Answer: -2
Step-by-step explanation: Perpendicular lines have negative reciprocal slopes. That means the fraction is flipped and multiplied by negative 1.
R is a supplement of S, S is a complement of T, and mT = 72º . Find mR – mS.
Step-by-step explanation:
complementary angle is 90 degrees
so angle t and s are complementary
measure of angle t is 72 degrees
so measure of angle s will be 90 degrees minus 72 degrees which gives 18 degrees
so measure of angle s is 18 degrees
angle r and angle s are supplement which means their sum is 180 degrees
so measure of angle r will be 180 minus 18 which gives 162
so measure of angle r is 162 degrees
we need to find measure.of angle r minus measure.of angle s
so 162 minus 18 which gives 14r
Is a triangle with two 45 degree angles unique
Answer:
No. It's just a 90° angle.
Step-by-step explanation:
2(4a+1)=3a
a=? Help plz
Answer:
a=-0.4
Step-by-step explanation:
2(4a+1)=3a
8a+2 = 3a
5a+2=0
5a=-2
a=-0.4
Answer:
a = -2/5
Step-by-step explanation:
2 (4 [-2/5] + 1) = 3 (-2/5)
2 (-8/5 + 1) = -6/5
2 (-3/5) = -6/5
-6/5 = -6/5
If f(x)=x^3-12x^2+35x-24f(x)=x 3 −12x 2 +35x−24 and f(8)=0f(8)=0, then find all of the zeros of f(x)f(x) algebraically.
Answer:
The zeros of f(x) are: (x - 1), (x - 3) and (x - 8)
Step-by-step explanation:
Given
[tex]f(x)=x^3-12x^2+35x-24[/tex]
[tex]f(8) = 0[/tex]
Required
Find all zeros of the f(x)
If [tex]f(8) = 0[/tex] then:
[tex]x = 8[/tex]
And [tex]x - 8[/tex] is a factor
Divide f(x) by x - 8
[tex]\frac{f(x)}{x - 8} = \frac{x^3-12x^2+35x-24}{x - 8}[/tex]
Expand the numerator
[tex]\frac{f(x)}{x - 8} = \frac{x^3 - 4x^2 -8x^2 + 3x + 32x - 24}{x - 8}[/tex]
Rewrite as:
[tex]\frac{f(x)}{x - 8} = \frac{x^3 - 4x^2 + 3x - 8x^2 +32x - 24}{x - 8}[/tex]
Factorize
[tex]\frac{f(x)}{x - 8} = \frac{(x^2 - 4x + 3)(x - 8)}{x - 8}[/tex]
Expand
[tex]\frac{f(x)}{x - 8} = \frac{(x^2 -x - 3x + 3)(x - 8)}{x - 8}[/tex]
Factorize
[tex]\frac{f(x)}{x - 8} = \frac{(x - 1)(x - 3)(x - 8)}{x - 8}[/tex]
[tex]\frac{f(x)}{x - 8} = (x - 1)(x - 3)[/tex]
Multiply both sides by x - 8
[tex]f(x) = (x - 1)(x - 3)(x - 8)[/tex]
Hence, the zeros of f(x) are: (x - 1), (x - 3) and (x - 8)
Lucy has a total of $25 to spend on her cold cuts for lunch for the week. Turkey costs $6.00 a pound and ham costs $4.50 a pound. Write an equation that Lucy can use to show the total amount of pounds of cold cuts she can buy with her $25. If Lucy bought 2.5 pounds of turkey, how many pounds of ham can she buy?
Answer:
[tex]25=6t+4.5h[/tex]
2 pounds of ham
Step-by-step explanation:
1) Construct an equation
Let [tex]t[/tex] be equal to the number of pounds of turkey.
Let [tex]h[/tex] be equal to the number of pounds of ham.
We know that every pound of turkey costs 6 dollars, so the amount of money Lucy must spend on turkey is [tex]6t[/tex].
We also know that every pound of ham costs 4.50 dollars, so the amount of money Lucy must spend on ham is [tex]4.5h[/tex].
However, because 25 dollars is her budget, [tex]6t[/tex] and [tex]4.5h[/tex] must be equal to 25.
[tex]25=6t+4.5h[/tex]
2) How much ham can Lucy buy if she bought 2.5 pounds of turkey?
