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3 years ago

A rectangle has dimensions of 12 cm long and 10 cm wide what is the area of the rectangle

1 answer:

3 0

The area and the width are known as 60 and 12 respectively. Rearranging that equation above, and plugging the values, one gets the value of the length of the rectangle as 5.

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Please help, and show me how you got the answer because i have to show for the answer thank you ❤️

snow_lady [41]

I tried my best for this I’m pretty for sure I remember doing this in school but I’m not for sure I hope this helped a little bit

6 0

3 years ago

The lengths of pregnancies in a small rural village are normally distributed with a mean of 265 days and a standard deviation of

MakcuM [25]

Answer:

the middle 50% of most lengths of pregnancies ranges between 255.62 days and 274.38 days

Step-by-step explanation:

Given that :

Mean = 265

standard deviation = 14

The formula for calculating the z score is $z = \dfrac{x -\mu}{\sigma}$

x = μ + σz

At middle of 50% i.e 0.50

The critical value for $z_{\alpha/2} = z_{0.50/2}$

From standard normal table

$z_{0.25}=$ + 0.67 or -0.67

So; when z = -0.67

x = μ + σz

x = 265 + 14(-0.67)

x = 265 -9.38

x = 255.62

when z = +0.67

x = μ + σz

x = 265 + 14 (0.67)

x = 265 + 9.38

x = 274.38

the middle 50% of most lengths of pregnancies ranges between 255.62 days and 274.38 days

3 0

3 years ago

find the gradient of the line joining (3,7) and (6,9). Hence, find the acute angle it makes with the positive x-y axis

stiv31 [10]

Answer:

33.7 degrees

Step-by-step explanation:

As we go from (3,7) to (6,9), x increases by 3 and y increases by 2. Thus, the gradient (slope) of the line connecting these two points is

m = rise / run = 2/3. Using the slope-intercept formula y = mx + b, we obtain

7 = (2/3)(3) + b, or 7 = 2 + b, so we see that b = 5 and y = (2/3)x + 5. The y-intercept is (0, 5).

Next we find the x-intercept. We set y = (2/3)x + 5 = to 0 and solve for x:

(2/3)x = -5, or (3/2)(2/3)x = -5(3/2), or x = -15/2, so that the x-intercept is

(-15/2, 0). This line intersects the x-axis at (-15/2, 0).

Now look at the segment of this line connecting (-15/2, 0) and (0, 5). Here x increases by 15/2 and y increases by 5, and so the tangent of the acute angle in question is

tan Ф = 5 / (15/2) = 10 / 15 = 2/3.

Using the inverse tangent function, we get Ф = arctan 2/3, or approx.

33.7 degrees.

I believe you meant "the acute angle it makes with the positive x-axis."

3 0

3 years ago

What does a cow use to cut the grass?

harina [27]

Is that the full thing?

8 0

2 years ago

What is the value of the expression? a) 6 b) 16 c) 8 d) 10

Vladimir79 [104]

The answer for the expression is C.

8 0

3 years ago