamboat last?
(A) 2.5 hr.

(B) 3 hr
.
(C) 4.2 hr.

(D) 5 hr.​
Mathematics
1 answer:
Novay_Z [31]3 years ago
3 0
I think it’s B not sure tho
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What is cos 45 degrees in simplified radical form?​
Ostrovityanka [42]

<u>Answer:</u>

The value of cos 45 degrees in simplified radical form is 0.70710 approximately.

<u>Solution:</u>

Given, Cos of angle 45 degrees.

We have to find the value of the Cos of 45 degrees in radical form.

From trigonometric ratios,  

Cos of angle 45 degrees = cos ⁡45 = \frac{1}{\sqrt{2}}

Multiplying numerator and denominator with square root of 2

\begin{array}{l}{=\frac{1}{\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}}} \\\\ {=\frac{1 \times \sqrt{2}}{\sqrt{2} \times \sqrt{2}}} \\\\ {=\frac{\sqrt{2}}{(\sqrt{2})^{2}}} \\\\ {=\frac{\sqrt{2}}{2}}\end{array}

The value of square root of 2 is 1.414213

=\frac{1.414213}{2}=0.70710

Hence, the value of Cos of angle 45 degrees is 0.70710 approximately

6 0
4 years ago
If nkf ~ lzf, find nf, please help me with this it’s due tmr!!!!
Ratling [72]

Answer:

NF = 25

Step-by-step explanation:

Since ∆NKF ~ ∆LZF, the ratio of their corresponding side lengths would also be the same.

This means that:

KF/ZF = NF/LF

KF = x + 3

ZF = 4

NF = 15 + x + 3 = x + 18

LF = x + 3

Plug in the values into the equation

(x + 3)/4 = (x + 18)/(x + 3)

Cross multiply

(x + 3)(x + 3) = (x + 18)(4)

x² + 3x + 3x + 9 = 4x + 72

x² + 6x + 9 = 4x + 72

x² + 6x + 9 - 4x - 72 = 0

x² + 2x - 63 = 0

Factorize to find x

x² + 9x - 7x - 63 = 0

x(x + 9) -7(x + 9) = 0

(x + 9)(x - 7) = 0

x + 9 = 0 or x - 7 = 0

x = -9 or x = 7

We'd use the positive value of x, which is 7.

Therefore, x = 7.

✅NF = 15 + (x + 3)

Plug in the value of x

NF = 15 + (7 + 3) = 15 + 10

NF = 25

3 0
3 years ago
Each day of the week mrs uses 3/4 of a gallon of gas what is the amount she uses in five days?
Andrej [43]

Answer:

3.75

Step-by-step explanation:

3/4 times 5 =3 3/4

8 0
1 year ago
Find x when y = 3 in the literal equation 3x + 6y= 24.<br> A. 3<br> B. 18<br> C. 6<br> D. 2
alekssr [168]

Answer: It is D

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
PLEASE HELP!!!
tatuchka [14]
Asked and answered elsewhere.
brainly.com/question/10629871

How do you calculate it? You start by expressing the density in the units you have. Then you multiply by appropriate conversion factors to get to the units you want. Treat units as though they were any other variable. A value cancels that appears in both the numerator and denominator of a fraction.

\dfrac{56.15\,kg}{0.222\,hh}\cdot \dfrac{1000\,g}{1\,kg}\cdot \dfrac{1\,pw}{1.55\,g}\cdot \dfrac{1\,hh}{238.5\,L}\cdot \dfrac{9.091\,L}{1\,pk}\\\\=\dfrac{56.15\cdot 1000\cdot 9.091\,pw}{0.222\cdot 1.55\cdot 238.5\,pk}\\\\ \approx6220\,\frac{pw}{pk}
5 0
3 years ago
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