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3 years ago

Algebra

Mathematics

1 answer:

kari74 [83]3 years ago

3 0

Answer:

Step-by-step explanation:

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An 11-inch string is cut into 3 equal pieces. Which expression shows the length of each piece?

slega [8]

Sense this string would only be 11 (in), and we are cutting it into 3 pieces, this would show us that we would then be dividing the 11 (in) string into 3 pieces. The expression would be below.

$\boxed{11\div3}$

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2 years ago

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Adam has 17.45 kg of flour, and he uses 6.4 kg to make hot cross buns. The remaining flour is exactly enough to make 15 batches

olchik [2.2K]

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0.736 kg in each batch of scones

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3 years ago

A rectangle has width that is 6 meters less than the length. The area of the rectangle is 280 square meters. Find the dimensions

salantis [7]

Dimensions are length 20 meter and width 14 meter

Solution:

Let "a" be the length of rectangle

Let "b" be the width of rectangle

Given that,

A rectangle has width that is 6 meters less than the length

Width = length - 6

b = a - 6

The area of the rectangle is 280 square meters

The area of the rectangle is given by formula:

$Area = length \times width$

Substituting the values we get,

$Area = a \times (a-6)\\\\280 = a^2-6a\\\\a^2-6a -280=0$

Solve the above equation by quadratic formula

$\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}\\\\\quad x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

$\mathrm{For\:}\quad a=1,\:b=-6,\:c=-280:\quad a_{1,\:2}=\frac{-\left(-6\right)\pm \sqrt{\left(-6\right)^2-4\cdot \:1\left(-280\right)}}{2\cdot \:1}$

$a =\frac{6 \pm \sqrt{36+1120}}{2}\\\\a = \frac{6 \pm \sqrt{1156}}{2}\\\\a = \frac{6 \pm 34}{2}\\\\Thus\ we\ have\ two\ solutions\\\\a = \frac{6+34}{2} \text{ or } a = \frac{6-34}{2}\\\\a = 20 \text{ or } a = -14$

Since, length cannot be negative, ignore a = -14

Thus solution of length is a = 20

Therefore,

width = length - 6

width = 20 - 6 = 14

Thus dimensions are length 20 meter and width 14 meter

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3 years ago

Answers; A) 135 degree’s B) 30 Degree’s C) 180 or 0 Degree’s D) 90 Degree’s

Vladimir [108]

Answer:

C). 0 degrees

Step-by-step explanation:

The given equation is:

-4 + 6 sinx = -4 + 4 sinx

adding 4 on both sides:

4 - 4 + 6 sinx = 4 - 4 + 4 sinx

6sinx = 4sinx

dividing by 2 on both sides, we get:

6sinx/2 = 4sinx/2

3 sinx = 2 sinx

subtracting 2 sinx from both sides we get:

sin x = 0

x = sin⁻¹ (0)

x = 0 degrees

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3 years ago

If mAGF = mBGC = mDGC = mEGF = 67°, what is mAGB?

lesantik [10]

Ggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggg

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3 years ago