[tex]25=6t+4.5h[/tex]
Plug in 2.5 as [tex]t[/tex]
[tex]25=6(2.5)+4.5h\\25=15+4.5h[/tex]
Subtract both sides by 15
[tex]25-15=15+4.5h-15\\10=4.5h[/tex]
Divide both sides by 4.5
[tex]\frac{10}{4.5}=\frac{4.5h}{4.5} \\2.22=h[/tex]
Therefore, Lucy can buy 2 pounds of ham if she bought 2.5 pounds of turkey.
I hope this helps!
Answer:
6x + 4.5y ≤ 25
If Lucy bought 2.5 pounds of turkey, she can buy at most 2.22 pounds of ham.
Step-by-step explanation:
6(2.5) + 4.5y ≤ 25
15 + 4.5y ≤ 25
4.5y ≤ 10
y ≤ 2.22
can you please help me with this question
Answer:
your answer will be 1
Step-by-step explanation:
[tex]Tan (-135)\\\\=-Tan 135\\\\-Tan(90+45)\\\\-(-co+45)\\\\+co+45\\\\=1[/tex]
hope it helps
Help PLZ WILL GIVE BRAINLIEST!!!! What is the value of x?
4
42√
8
82√
Answer:
g
Step-by-step explanation:
Triangle LMN is similar to Triangle TSU. What's the value of x?
Answer:try 12
Step-by-step explanation:
24/18=4/3=1.333333333
16/1.333333333=12
What is an equation of the line that passes through the point ( − 1 , − 3 ) and is perpendicular to the line x − 2 y = 14?
Answer:
y = -2 -5
Step-by-step explanation:
x - 2y = 14
-2y = -x + 14
y = 1/2x - 7
-3 = -2 (-1) + b
-3 = 2 + b
-5 = b
y = -2 -5
When randy works 5 hours as a baseball umpire. he earns $77.50. when he works 18 hours, he earns $279.00. which equation represents randy’s earnings(m) for any number of hours(h)?
Answer:
m=15.5h
Step-by-step explanation:
279 divided by 18 and 77.5 divided by 5 equal 15.5 so that is how much randy gets paid per hour (h)
Answer:
h(15.50)=m
Step-by-step explanation:
He earns 15.50 dollar per hour
77.50/5=15.5
279/18=15.5
Jill can run 5 miles in 45 minutes. If she keeps the same pace, how long will it take her to run 18 miles?
Answer:
T = 162 minutes
Step-by-step explanation:
Given that,
Jill can run 5 miles in 45 minutes.
We need to find how long will it take her to run 18 miles.
[tex]5\ miles =45\ minutes\\\\1\ mile=(\dfrac{45}{5})\ minute\\\\1\ mile =9\ minute[/tex]
So,
18 miles = (18×9) minutes
= 162 minutes
Hence, 162 minutes will be taken by her to run 162 minutes.
The value of x in the expression
2x/3 - 7 = 5 is
Answer:
The answer is X = 18
Step-by-step explanation:
2x/3 - 7 = 5
Multiply both sides if the equation by 3 : 2x - 21 = 15
Move the constant to the right hand side and change its sign : 2x = 15 + 21
Calculate 2x = 15 + 21
2x = 36
Divide both sides of the eqaution by 2 : 2x = 36
x = 18
Answer X = 18
If the perimeter of a rectangle garden with a width of 15 is 125, what is the perimeter of the daily record it if the scale factor is 60%
Answer:
(here i assume that the daily record is another rectangle)
For a rectangle with width W and length L, the perimeter is:
P = 2*W + 2*L
in this case we know that:
P = 125
W = 15
Replacing these in the perimeter equation we get:
125 = 2*15 + 2*L
125 = 30 + 2*L
125 - 30 = 2*L
95 = 2*L
95/2 = L = 47.5
Now we know that the daily record has a scale factor of 60%.
This means that each measure of this rectangle is (60%/100%) times the equivalent measure of the rectangle garden.
