Given:
In triangle ABC, a = 6, c = 4, and B = 75°.
To find:
The measure of b.
Solution:
According to the Law of Cosine:
[tex]b^2=a^2+c^2-2ac\cos B[/tex]
Substituting the given values in the above formula, we get
[tex]b^2=(6)^2+(4)^2-2(6)(4)\cos (75^\circ)[/tex]
[tex]b^2=36+16-48(0.2588)[/tex]
[tex]b^2=52-12.4224[/tex]
[tex]b^2=39.5776[/tex]
Taking square root on both sides, we get
[tex]b=\sqrt{39.5776}[/tex]
[tex]b=6.291073[/tex]
[tex]b\approx 6.29[/tex]
The measure of side b is 6.29 units.
Therefore, the correct option is B.
Simplify the following expression by combining like terms. Select the most simplified expression:
31y + 10 + 11
A) 10 + 11 + 31y
B) 31y + 21
C) 41y +11
D) 42y + 10
Help me pleasee again
Answer:
[tex]w = 8.06[/tex]
Step-by-step explanation:
To find the value of "w" we just have to solve the equation as follows....
[tex]\frac{w}{-1.3} = - 6.2[/tex]
[tex]w = (-6.2)(-1.3)[/tex]
[tex]w = 8.06[/tex]
Answer:
w = 8.06
Step-by-step explanation:
A negative number divided by a negative number is a positive number, so we know it doesn't equal -8 or -10.5, and 4 would have to be divided by something less than 1 to equal -6.2.
Where are the residual values shown on a residual plot?
A) on the y-axis
B) on the x-axis
C) on the line of best fit
D) on the x and y-axis
Answer:
A) on the y-axis
Step-by-step explanation:
A residual plot has the Residual Values on the vertical axis (y-axis); the horizontal axis (x-axis) displays the independent variable.
Simplify the expression.
3.1 - 3.6n - 2n + 5
Answer:
8.1-5.6n
Step-by-step explanation:
So first combine like terms
3.1+5=8.1
-3.6n-2n= -5.6n
Now just combine them
8.1-5.6n
A new bank customer with $4,500 wants to open a money market account. The bank is offering a simple
rate of 1.4%
a. How much interest will the customer earn in 30 years?
b. What will the account balance be after 30 years?
a. The customer will earn $ in interest.
b. After 30 years, the account balance will be $0.
Answer:
a) interest in 30 years will be $1,890
b) account balance in 30 years will be $6,390
Step-by-step explanation:
Interest = Principal · Rate · Time
= 4500 (.014)(30)
= 1,890
Total Amount = Interest + Principal
= 1,890 + 4,500
Help me plz Sadie is 63.5 inches tall. If 2.54 cm equals 1 inch, what is Sadie's height in centimeters?
Answer:
161.29 inches
Step-by-step explanation:
just multiply 63.5 by 2.54
The centimeter equivalent of Sadie's height is 142.875 cm.
What is a unitary method?
A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
Given, Sadie is 63.5 inches tall and 2.54 cm equals 1 inch.
∴ Sadie's height in cm will be his height in inches multiplied by 1 inch equivalent of cm which is,
= (63.5×2.25) cm.
= 142.875 cm.
learn more about the unitary method here :
https://brainly.com/question/28276953
#SPJ2
Jackie's mother is 28 years old, which is four times Jackie's age minus eight years
Answer:
shes 5
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
Which dog eats the most food per week
Answer:
buddy
Step-by-step explanation:
ate 0.4 from a bag
hope this helps
Answer:
Buddy
Step-by-step explanation:
4/10 as a decimal is 0.4
Anyone know how to solve this I’m really stuck on this
Answer:
150°
Step-by-step explanation:
m<SQP = 90° and m<PQR = 60 so their sum m<SQR is = 150°
How do I solve this using long division?
I know this solution but I don't know how I send you the answer....
Step-by-step explanation:
................ +3
2x−3________
.............. 2x−1
Solve for the indicated measures. Will make you brainlist!
Answer:
this is a kite so angle bod is congruent to angle a
a = 120 degrees
360 degrees in a kite. 360 - 102 - 102 - 58 = 98
B= 98 degrees
Find the equation of the line with a slope of 12 that passes through the point (3, -1).
a y = 12x - 4
C y = 12x - 35
b.y = 12x - 37
d.y= 12x + 4
8. Graph the following linear equations.
a. X=3
Given h(x) = -2x + 4, solve for a when h(x) = -8.
Answer:
h(-8)=20
Step-by-step explanation:
plug in -8 for x
Justine had $10 before tutoring t hours for $7 per hour. How much money does she have now
Answer:
10+7t
Step-by-step explanation:
Because when you substitute t = 1, you'll get 17; t=2, you'll get 24 and so on.
Which equation and solution represents the situation: 89% of what
number is 14? Solutions may be rounded to the nearest tenth.
