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2 years ago

Algebra Help! I appreciate any assistance.

Mathematics

2 answers:

katrin [286]2 years ago

7 0

Hello!

Given the integer in form of fraction, we should know the denominator. We know the denominator n is 3^x * 5^y.

We should know the greatest divisor of 90.

You have to prime factorize 90.

90|2
45|3
15|3
5|5
1

So 90 = 2 × 3^2 × 5^1

We take the greatest numbers with highest exponents.

That means 3^2 × 5 = 45 <- answer

Kruka [31]2 years ago

4 0

90 = 2 · 3 · 3 · 5 = 2 · 3² · 5¹

If n has the form $3^x5^y$ and $\frac{90}{n}$ is an integer, then greatest possible value of n = 3² · 5¹ = 45

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Joshua finds the perimeter of the following composite figure composed of a square and right triangle so that a braid may be cut

Bumek [7]

The perimeter of a shape is the sum of its side lengths.

Joshua miscalculated the third length of the triangle

First, we calculate the third length (x) of the triangle.

Because the triangle is right-angled, we can make use of Pythagoras.

So we have:

$x^2 = 7^2 + 7^2$

$x^2 = 2(7^2)$

Take square roots of both sides

$x = \sqrt{2(7^2)$

$x = 7\sqrt{2$

The other shape in the figure is a square.

So, the perimeter (P) is

$P = 7 + x + x + x + 7$ ---- i.e. the sum of the visible lengths

So, we have:

$P = 7 + 7\sqrt2 + 7\sqrt2 + 7\sqrt2+ 7$

Evaluate like terms:

$P = 14 + 21\sqrt2$

Hence, Joshua's error is that:

He miscalculated the third length of the triangle

Read more about perimeters at:

brainly.com/question/6465134

4 0

1 year ago

10t+50=100

monitta

10t+50=100
-50 -50
10t=50
10t/10=50/10
t=5

3 0

2 years ago

Consider the line that passes through each pair of given points, and decide what type of slope the line has.

pogonyaev

Answer:

The slope of line through (2, 4) and (5, 1) is Negative

The slope of line through (3,5) and (-1,2) is Positive

The slope of line through (-7, 8) and (-7,0) is Undefined

The slope of line through (6.-3) and (4, -3) is Zero

Step-by-step explanation:

Slope is defined as the steepness of a line.

Slope is denoted by m and the formula for calculating slope is:

$m = \frac{y_2-y_1}{x_2-x_1}$

Here

(x1,y1) and (x2,y2) are coordinates of the points through which the line passes

Now,

For (2, 4) and (5, 1):

$m = \frac{1-4}{5-2} = \frac{-3}{3} =-1$

NEGATIVE

For (3,5) and (-1,2)

$m = \frac{2-5}{-1-3} = \frac{-3}{-4} = \frac{3}{4}$

POSITIVE

For (-7, 8) and (-7,0)

$m = \frac{0-8}{-7+7} = \frac{-8}{0}$

UNDEFINED

For (6.-3) and (4, -3)

$m=\frac{-3+3}{4-6} = \frac{0}{-2} = 0$

ZERO

Hence,

The slope of line through (2, 4) and (5, 1) is Negative

The slope of line through (3,5) and (-1,2) is Positive

The slope of line through (-7, 8) and (-7,0) is Undefined

The slope of line through (6.-3) and (4, -3) is Zero

8 0

2 years ago

I need helpppp pleaseee :(

Sladkaya [172]

Answer:

u can use desmos it will help a lot

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

Using the law of cosines, what is m<X 61, 79, 82, 91

joja [24]

Answer: 79°

Explanation:

1) Law of cosines:

In a triangle with sides a, b, c whose opposite angles are, respectively, A, B and C, the law of cosines states:

c² = a² + b² - 2 a×b×cos (C)

2) In the triangle of the figure you have

c = 9
C = X
a = 6
b = 8
⇒ 9² = 6² + 8² - 2(6)(8) cos(X)
⇒ 81 = 36 + 64 - 96cos(X)
⇒ 96cos(X) = 36 + 64 - 81 = 19
⇒ cos(X) = 19 / 96
⇒ X = arccos(19/26) = 78.6° ≈ 79°

5 0

2 years ago