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2 years ago

Find the missing measurements in triangle ABC. Round your answer to the nearest tenth if necessary.

Mathematics

2 answers:

Aneli [31]2 years ago

8 0

Answer:

m∡B = 55°

AB = 5.2

AC = 7.4

Step-by-step explanation:

m∡B = 180-(90+35)

use Law of Sines to find AB and AC:

sin 90° / 9 = sin 35°/AB

AB = .57(9) = 5.2

sin 90° / 9 = sin 55°/AC

AC = .82(9) = 7.4

Arisa [49]2 years ago

4 0

Answer:

The measure of Angle B= 55°

AB= 5

AC= $\sqrt{56}$

Step-by-step explanation:

180-35-90 = 55.

$5^{2}$ +56=9

$\sqrt{56}$ = 7.48........

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Use the slope-intercept form to Graph y=-1/8x+2

noname [10]

Step-by-step explanation:

This is a straight line equation. We only need two points to draw a straight line.

Choose two different numbers, put them into the equation instead of x, and calculate the value of y.

$y=-\dfrac{1}{8}x+2$

for x = 8

$y=-\dfrac{1}{8}\cdot8+2=-\dfrac{8}{8}+2=-1+2=1$

for x = -8

$y==-\dfrac{1}{8}\cdot(-8)+2=\dfrac{8}{8}+2=1+2=3$

Mark the points in the coordinate system and draw a straight line through the given points.

<em>(look at the attachment)</em>

4 0

2 years ago

Rename 5/6 and 14/15 using the least common denominator.

baherus [9]

Answer:

$\frac{25}{30}~and~\frac{28}{30}$

Multiply 5 by 5 to get your first parameter.

$5 * 5 = 25$

Multiply 6 by 5 to get the denominator, or your second parameter.

$5 * 6 = 30$

For the second fraction, $\frac{14}{15}$ , you need to multiply both parameters by 2, similar to before, but we now must use a different number, otherwise, the denominators will not be the same.

$14 * 2 = 28$

Now, multiply 15 by 2

$15 * 2 = 30$

The last step is to put these numbers you gathered into fractions. The bigger number always goes on the bottom, referred to as the denominator, while the smaller number, referred to as the numerator, always goes on the top.

$25~and~30 -- > \frac{25}{30}$

$28~and~30-- > \frac{28}{30}$

________________________________________________________

Finally, the problem is solved. Now that the problem is solved, we review what we just learned <em>not through more problems, though.</em>

________________________________________________________

<h3>What have we learned?</h3>

We learned how to efficiently make fractions' deominators match.

Questions related to this topic? Ask me in the comments box, please!

8 0

2 years ago

A class of 25 students took a math test. Ten students had an average of 88. The other students had an average of 76. What is the

VLD [36.1K]

The answer is B. 80.8

8 0

3 years ago

Read 2 more answers

The time taken to deliver a pizza has a uniform probability distribution from 20 minutes to 60 minutes. What is the probability

Whitepunk [10]

Answer:

(1) The probability that the time to deliver a pizza is at least 32 minutes is 0.70.

(2a) The percentage of results more than 45 is 79.67%.

(2b) The percentage of results less than 85 is 91.77%.

(2c) The percentage of results are between 75 and 90 is 15.58%.

(2d) The percentage of results outside the healthy range 20 to 100 is 2.64%.

Step-by-step explanation:

(1)

Let <em>Y</em> = the time taken to deliver a pizza.

The random variable <em>Y</em> follows a Uniform distribution, U (20, 60).

The probability distribution function of a Uniform distribution is:

$f(x)=\left \{ {{\frac{1}{b-a};\ x\in [a, b] } \atop {0};\ otherwise} \right.$

Compute the probability that the time to deliver a pizza is at least 32 minutes as follows:

$P(Y\geq 32)=\int\limits^{60}_{32} {\frac{1}{b-a} } \, dx \\=\frac{1}{60-20} \int\limits^{60}_{32} {1 } \, dx\\=\frac{1}{40}\times[x]^{60}_{32}\\=\frac{1}{40}\times[60-32]\\=0.70$