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4 years ago

What is the measure of angle x?

Mathematics

2 answers:

stiks02 [169]4 years ago

6 0

55
Explanation: the triangle is equal to 180, 35 plus 90 is 125 and 180-125= 55.

Lilit [14]4 years ago

6 0

Answer:

B) 55°

Step-by-step explanation:

The ∑ of all interior angles of a triangle is 180°.

When you see a square in a angle (as seen in the bottom left of the triangle), it means that it is a right angle, or 90° in measurement.

Set the equation:

180 = x + 90 + 35

First, combine like terms:

180 = x + (90 + 35)

180 = x + 125

Next, subtract 125 from both sides of the equation to isolate the x:

180 (-125) = x + 125 (-125)

x = 180 - 125

x = 55

55°, or B) is your answer.

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the diameter of a cylinder is 8 inches. the height is 12 inches. what is the surface area of the cylinder?

Ivenika [448]

Answer:

$\boxed{\boxed{\pink{\tt \leadsto The \ Surface\ Area \ is \ 402.28\ in.^3. }}}$

<h3>Step-by-step explanation:</h3>

Given that the the diameter of a cylinder is 8 inches. the height is 12 inches. And we need to find its surface area .

Hence here ,

Height = 12 inches
Diameter of base = 8 inches

Figure :-

$\setlength{\unitlength}{1mm}\begin{picture}(5,5)\thicklines\multiput(-0.5,-1)(26,0){2}{\line(0,1){40}}\multiput(12.5,-1)(0,3.2){13}{\line(0,1){1.6}}\multiput(12.5,-1)(0,40){2}{\multiput(0,0)(2,0){7}{\line(1,0){1}}}\multiput(0,0)(0,40){2}{\qbezier(1,0)(12,3)(24,0)\qbezier(1,0)(-2,-1)(1,-2)\qbezier(24,0)(27,-1)(24,-2)\qbezier(1,-2)(12,-5)(24,-2)}\multiput(18,2)(0,32){2}{\sf{4\ in.}}\put(9,17.5){\sf{12\ in.}}\end{picture}$

$\bf\implies TSA_{Cylinder}= 2\pi r ( r + h) \\\\\bf\implies TSA_{Cylinder} = 2\pi \dfrac{8\ in.}{2} \bigg( \dfrac{8\ in.}{2} + 12 in.\bigg)\\\\\bf\implies TSA_{Cylinder} = 2\pi \times 4 ( 4 \ in.+ 12 \ in.) \\\\\bf\implies TSA_{Cylinder}= 8 \times \dfrac{22}{7}\times 16 in.^3 \\\\\bf\implies\boxed{\red{\bf TSA_{cylinder}= 402.28 in.^3}}$

<h3>★ Hence the Surface area of the Cylinder is 402.28 in.³ .</h3>

6 0

3 years ago

Read 2 more answers

Use a ratio to compare the values. Simplify the ratio. 5 m to 100 cm

SSSSS [86.1K]

The answer is
c - 5 : 1
5m = 500 cm

6 0

3 years ago

According to a 2013 study by the Pew Research Center, 15% of adults in the United States do not use the Internet (Pew Research C

Pavel [41]

Answer:

a) For this case we can use the binomial model since we assume independent events and the same probability for each trial is the same p =0.15

b) $P(X=0)=(10C0)(0.15)^0 (1-0.15)^{10-0}=0.1969$

c) $P(X=3)=(10C3)(0.15)^3 (1-0.15)^{10-3}=0.1298$

d) $P(X \geq 1)= 1-P(X$

And using the result from part a we got:

$P(X \geq 1)= 1-P(X$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n p)$