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4 years ago

Find the values of x and y

Mathematics

2 answers:

valentina_108 [34]4 years ago

8 0

Answer:

The answer to your question is x = 90°, y = 43°

Step-by-step explanation:

We can observe that it is an isosceles triangle because two sides have the same length.

In an isosceles triangle, 2 angles measure the same: ∠B = ∠C.

- The sum of the internal angles in a triangle equals 180°.

∠D = 90°

∠A + ∠D + ∠C = 180

∠A + 90° + 47° = 180°

∠A = 180 - 90 - 47

∠A = 43°

y = 43°

Angle x is a right triangle = 90°

LenaWriter [7]4 years ago

7 0

Answer:x= 90 degrees

y = 43 degrees

Step-by-step explanation:

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a student ran out of time on a multiple choice exam and randomly guess the answers for two problems each problem have four answe

katen-ka-za [31]

Answer:

The probability that he answered neither of the problems correctly is 0.0625.

Step-by-step explanation:

We are given that a student ran out of time on a multiple-choice exam and randomly guess the answers for two problems each problem have four answer choices ABCD and only one correct answer.

Let X = Number of problems correctly answered by a student.

The above situation can be represented through binomial distribution;

$P(X=r)=\binom{n}{r}\times p^{r}\times (1-p)^{n-r};x=0,1,2,3,....$

where, n = number of trials (samples) taken = 2 problems

r = number of success = neither of the problems are correct

p = probability of success which in our question is probability that

a student answer correctly, i.e; p = $\frac{1}{4}$ = 0.75.

So, X ~ Binom(n = 2, p = 0.75)

Now, the probability that he answered neither of the problems correctly is given by = P(X = 0)

P(X = 0) = $\binom{2}{0}\times 0.75^{0}\times (1-0.75)^{2-0}$

= $1 \times 1\times 0.25^{2}$

= 0.0625

6 0

4 years ago

The difference of twenty-one and eight times a number n is thiry-five

nalin [4]

Answer:

n=7

Step-by-step explanation:

difference means subtraction so:

8n - 21= 35

8n=35+21

8n= 56

n= 56÷8

n=7

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3 years ago

Which phrase describes the variable expression y-12

gayaneshka [121]

The number y, decreased by 12

5 0

3 years ago

Read 2 more answers

Select the correct answer. Consider functions f and g.

vlabodo [156]

C) 1 b =-2. D) 7 f(-2) = 3(-8) - 2. -5 x=6
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2 years ago

While taking a ride in a hot-air balloon in Napa Valley, Francisco wonders how high he is. To find out, he chooses a landmark th

Delicious77 [7]

Answer:the height of the balloon is 670.244 feet

Step-by-step explanation:

The right angle triangle BLD represents the scenario.

h represents the height of the balloon.

We would apply trigonometric ratio to determine h.

Tan # = opposite side/adjacent side

Looking at triangle LCD,

# = 61 degrees

h = opposite side

x = adjacent side

Tan 61 = h/x

1.7321 = h/x

h = 1.7321x

Looking at triangle LBD,

# = 54 degrees

h = opposite side

x + 100 = adjacent side

Tan 54 = h/x + 100

1.3764 = h/x + 100

h = 1.3764(x + 100)

Therefore,

1.7321x = 1.3764(x + 100)

1.7321x = 1.3764x + 137.64

137.64 = 1.7321x - 1.3764x

137.64 = 0.3557x

x = 137.64/0.3557 = 386.955

h = 1.7321x = 386.955 × 1.7321

h = 670.244 feet

8 0

4 years ago