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2 years ago

1. The product of two consecutive integers is 20. Find the values of these integers.

1 answer:

4 0

First find the factors of 20
1 & 20
2 & 10
4 & 5
-1 & -20
-2 & -10
-4 & -5

Now find the pairs that have a difference of 1

-4 & -5
4 & 5

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I need h e l p !!!!!!!!!!!!!!!!

Strike441 [17]

Answer:

3/ 23765

Step-by-step explanation:

There are 12 E's out of 100 tiles.

Tiles are not replaced.

<u>The probability of each of first 4 E's is:</u>

The first E ⇒ P(E) = 12/100 = 3/25
The second E ⇒ P(E) = 11/99 = 1/9
The third E ⇒ P(E) = 10/98 = 5/49
The fourth E ⇒ P(E) = 9/97

<u>The probability of 4 E's is:</u>

P(4 E's) = 3/25*1/9*5/49*9/97 = 3 / (5*49*97) = 3 / 23765

3 0

3 years ago

Which quadrilaterals always have opposite angles that are congruent

horsena [70]

Answer:

(1) Parallelogram A parallelogram is a quadrilateral with two

sets of parallel sides. The opposite or facing sides of a

parallelogram are of equal length, and the opposite angles of a

(2) Square

A square is a regular quadrilateral. This means that is has four

equal sides and four equal angles.

(3) Rhombus A rhombus is a quadrilateral whose four sides all have the same

length. Opposite angles of a rhombus have equal measure. The two

diagonals of a rhombus are perpendicular.

(4) Rectangle

A rectangle normally refers to a quadrilateral with four right

angles.

Parallelogram

Step-by-step explanation:

6 0

2 years ago

If 180° < α < 270°, cos⁡ α = −817, 270° < β < 360°, and sin⁡ β = −45, what is cos⁡ (α + β)?

eduard

Answer:

$cos(\alpha+\beta)=-\frac{84}{85}$

Step-by-step explanation:

we know that

$cos(\alpha+\beta)=cos(\alpha)*cos(\beta)-sin(\alpha)*sin(\beta)$

Remember the identity

$cos^{2} (x)+sin^2(x)=1$

step 1

Find the value of $sin(\alpha)$

we have that

The angle alpha lie on the III Quadrant

The values of sine and cosine are negative

$cos(\alpha)=-\frac{8}{17}$

Find the value of sine

$cos^{2} (\alpha)+sin^2(\alpha)=1$

substitute

$(-\frac{8}{17})^{2}+sin^2(\alpha)=1$

$sin^2(\alpha)=1-\frac{64}{289}$

$sin^2(\alpha)=\frac{225}{289}$

$sin(\alpha)=-\frac{15}{17}$

step 2

Find the value of $cos(\beta)$

we have that

The angle beta lie on the IV Quadrant

The value of the cosine is positive and the value of the sine is negative

$sin(\beta)=-\frac{4}{5}$

Find the value of cosine

$cos^{2} (\beta)+sin^2(\beta)=1$

substitute

$(-\frac{4}{5})^{2}+cos^2(\beta)=1$

$cos^2(\beta)=1-\frac{16}{25}$

$cos^2(\beta)=\frac{9}{25}$

$cos(\beta)=\frac{3}{5}$

step 3

Find cos⁡ (α + β)

$cos(\alpha+\beta)=cos(\alpha)*cos(\beta)-sin(\alpha)*sin(\beta)$

we have

$cos(\alpha)=-\frac{8}{17}$

$sin(\alpha)=-\frac{15}{17}$

$sin(\beta)=-\frac{4}{5}$

$cos(\beta)=\frac{3}{5}$

substitute

$cos(\alpha+\beta)=-\frac{8}{17}*\frac{3}{5}-(-\frac{15}{17})*(-\frac{4}{5})$

$cos(\alpha+\beta)=-\frac{24}{85}-\frac{60}{85}$

$cos(\alpha+\beta)=-\frac{84}{85}$

4 0

3 years ago

For f(x) = 4x+ 1 and g(x) = x2 - 5, find (f+ g)(x).

horrorfan [7]

Answer:

x^2+4x-4

Step-by-step explanation:

4x+1+x^2-5

x^2+4x-4

6 0

3 years ago

Read 2 more answers

Eight less than twice a number is equal to 16

Kamila [148]

Answer: The number is 12

Step-by-step explanation:

n=number

2n-8=16

2n=24

n=12

6 0

2 years ago