Answer:
12.5
Step-by-step explanation:
89% of 14= 89/100 x 14
=12.46
Rounded to nearest tenth this is; 12.5
In this context *of* means times(x) and % means /100
Can someone pls help me with this homework? I’ll mark brain for someone who gets it!
Answer:
what grade are you in
Step-by-step explanation:
Taco meat costs $5.36 for 2O oz. How much will you pay per ounce for taco meat?
Let U = {all soda pops}, A = {all diet soda pops),
B = {all cola soda pops), C = {all soda pops in cans),
and D = {all caffeine-free soda pops). Describe the
set in words.
s out of
Remove
A n B n D
Select one:
a. All diet, caffeine-free cola pops in cans
b. All soda pops not in cans
c. All diet, caffeine-free cola soda pops
d. All diet and all cola and all caffeine-free soda pops
Which of following is 28/31 closetst to
Answer:
it's closer to a whole.
Step-by-step explanation:
Because its only 3 away from 31.
If you where to do 1/2 it would be 13 away from 1/2.
Also its no where near 0.
your answer is 1 whole.yo can anyone tell me a expression with two terms, one variable and one coefficient. please ty
Answer:
Algebraic expressions are combinations of variables , numbers, and at least one arithmetic operation. For example, 2x+4y−9 is an algebraic expression. ... A term can be a signed number, a variable, or a constant multiplied by a variable or variables. Factor: Something which is multiplied by something else.Polynomial: An algebraic expression which consists of one, two or more terms is called a polynomial. Examples of polynomials: 2a + 5b is a polynomial of two terms in two variables a and b.
Step-by-step explanation:
Hope this helps you :)
I need help *URGENT*
Answer:
option 3
Step-by-step explanation:
Joe Smith scored 37 of 100 his teams points in a game. What percentage of points did he score?
Answer:
37% ;-;
Step-by-step explanation:
Answer:
37%
Step-by-step explanation:
It's kinda obvious...
convert 22 2/5% into decimal
Answer:
0.224
Step-by-step explanation:
Multiply the whole number by the denominator:
22 × 5 = 110
Add the product you got in Step 1 to the numerator:
110 + 2 = 112
Divide the sum from Step 2 by the denominator:
112 ÷ 5 = 22.4
That's it folks! The answer to 22 2/5 in decimal form is displayed below:
22 2/5 = 22.40
[tex]22\frac{2}{5}[/tex] % is equivalent to 0.225 as a decimal.
To convert [tex]22\frac{2}{5}[/tex] % to a decimal, we divide the mixed number by 100.
Convert the mixed number 22 2/5 to an improper fraction:
[tex]22\frac{2}{5}[/tex] = (22 × 5 + 2) / 5
= 112/5
Next, divide the resulting fraction by 100:
112/5 ÷ 100
= 112/5 × 1/100
= 112/500
Simplifying the fraction:
112/500
= 14/62
Divide numerator and denominator by 2:
= 7/31
=0.225
Therefore, [tex]22\frac{2}{5}[/tex] % is equivalent to 0.225 as a decimal.
To learn more on Number system click:
https://brainly.com/question/22046046
#SPJ6
The Faruq family uses 548 liters of water per day.
The Chammas family uses 3 times as much water
per day. How much water does the Chammas family use per week?
Answer:
11508 liters
Step-by-step explanation:
548 x 3 x 7 = 11508
Answer:
1644 liters
Step-by-step explanation:
548 x 3 = 1644 liters
what is the of the line with the following equation (y-3)= -4(x-5)
Answer:
Step-by-step explanation:
x=-\frac{y-3}{4}+5
Answer:
y=-4x+23
Step-by-step explanation:
First express in the form of y=mx+b...equation of a line
y-3= -4(x-5)
y-3= -4x+20... distributing -4
y=-4x+20+3...collecting like terms
y=-4x+23
KSNHLUPIDAUGNDIOUAGDNIYGNSDIAGSND
Answer:
Step-by-step explanation:
?
Ashwin wrote a plan for a proof. What will help complete his plan?
Answer:
Corresponding angles of parallel lines cut by a transversal are congruent.
A recipe for lemonade punchcalls for 6 cups of lemonade for every 24 cups of sprite. Which equation could be used to find x, the percent of lemonade in the whole recipe? i need an answer to this
Answer:
6/24=x/100
Step-by-step explanation:
Computation for the equation that could be used to find x, the percent of lemonade in the whole recipe
The EQUATION to find x, the percent of lemonade in the whole recipe will be :
6 /24=x/100
Hence, cross multiply
x=6/24×100
x=0.25×100
x=25%
Therefore the equation to find x, the percent of lemonade in the whole recipe will be 6/24=x/100 which will give us x= 25% when will cross multiply.
A baseball cap costs $12. A matching shirt costs 2 times as much as the cap. Which of the following can be used to determine the cost of the shirt? *
12 – 2 = _?_
12 + 2 = _?_
12 x 2 = _?_
12 ÷ 2 = _?_
