All categories

2 years ago

Solve for a and determine the measure of each angle:

Mathematics

2 answers:

egoroff_w [7]2 years ago

6 0

(5a-23) + (4a + 44) + (2a + 16) =180
11a + 37 = 180
11a =180-37
11a = 143
a = 143/11
a= 13

Measure of each angle

(5a-23) = 5(13)-23=42°

(4a + 44) = 4(13) + 44=96°

(2a+16) = 2(13) + 16 = 42°

bearhunter [10]2 years ago

4 0

Answer:

a =13

Step-by-step explanation:

180= (44+16-23)+11a

143=11a

143÷11= 13

You might be interested in

Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Draw a typical approximating

MakcuM [25]

Answer:

A=8.4063 $u^{2}$

Step-by-step explanation:

Be the functions:

$y=\frac{3}{x};y=\frac{3}{x^{2}}:x=7$

according the graph:

$\int\limits^1_7 {\frac{3}{x} } \, dx -\int\limits^1_7 {\frac{3}{x^{2} } } \, dx =3\int\limits^1_7 {\frac{1}{x} } \, dx -3\int\limits^1_7 {\frac{1}{x^{2} } } \, dx=3(\int\limits^1_7 {\frac{1}{x} } \, dx -\int\limits^1_7 {\frac{1}{x^{2} } } \, dx)=3[lnx-\frac{1}{x}](1-7)=3[(ln7-ln1)-(\frac{1}{7}-1)]=3[(1.945-0)-(0.1428-1)]=3*(1.945+0.8571)=3*2.8021=8.4063u^{2}$

6 0

3 years ago

Tia is making lemonade for a baseball tournament. The recipe calls for 2/3 cup of strawberries for each gallon of lemonade. She

antoniya [11.8K]

Given:

The recipe calls for $\dfrac{2}{3}$ cup of strawberries for each gallon of lemonade.

Tia has 6 cups of strawberries.

To find:

The number of gallons of lemonade she can make.

Solution:

We have,

$\dfrac{2}{3}$ cup of strawberries for = 1 gallon of lemonade

$1$ cup of strawberries for = $\dfrac{1}{\frac{2}{3}}$ gallons of lemonade

= $1\times \dfrac{3}{2}$ gallons of lemonade

= $\dfrac{3}{2}$ gallons of lemonade

$6$ cup of strawberries for = $6\times \dfrac{3}{2}$ gallons of lemonade

= $\dfrac{18}{2}$ gallons of lemonade

= $9$ gallons of lemonade

Therefore, 9 gallons of lemonade she can make by using 6 cups of strawberries.

7 0

2 years ago

5. When choosing a movie to watch on Netflix, 45% of them are comedies, 30%

baherus [9]

The probability of choosing a horror movie or a comedy is 75%.

<h3>What are probabilities?</h3>

Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.

<h3>What is the probability of choosing a horror movie or a comedy?</h3>

45% + 30% = 75%

To learn more about probability, please check: brainly.com/question/26321175

4 0

2 years ago

3<br><img src="https://tex.z-dn.net/?f=%20%7B3%7D%5E%7B7%7D%20%20%3D%20" id="TexFormula1" title=" {3}^{7} = " alt=" {3}^{7} =

DedPeter [7]

Answer:2187

Step-by-step explanation:

3*3*3*3*3*3*3=2187

3 0

3 years ago

The college student senate is sponsoring a spring break Caribbean cruise raffle, with proceeds going to the local homeless shelt

drek231 [11]

Answer:

The mathematical expectation of a student who purchases 10 tickets is -$39.65.

Step-by-step explanation:

A student that purchases 10 tickets out of 2900 has a probability of winning the cruise that can be calculated as:

$p=10/2900\approx0.00345$

Each ticket cost $5, so he has spent $50 for the 10 tickets.

Then, the expected value of this operation is equal to the expected value of the earnings (probability of winning the prize multiplied by the value of the prize), minus the costs:

$E(X)=p\cdot R-C\\\\E(X)=0.00345\cdot3000-50=10.35-50=-39.65$

The mathematical expectation of a student who purchases 10 tickets is -$39.65.

8 0

2 years ago