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3 years ago

Two angle measures in a triangle are 47° and 43°. What type of triangle is it? 1. acute 2. obtuse 3. right 4. isosceles

Mathematics

2 answers:

rodikova [14]3 years ago

7 0

it's a Right triangle... I think that's how you say it...

pickupchik [31]3 years ago

7 0

Answer:

Step-by-step explanation:

The answer to the question is 3. Right

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The faces on a number cube are labled 1,2,2,3,4, and 5the number cube is rolled 114 times how many times would you expect the nu

Mrac [35]

Given:

The faces on a number cube are labeled 1,2,2,3,4, and 5.

The number cube is rolled 114 times.

To find:

How many times would you expect the number 2 to appear?

Solution:

We have,

Total outcomes = 1,2,2,3,4, and 5.

Number of total outcomes = 6

Favorable outcomes = 2 and 2

Number of favorable outcomes = 2

The probability of getting 2 is:

$P(2)=\dfrac{\text{Number of favorable outcomes}}{\text{Number of total outcomes}}$

$P(2)=\dfrac{2}{6}$

$P(2)=\dfrac{1}{3}$

Now, the expected number of times when 2 to appear is:

$E(x)=114\times P(2)$

$E(x)=114\times \dfrac{1}{3}$

$E(x)=38$

Therefore, the expected number of times is 38.

4 0

2 years ago

Need help with solving both of these questions for geometry homework.

faltersainse [42]

Answer:

m<R = m<T = 80.5 deg

Step-by-step explanation:

Since WXYZ is a square, <WXZ is formed with a diagonal of the square and has measure 45 deg.

m<WXZ = 8x - 19 = 45

8x - 19 = 45

8x = 64

x = 8

Draw the kite. Make sure that segments QR and RS are not congruent. Fill in the given angle measures. Angles R and T are congruent opposite angles.

The sum of the measures of the interior angles of a convex, n-sided polygon is

180(n 2).

A kite is a quadrilateral, so n = 4.

180(4 - 2) = 180(2) = 360

The sum of the measures of the interior angles of a kite is 360 deg.

m<Q + m<R + m<S + m<T = 360

75 + m<R + 124 + m<T = 360

m<R + m<T + 199 = 360

m<R + m<T = 161

m<R = m<T, so we substitute m<T with m<R.

m<R + m<R = 161

2m<R = 161

m<R = 80.5

m<R = m<T = 80.5 deg

8 0

3 years ago

Simplify 5+2i/6+i

nlexa [21]

Given problem is $\frac{(5+2i)}{(6+i)}$

To simplify that we need to multiply and divide by conjugate of the denominator

conjugate of denominator 6+i will be 6-i as we just need to change sign of the imaginary part

Now multiply and divide by 6-i

$=\frac{(5+2i)}{(6+i)}\cdot\frac{(6-i)}{(6-i)}$

$=\frac{30-5i+12i-2i^2}{36-6i+6i-i^2}$

$=\frac{30+7i-2i^2}{36-i^2}$

$=\frac{30+7i-2\left(-1\right)}{36-\left(-1\right)}$

$=\frac{30+7i+2}{36+1}$

$=\frac{32+7i}{37}$

$=\frac{32}{37}+\frac{7}{37}i$

Hence final answer is $\frac{32}{37}+\frac{7}{37}i$

3 0

2 years ago

A factory makes car batteries. The probability that a battery is defective is 1/13. If 200 batteries are tested about how many a

sergeinik [125]

15 bcs 200 divided by 13

8 0

2 years ago

Read 2 more answers

Sasha has a rectangular garden 8 m by 10 m. The garden has a path surrounding it which is 2 m wide. What is the total area of th

hoa [83]

Answer:

Step-by-step explanation:

Area of a rectangle = length x width

length = 8 + 2 = 10

width = 10 + 2 = 12

10 x 12 = 120

3 0

3 years ago