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1 year ago

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Triangle ABC is congruent to triangle XYZ. In ΔABC, AB = 12 cm and AC = 14 cm. In △XYZ, YZ = 10 cm and XZ = 14 cm. What is the p

erimeter of ΔABC? 36 cm 38 cm 40 cm 50 cm

1 answer:

daser333 [38]1 year ago

5 0

Answer: 36cm

Step-by-step explanation:

edge2020

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Solve 3x + 2 = 15 for x using the change of base formula log base b of y equals log y over log b. −1.594 0.465 2.406 4.465

disa [49]

<u>Answer:</u>

The value in 3x + 2 = 15 for x using the change of base formula is 0.465 approximately and second option is correct one.

<u>Solution:</u>

Given, expression is $3^{(x+2)}=15$

We have to solve the above expression using change of base formula which is given as

$\log _{b} a=\frac{\log a}{\log b}$

Now, let us first apply logarithm for the given expression.

Then given expression turns into as, $x+2=\log _{3} 15$

By using change of base formula,

$x+2=\frac{\log _{10} 15}{\log _{10} 3}$

x + 2 = 2.4649

x = 2.4649 – 2 = 0.4649

Hence, the value of x is 0.465 approximately and second option is correct one.

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2 years ago

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2. Amy had 0.87 liters of grape juice. Flora had 0.92 liters more. How much

iogann1982 [59]

Answer:

1.79 of cold drink

Step-by-step explanation:

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2 years ago

A ________ is a numerical quantity computed from the data of a sample and is used in reaching a decision on whether or not to re

scZoUnD [109]

The answer for the completion exercise shown above is the second option (option b), which is:

b. critical value.

Therefore, you have that the text is: "<span>A critical value is a numerical quantity computed from the data of a sample..."
</span>
This numeral quantity is used in statitics. Then, if the absolute value is greater that the quantity defined before, the null hypothesis must be rejected.

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1 year ago

What value of x is in the solution set of 2x – 3 > 11 – 5x? –3 0 2 4

sergejj [24]

2x - 3 > 11 - 5x |add 3 to both sides

2x > 14 - 5x |add 5x to both sides

7x > 14 |divide both sides by 7

x > 2

x = 4

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1 year ago

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Two distinct number cubes, one red and one blue, are rolled together. Each number cube has sides numbered 1 through 6. What is t

Pani-rosa [81]

Answer:

$\frac{2}{3}$

Step-by-step explanation:

Given: Two distinct number cubes, one red and one blue, are rolled together

To find: probability that the outcome of the roll is an even sum or a sum that is a multiple of 3

Solution:

If two dices are rolled together, possible outcomes are as follows:

(1,1) (1,2)(1,3)(1,4)(1,5)(1,6)

(2,1)(2,2)(2,3)(2,4)(2,5)(2,6)

(3,1)(3,2)(3,3)(3,4)(3,5)(3,6)

(4,1)(4,2)(4,3)(4,4)(4,5)(4,6)

(5,1)(5,2)(5,3)(5,4)(5,5)(5,6)

(6,1)(6,2)(6,3)(6,4)(6,5)(6,6)

So, total number of outcomes = 36

In order to find probability that the outcome of the roll is an even sum or a sum that is a multiple of 3, favourable outcomes are

(1,1) (1,2)(1,3)(1,5)

(2,1)(2,2)(2,4)(2,6)

(3,1)(3,3)(3,5)(3,6)

(4,2)(4,4)(4,5)(4,6)

(5,1)(5,3)(5,4)(5,5)

(6,2)(6,3)(6,4)(6,6)

Number of favourable outcomes = 24

Probability that the outcome of the roll is an even sum or a sum that is a multiple of 3 = Number of favourable outcomes/Total Number of outcomes = $\frac{24}{36} =\frac{2}{3}$

5 0

2 years ago