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2 years ago

8

6 2/3 × 3 6/7? please answer thank you C:

2 answers:

Bezzdna [24]2 years ago

7 0

6 x 3 = 18
2/3 x 6/7 = 12/21
Total: 18 12/21

Ket [755]2 years ago

5 0

Answer:

20/3 x 27/7, find a common denominator, 21 in this case 140/21 and 81/21, add them together, and divide. good luck!

Step-by-step explanation:

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The combined area of two squares is 17 square meters. the size of the larger Square are four times as long as the size of the sm

7nadin3 [17]

we are given that ,

The combined area of two squares is 17 square meters.

Area of square= $(side)^2$

Let the side length of smaller square be x

The size of the larger Square are four times as long as the size of the smaller square

$Area \ of \ smaller \ square \ =x^2$

So Area of larger square= $4x^2$

The combined Area is 17 square meter.

$x^2+4x^2=17\\\\5x^2=17\\\\x=\sqrt{\frac{17}{5}}$

Hence the smaller square has the side length= $\sqrt{\frac{17}{5}}$

So the larger square has side length= $2\sqrt{\frac{17}{5}}$

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4 years ago

Given sin(−θ)=−1/6 and tanθ=−√35/35 What is the value of cosθ?

murzikaleks [220]

Answer:

$cos(\theta)=-\frac{\sqrt{35} }{6}$

Step-by-step explanation:

Recall the negative angle identity for the sine function:

$sin(- \theta)=-sin(\theta)$

Then, we can find the value of $sin(\theta)$ :

$sin(\theta)=-sin(-\theta)\\sin(\theta) =-(-\frac{1}{6} )\\sin(\theta)= \frac{1}{6}$

Now recall the definition of the tangent function:

$tan(\theta)=\frac{sin(\theta)}{cos(\theta)}$

Therefore, now that we know the value of $sin(\theta)$ , we can solve in this equation for $cos(\theta)$

$tan(\theta)=\frac{sin(\theta)}{cos(\theta)}\\-\frac{\sqrt{35} }{35} =\frac{1/6}{cos(\theta)} \\cos(\theta)=-\frac{\frac{1}{6} }{\frac{\sqrt{35} }{35} } \\cos(\theta)=-\frac{35}{6\,\sqrt{35} } \\cos(\theta)=-\frac{\sqrt{35} }{6}$

5 0

3 years ago

PLS HELP THIS IS HARD ANYONE PLS

drek231 [11]

I think it’s B (0, 0) (5, -3), (4, 1).

8 0

3 years ago

Graph a system of equations to approximate the value of x, the rate of depreciation. Give your answer as a percent. about 4% abo

muminat

Answer:about 13%

Step-by-step explanation:

9 0

3 years ago

Read 2 more answers

A small metal bar, whose initial temperature was 10° C, is dropped into a large container of boiling water. How long will it tak

IgorC [24]

Answer

According to newton law of cooling

$\dfrac{d T}{dt} = k (T - T_a)$

and

$T = Ce^{kt} + T_a$

now At Ta = 100

T₀ = 10 °C

T₁ = 12° C

$T(0) = Ce^{0} + T_a$

10 = C + 100

C = -90

now,

$12 = -90e^k + 100$

$e^k = \dfrac{88}{90}$

$k = ln{\dfrac{88}{90}}$

at time equal to t

T(t) = 70

$T(t) = -90 (\dfrac{88}{90})^t + 100$

$70 = -90(\dfrac{88}{90})^t + 100$

$(\dfrac{88}{90})^t = \dfrac{1}{3}$

$t\times ln(\dfrac{88}{90}) = ln(\dfrac{1}{3})$

t = 48.88 s

hence, after 48.88 s the temperature of the body will be 70°C

b) time taken to reach 98°C

$T(t) = -90 (\dfrac{88}{90})^t + 100$

$98 = -90(\dfrac{88}{90})^t + 100$

$(\dfrac{88}{90})^t = \dfrac{1}{45}$

$t\times ln(\dfrac{88}{90}) = ln(\dfrac{1}{45})$

t = 390 s

hence, after 390 s the temperature of the body will be 98°C

5 0

3 years ago