Then if the width of the daily record is W' and the length of the daily record is L'
This means that:
L' = (60%/100%)*L = 0.6*L = 0.6*47.5
W' = (60%/100%)*W = 0.6*W = 0.6*15
Then the perimeter is:
P' = 2*0.6*47.5 + 2*0.6*15 = 75
(notice that is exactly the same than multiplying the original perimeter by (60%/100%) = 0.6)
Hey I'm Chloe can you help me, I will give Brainlest :) Thank you :)
Chris and Alex Were Building a sand Castle. They Decided to make it into a cone shape. After some time, the diameter of the the sand shaped cone was 12in and the height was 7in. What is the exact volume of the sand cone?.
Is 7 asolution for the equation 2x + 12=3x +(-2x + 5)
Answer:
No
Step-by-step explanation:
2X + 12=13x - 2x + 5
2X + 12= 11x+5
2x-11x = 5-12
-9x = -7
X = 7/9
so the answer is NO
Ms. Fox bought a car for $8000 that depreciates at a rate of 11% a year. Write an equation to model the car’s worth and use it to determine how much the car is worth after 5 years. (Round to the nearest cent)
An
Step-by-step explanation:
5. It is known that 15% of the seniors in a large high school enter military
service upon graduation. If a group of 20 seniors are randomly selected,
what is the probability of observing two who will be entering military
service? *
Answer:
Hope this helps you. Do mark me as brainliest.
The probability of 2 seniors out of 20 serving in the military is ²⁰C₂(0.15)²(0.85)¹⁸.
What is a Binomial distribution?A common discrete distribution is used in statistics, as opposed to a continuous distribution is called a Binomial distribution. It is given by the formula,
[tex]P(x) = ^nC_x p^xq^{(n-x)}[/tex]
Where,
x is the number of successes needed,
n is the number of trials or sample size,
p is the probability of a single success, and
q is the probability of a single failure.
As it is given that 15% of the seniors in a large high school enter military
service upon graduation. Therefore, the probability of a large high school entering the military services will be 0.15. Similarly, the probability of a senior from a large high school not joining entering the military can be written as,
[tex]q = (1-p)\\\\q = 1-0.15\\\\q=0.85[/tex]
Now, the probability of 2 seniors out of 20 serving in the military will be,
[tex]P(x) = ^nC_x p^xq^{(n-x)}\\\\P(x=2) = ^{20}C_2 \times (0.15)^2 \times (0.85)^{(20-2)}\\\\P(x=2) = ^{20}C_2 \times (0.15)^2 \times (0.85)^{(18)}[/tex]
Hence, the probability of 2 seniors out of 20 serving in the military is ²⁰C₂(0.15)²(0.85)¹⁸.
Learn more about Binomial Distribution:
https://brainly.com/question/14565246
PLEASE HELP!! desperate!
Solve this;
find area of circle
Answer: 75 ft^2
Step-by-step explanation:
Radius is half of the diameter. Diameter is given as 10.
3 (5)^2
3 x 25 = 75 ft^2
Find the value of 3a when a= 6.
Answer:
18
Step-by-step explanation:
a = 6
3a = 6 x 3 = 18
When you see alphabets with numbers at the back like 2, 4 or etc, just multiply them.
*PLEASE ANSWER!!!*
What can you create to help you make a plan on how to spend your money?
a.) A tax form
b.) A deposit
c.) A budget
Answer:
c
Step-by-step explanation:
A budget
hope this helps
Please help :) I’m really in need of assistance and would appreciate it.
Answer:
[tex]D) 0.5x^3y + 4x^2 y^2 - 2xy^3[/tex]
Step-by-step explanation:
Set up an equation to model the situation,
[tex](-0.5xy)(x^2 + 8xy - 4y^2)[/tex]
Distribute, multiply each term in the parenthesis with the term outside of the parenthesis. Don't forget the laws of exponents, when one multiplies two exponents, with the same base, then one adds the two exponents. A number with no exponential term is two the first degree meaning that it is to the power of one.
[tex]-0.5x^3 y - 4x^2 y^2 + 2xy^3[/tex]
The costs of general admission and student tickets to a high school football game are $7 and $4 respectively. The ticket sales for one game totaled $11,200. Write an equation which models the situation.
