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3 years ago

7

Given the triangle below is m A. 68.6 B. 82.8 C. 74.4 D. 80.6

1 answer:

erastova [34]3 years ago

5 0

Answer:

B. 82.8

Step-by-step explanation:

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on a coordinate plane, line segment AB has a length of 12 units. AB is translated 5 units up, resulting in line segment A’B’. Wh

GuDViN [60]

Answer:

12 units

Step-by-step explanation:

<u>Given</u>

Line segment AB = 12 units

Translation of AB → A'B' by the rule T(x +0, y+5)

This translation won't change the length of A'B' as the difference in (x2-x1) and (y2-y1) stays same because x-coordinate stays as is and y-coordinate's change cancelled when subtracting

So A'B' = 12 units

8 0

3 years ago

In remodeling a kitchen, a builder decides to place a splash-guard behind the sink consisting of eight 6-inch-square ceramic til

oksano4ka [1.4K]

Answer:

(a) 0.4242

(b) 0.0707

Step-by-step explanation:

The total number of ways of selecting 8 herbs from 12 is

$\binom{12}{8}=495$

(a) If 2 herbs are selected, then there are 8 - 2 = 6 herbs to be selected from 12 - 8 = 10. The number of ways of the selection is then

$\binom{10}{6}= 210$

Note that this is the number of ways that both are included. We would have multiplied by 2! if any of them were to be included.

The probability = $\dfrac{210}{495}=0.4242$

(b) If 5 herbs are selected, then there are 8 - 5 = 3 herbs to be selected from 12 - 5 = 7. The number of ways of the selection is then

$\binom{7}{3}= 35$

This is the number of ways that both are included. We would have multiplied by 5! if any of them were to be included. In that case, our probability will exceed 1; this implies that certainly, at least, one of them is included.

The probability = $\dfrac{35}{495}=0.0707$

6 0

3 years ago

Solve 91 - 2 + 7k| +1 = 46

mylen [45]

Answer:

k = -6.29

Step-by-step explanation:

91 - 2 + 7k + 1 = 46

add all like terms

90 + 7k =46

subtract

90 + 7k = 46

-90 -90

------------------------

7k = -44

divide

$\frac{7k}{7}$ = $\frac{-44}{7}$ (these arent fractions thats just how i divide things :))

= -6.28571428571

round to nearest hundredth

k= -6.29

goes up to 9 because 5 makes 8 go up one when rounding

sorry for asking so many questions. hope this helps

7 0

3 years ago

What are the solutions to the equation -5x2 + 3x = -9

Aleks04 [339]

Answer: Move terms to the left side−52+3=−9−5x2+3x=−9−52+3−(−9)=0−

Common factor−52+3+9=0−5x2+3x+9=0−(52−3−9)=0

Divide both sides by the same factor−(52−3−9)=0−(5x2−3x−9)=052−3−9=0

Solution=3±321 over 10

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

Write the tangent, cosine and sine ratios of angles X & Y. Write each answer as a (reduced) fraction. Not a decimal.

Alisiya [41]

The tangent, cosine and sine ratios of angles X & Y in the reduced faction form is 3/4, 4/5 and 3/5 respectively.

<h3>What are the trigonometry ratios?</h3>

For a right angle triangle, the trigonometry ratios can be given as,

$\rm \sin \theta=\dfrac{b}{c}\\\rm \cos \theta=\dfrac{a}{c}\\\rm \tan \theta=\dfrac{b}{a}$

Here, <em>a</em> is base side<em>, b</em> is perpendicular side and<em> c</em> is the hypotenuse side of the triangle.

In the given triangle, the length of base side<em> </em>is 8 units, perpendicular side is 6 units and hypotenuse side is 10 units.

$a=8\\b=6\\c=10$

Thus, the tangent, cosine and sine ratios of angles X & Y are,

$\rm \sin \theta=\dfrac{6}{10}=\dfrac{3}{5}\\\rm \cos \theta=\dfrac{8}{10}=\dfrac{4}{5}\\\rm \tan \theta=\dfrac{6}{8}=\dfrac{3}{4}$

Thus, the tangent, cosine and sine ratios of angles X & Y in the reduced faction form is 3/4, 4/5 and 3/5 respectively.

Learn more about the trigonometry angles here;

brainly.com/question/20519838

#SPJ1

6 0

2 years ago