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love history [14]
3 years ago
8

Factorise fully c^3+c^2

Mathematics
1 answer:
Luda [366]3 years ago
5 0
Answer: C^2(1+c) I hope this helps
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What is the product -4 1/2 and 2 1/2 as a mixed number and in simplified form
luda_lava [24]

First, let's make it an improper fraction:

-9/2 * 5/2 = -45/4 = -11 1/4

-11 1/4

6 0
3 years ago
Read 2 more answers
AREA
natka813 [3]

Answer:

Show the figure

Step-by-step explanation:

3 0
3 years ago
In monitoring lead in the air after the explosion at the battery factory, it is found that the amounts of lead over a 7 day peri
Andrew [12]

Answer:

MOE=\pm \ 1.41

Step-by-step explanation:

-Given that \sigma=1.91, n=7

-We determine the z-value corresponding to the 95% confidence level:

z_{\alpha/2}=z_{0.025}=1.96

-The margin of error is the degree of error from the real value and is calculated as follows:

MOE=\pm z_{\alpha/2} (\frac{\sigma}{\sqrt{n}})\\\\=\pm z_{0.025}\times\frac{\sigma}{\sqrt{n}}\\\\=\pm 1.96\times \frac{1.91}{\sqrt{7}}\\\\=\pm 1.41

Hence, the margin of error is \pm 1.41

7 0
3 years ago
1. To the nearest degree, find the measure of angle A.
Assoli18 [71]

Answer:

(1) Option A is correct , The measure of angle A = 26°

(2) Option D is correct, The measure of angle B  =70°

Step-by-step explanation:

(1)

In a right angle triangle figure-1 ,

* Hypotenuse(H) is always opposite the right angle and it is always the longest side of the triangle.

* Adjacent side (B) is the non-hypotenuse side that is next to a given angle A.

* Opposite side(P) is across from a given angle A.

To find the Angle A we use the Cosine ratio:

Cosine ratio states that the ratio of the adjacent side of a right triangle to the hypotenuse.

By definition of cosine ratio we have;

\cos A = \frac{B}{H}                      ....[1]

In the figure - 1 we have B = 18 in and H = 20 in

substitute these in [1] to find angle A

\cos A =\frac{18}{20} =\frac{9}{10} = 0.9

or

A = cos^{-1} (0.9)

⇒ A \approx 26^{\circ}

therefore, the measure of angle A is,  26^{\circ}

(2)P

In figure -2

Find the measure of angle B.

First find the side BC, using Pythagoras theorem;

Pythagoras theorem states that in the right angle triangle the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Apply Pythagoras theorem in rt. angle ABC;

AB^2 = AC^2+BC^2

Substitute the values of AB = 5.1 cm and AC =4.8 cm to solve for BC

(5.1)^2=(4.8)^2 +BC^2

26.01 = 23.04+BC^2

Simplify:

BC^2 = 2.97 or

BC = \sqrt{2.97} =1.723 cm

Now, find the angle B, using tangent ratio;

Tangent ratio states that the ratio of the Opposite side of a right triangle to the adjacent side.

\tan B = \frac{AC}{BC} =\frac{4.8}{1.732} =2.772

B = \tan^{-1} (2.772) \approx 70^{\circ}

Therefore, the measure of angle B is; 70^{\circ}.

4 0
3 years ago
Read 2 more answers
What are the least common multiple for one fourth and two thirds
Assoli18 [71]
Assuming that you want to add or subtract them and want the bottom number the same,

1/4 and 2/3

least common multiple of 4 and 3

4=2 times 2
3=3 times 1
so the leas common mulltiple will include all of them
the number is 2 times 2 times 3 or 12

lcm=12

1/4 times 3/3=3/12
2/3 times 4/4=8/12

add or subtract 3 and 8

LCM=12
3 0
3 years ago
Read 2 more answers
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