Answer:
7x + 4y = 11,200
Step-by-step explanation:
Let
Number of Admission tickets A = x
Number of Admission tickets B = y
Cost of Admission tickets A = $7
Cost of Admission tickets B = $4
Total cost = $11,200
The equation is:
7x + 4y = 11,200
one angle of a triangle measures 35°. A second angle measures (3x)°, and the third angle measures 2x - 20)°. what is the value of x?
Answer:
x = 33
Step-by-step explanation:
Sum of the angles in a triangle is 180 so,
35 + 3x + 2x - 20 = 180
35 + 5x - 20 = 180
15 + 5x = 180
5x = 180 - 15
x = 165/5
x = 33
help me please I'm bad at this
Answer:
39
NOTE: JUST SUBTRACT 45 AND 6
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Have a great day, be safe and healthy
Thank u
XD
Plz help ASAP!! Alg. 1 question below
A
Its the first equation.
Answer:
x+y-5=0
Step-by-step explanation:
Area and perimeter pls
Perimeter 97.24
90 + 5 + 2.25
Area 1008
90 * 5 * 2.24 = 1008
In AUVW, v = 39 inches, u = 37 inches and ZU=66º. Find all possible values
of XV, to the nearest 10th of a degree.
Answer:
74.3 and 105.7
Step-by-step explanation:
In ΔUVW, v = 39 inches, u = 37 inches and ∠U=66°. Find all possible values of ∠V, to the nearest 10th of a degree.
U
V
W
u = 37
v = 39
66°
?°
\frac{\sin A}{a}=\frac{\sin B}{b}
a
sinA
=
b
sinB
From the reference sheet (reciprocal version).
\frac{\sin V}{39}=\frac{\sin 66}{37}
39
sinV
=
37
sin66
Plug in values.
\sin V=\frac{39\sin 66}{37}\approx 0.9629263
sinV=
37
39sin66
≈0.9629263
Evaluate.
V=\sin^{-1}(0.9629263)\approx 74.35\approx 74.3^{\circ}
V=sin
−1
(0.9629263)≈74.35≈74.3
∘
Inverse sine and round.
\text{Quadrant II: } 180-74.3=105.7^{\circ}
Quadrant II: 180−74.3=105.7
∘
Sine is positive in quadrants 1 and 2.
\text{Check for possibility:}
Check for possibility:
No triangle's angles may add to more than 180.
66+74.3=140.3^{\circ}\leftarrow \text{Possible}
66+74.3=140.3
∘
←Possible
Less than 180.
66+105.7=171.7^{\circ}\leftarrow \text{Possible}
66+105.7=171.7
∘
←Possible
Less than 180.
\text{Answer: }74.3^{\circ}\text{ and } 105.7^{\circ}
Answer: 74.3
∘
and 105.7
∘
The possible value of the angle XV, to the nearest 10th of a degree in the triangle UVW, where v = 39 inches, u = 37 inches and ZU=66º is 74.4°
What is the law of sine?
The law of sine is nothing but the relationship between the sides of the triangle to the angle of the triangle (oblique triangle).
It can be given as,
[tex]\dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c}[/tex]
Here (A,B,C) are the angle of the triangle and (a,b,c) are the sides of that triangle.
In triangle UVW,
v = 39 inches, u = 37 inches Angle U=66º.Put the values in the formula of sine law,
[tex]\dfrac{\sin V}{v}=\dfrac{\sin U}{u}\\\dfrac{\sin V}{39}=\dfrac{\sin 66}{37}\\\sin V=\dfrac{\sin 66}{37}\times39\\V=\sin^{-1}(0.9629)\\V\approx 74.4^o[/tex]
Thus, the possible value of the angle XV, to the nearest 10th of a degree in the triangle UVW, where v = 39 inches, u = 37 inches and ZU=66º is 74.4°
Learn more about the sine law here;
https://brainly.com/question/2264443
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please help, I'm dum
Answer: should be cos 52
Step-by-step explanation: :)
Answer:
a hope it helps make brainlliest ty the tasmanian
Please answer...Easy math
Answer:
[tex] P(A^c) =0.38[/tex]
Step-by-step explanation:
[tex]\because P(A) + P(A^c) = 1 \\ \\ \therefore \: P(A^c) = 1 - P(A) \\ \\ \therefore \: P(A^c) = 1 - 0.62 \\ \\ \therefore \: P(A^c) =0.38[/tex]