Can u help me solve this plsssss???

Answer:

A = 137°   a = 14 cm

B = 26°   b = 9 cm

C = 17°   c = 6 cm

Step-by-step explanation:

Cosine rule

[tex]c^2=a^2+b^2-2ab\cos (C)[/tex]

[tex]\implies C=\cos^{-1}\left(\dfrac{c^2-a^2-b^2}{-2ab}\right)[/tex]

where:

Given:

[tex]\implies C=\cos^{-1}\left(\dfrac{6^2-14^2-9^2}{-2(14)(9)}\right)[/tex]

[tex]\implies C=\cos^{-1}\left(\dfrac{241}{252}\right)[/tex]

[tex]\implies C=16.99128694..\textdegree[/tex]

Sine Rule

[tex]\sf \dfrac{sinA}{a}=\dfrac{sinB}{b}=\dfrac{sinC}{c}[/tex]

(where A, B and C are the angles and a, b and c are the sides opposite the angles)

[tex]\sf \implies \dfrac{sinB}{9}=\dfrac{sin(16.991..)}{6}[/tex]

[tex]\sf \implies B=sin^{-1}\left(\dfrac{9sin(16.991..)}{6}\right)=25.99797699...\textdegree[/tex]

Sum of interior angles of a triangle = 180°

⇒ ∠A + ∠B + ∠C = 180°

⇒ ∠A = 180° - 25.997...°  - 16.9912...°

⇒ ∠A = 137.0107361...°

Answer: The diameter is 28cm

Step-by-step explanation:

Circumference is [tex]2\pi r[/tex] where r is the radius or just [tex]\pi d[/tex] where d is the diameter. For this, we'll use the one with the diameter.

[tex]87.92=3.14d\\\frac{87.92}{3.14} =\frac{3.14d}{3.14} \\28=d[/tex]

Answer:

18.01 units to 2 dec. places.

Step-by-step explanation:

Calculate the length of the 3 lines of the triangle

AB = √ [(5 --1)^2 + ( 0 - -4)^2]

= √(36 + 16)

= √52

= 7.211.

BC = √ [(-1-3)^2 + (-4- -6)^2]

= √(16 + 4)

= √20

= 4.472.

CA = √ [(3-5)^2 + (-6-0)^2]

= √(4 + 36)

= √40

= 6.325.

So the perimeter = 7.211 + 4.472 + 6.325

= 18.008

Answer:

3:1

Step-by-step explanation:

if 1/4 of the counters are black then it means the total counters are 4 and so there are 3 remaining and those become the green counters

The ratio of green to black counters is 3:1

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Given that A bag contains green and black counters, 1/4 of the counters are black.

Since, 1/4 is black counters therefore, 1 - 1/4 are green counters

So, there are 3/4 green counters

Ratio = (3/4)/(1/4) = 3/1  3:1

Hence, The ratio of green to black counters is 3:1

For more references on Ratio, click;

https://brainly.com/question/13419413

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Answer:

150.72

Step-by-step explanation:

Answer:

it will 3.14.

Step-by-step explanation:

there is no number after 4

Answer:

-3>-4 is correct

Step-by-step explanation:

Reason:

The keyword "given" is a universal indicator we're dealing with conditional probabilities. It sets up prior knowledge to reduce down the sample space.

The fact that we know the candy is red means that we only focus on the red candies (and shrinks down the set).

Conditional probability is represented by probability that the candy is blue.

One of the fundamental ideas in probability theory is the idea of the conditional probability formula. The conditional probability formula calculates the likelihood of an event, say B, given the occurrence of another event, say A.  

By knowing the conditional probability of event B given that event A has occurred and the individual probabilities of events A and B, the Bayes theorem may be used to calculate the conditional likelihood of event A given that event B has occurred.

We have,

Some red, white, and blue candies were placed in a bowl.

Some contain nuts, and some do not.

Here we are only focusing on the red candy which shows we have reduce the sample space.

Learn more about conditional probability here:

brainly.com/question/13044823

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Answer:

D

Step-by-step explanation:

Hope this Helps!

Answer:

904.8 units^3

Step-by-step explanation:

The formula for the area of a circle is [tex]4/3 \pi r^3[/tex]

By the picture we know r = 6

Thus our answer is 4/3 * π * [tex]6^3[/tex]

This is the same as 4/3 * 216 * π = 904.778684234

Rounding to the nearest tenth yields 904.8 units^3

Answer:

  [tex]\text{\% change}=\dfrac{(\text{New value})-(\text{Old value})}{\text{Old value}}[/tex]

Step-by-step explanation:

A percentage change is quotient of the difference between the new value and old value, and the old value. That fraction is expressed as a percentage in the usual way.

__

Here, the problem statement tells you to fill in the blanks with "NOO."

  [tex]\text{\% change}=\dfrac{(\textbf{N}\text{ew value})-(\textbf{O}\text{ld value})}{\textbf{O}\text{ld value}}\times100\%[/tex]

Answer:18

Step-by-step explanation:

Answer:

A random sample is meant to be an unbiased representation of the larger population.

Answer:

450,000

This is because 400,000 and 500,000 have no other numbers that could be the middle, so it has to be directly in-between both numbers.

__________________________________________________________

Questions related to this topic? Please ask me in the comments box.

Answer:

450,000

Step-by-step explanation:

500,000-400,000 = 100,000

100,000/2 = 50,000

400,000 + 50,000 = 450,000

Finding half of the value between 500,000 and 400,000 results in 50,000 and you can add that to the lesser value to get to the halfway point between the two numbers.

Answer:

15/4 or 3 3/4

Step-by-step explanation:

since 1/5 has 1 as a numerator,

5 x 3/4=

15/4

it will take about 3 hours and 45 minutes

Answer:

1. ≈301.6

2.≈10210.18

Step-by-step explanation:

1. A=2πrh+2πr2=2·π·4·8+2·π·42≈301.59289

A=2πrh+2πr2=2·π·25·40+2·π·252≈10210.17612

Answer:

the first one i think

Step-by-step explanation:

Answer:

You have to give a reference or a picture or a number or something.

Step-by-step explanation:

We can't guess what the numbers are you have to state them.

Answer:

$654

No explanation! sorry!

Answer:

13,440 per year.

Step-by-step explanation:

His pay check would be deducted over 93% which is 12,406 spent on bills, and about $90 left to spend on whatever he wants. (LoL)

Answer:

54

Step-by-step explanation:

Well you have 120 minutes at the gym

Minus 21 minutes for stretching

Minus Jogging for 45 minutes

120-66=54

So 54 minutes spent lifting

Answer:

b

Step-by-step explanation:

Answer:

19/40 = 0.475 You can use either the fraction or the decimal

Step-by-step explanation:

3/5  - 1/8 = 3 · 8/5 · 8 - 1 · 5/8 · 5 = 24/40  - 5/40 = 24 - 5/40  = 19/40

Answer:

[tex] \frac{3}{5} - \frac{1}{8} = \frac{19}{40} [/tex]

TOTAL:

=0.475

Step-by-step explanation:

3/5 - 1/8 = 3.8/5.8 - 1.5/8.5 = 24/40

- 5/40 = 24-5/40 - 24-6/40 =19/40

✿For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(5, 8) = 40. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 5 × 8 = 40. In the following intermediate step, it cannot further simplify the fraction result by canceling.

Answer:

(4, 2) or (4, -6)

Step-by-step explanation:

Going 4 miles north would move the point (4, -2) 4 units up. When done so, the point (4, 2) is reached.

Going 4 miles south would move the point (4, -2) 4 units down. When done so, the point (4, -6) is reached.

A graph is shown below for further conformation.

hope this helps!

Answer:

x equals 40 since 3 × 2 is 6 you do 20 × 2 which is 40

Answer:

2/2. and 4/4

Step-by-step explanation:

because 8/8 is 1 and 2/2 and 4/4 are both 1 .

do u mind giving me brainlest im trying to level up.

thank u

Step-by-step explanation:

Using the Theorem,

LN*NL = KN*NJ

(7x-11)*14 = 16*(3x+6)

98x - 154 = 48x + 96

98x-48x = 96+154

50x = 250

x= 250/50