2b + 21 < 22
b is the unknown number so multiply it by 2 to get 2b then add 21, bring the less than sign and write the 22 after the less than sign
Triangle in space with vertices P= (1, 0, 0), Q = (0,1,0), R=(0, 0, 2), find angle at P P=
Answer:
71.6°
Step-by-step explanation:
The angle can be found from the dot product of PQ and PR.
PQ·PR = |PQ|×|PR|×cos(α)
where α is the angle between the two segments.
cos(α) = (Q -P)·(R -P)/(|Q -P|×|R -P|)
= ((0, 1, 0) -(1, 0, 0))·((0, 0, 2) -(1, 0, 0))/(|Q -P|×|R -P|)
= (-1, 1, 0)·(-1, 0, 2)/(√(((-1)² +1²)((-1²) +2²)) = (1+0+0)/√10
α = arccos(1/√10) ≈ 71.6°
The angle at P is about 71.6°.
_____
Additional comment
The side lengths of the triangle are √2, √5, √5. As we have seen, the angle at P is bounded by the sides of length √2 and √5. The law of cosines can also be used to arrive at the angle between these sides.
Margit works in a factory. She receives a salary of $12 per hour and piecework pay of 12 cents per unit produced. Last week she worked 38 hours and produced 755 units. What was her piecework pay?
Based on the way the piecework pay is calculated, Margit's piecework pay will be $90.60
The piecework pay is 12 cents for every unit that is produced.
Margit was able to produce 755 units in that week so her piecework pay will be:
= Number of units produced x Pay per unit
= 755 x 0.12
= $90.60
In conclusion, Margit should get a piecework pay of $90.60
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On which number line -9 and its opposite shown?
Answer:C TRUST MEEE
Step-by-step explanation:
mark as brainliest
SOMEBODY HELP NO LINKS PLZ AND THANK YOU
two stores opened on the same day. Both stores have 75 customers by the end of the first week, Store A'S customers doubled each week for six weeks, Store B's customers increased by 200 each week for six weeks. Which store had more customers at the end of week 5 ?
A Store A
B Store B
C They have the same number of customers
D Not enough information
show work plz and thank you
Answer: store b
Step-by-step explanation:
helppppppppppppppp me
Answer:
I think it is A hope this helps
Step-by-step explanation:
Ashleigh bought 5 chocolate eggs for $1.00 EACH and a
basket for $1.79. How much did she spend?
Answer:
The answer is 6.79 dollars
Step-by-step explanation:
The answer is 6.79 dollars because 5 times 1 (she bought 5 eggs for 1 dollar each) + the added basket 1.79 equals $6.79
Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region y=4x^2, y=x^2 + 3
Answer:
Step-by-step explanation:
integrate with respect to x
Area is symmetric so will be twice the integral from zero to 1
( I cannot seem to figure out how to make the lower limit negative in this editor)
[tex]A = 2\int\limits^1_0 {(x^2 + 3) - 4x^2} \, dx[/tex])
[tex]A = 2\int\limits^1_0 {-3x^2 + 3} \, dx[/tex]
[tex]A = 6\int\limits^1_0 {-x^2 + 1} \, dx[/tex]
A = 6(-⅓x³ + x)[tex]\left \| {{x=1} \atop {x=0}} \right.[/tex]
A = 6((-⅓(1)³ + (1)) - (-⅓(0)³ + (0)))
A = 6(⅔)
A = 4 units²
How do u do these percentages questions
Answer:
Step-by-step explanation:Determine the initial format of the number to be converted to a percentage. ...
Carry out a mathematical process on the number to be converted to a percentage. ...
Multiply the result of the mathematical process by 100. ...
Find the percentage of the original or real number. ...
Multiply the final number by 100.
Plsss helpp no links plss
Answer:
arrange them: -9x^3+2x^3-4x^2+x^2-6x-5x
the simplified is: -7x^3-3x^2-11x
Principal = $ 15000, rate = 10% p.a. and time
21/5 years
PLS HELP ASAP
Answer:
Simple Interest: A=P(1+rt)
A=15000(1+(0.1*4.2))
A=$21,300
Compound Interest:A=P(1+r/n)^nt
A=15000(1+0.1/4.2)^1*4.2
A=$64,500
Step-by-step explanation:
a simplifie 6 × ( - 24 ) ÷ ( -4 )
[tex]\huge\textbf{Hey there!}[/tex]
[tex]\huge\boxed{\mathsf{6\times(-24)\div (-4)}}\\\huge\boxed{= \mathsf{\dfrac{6(-24)}{-4}}}\\\huge\boxed{\mathsf{= \dfrac{\bold{-144}}{-4}}}\\\huge\boxed{\mathsf{\dfrac{-144\div-4}{-4\div-4}}}\\\huge\boxed{= \mathsf{\dfrac{\bold{36}}{1}}}\\\huge\boxed{\mathsf{= 36\div1}}\\\huge\boxed{\mathsf{= 36}}\\\\\\\huge\text{\bf Therefore, your answer is: \boxed{\mathsf{36}}}\huge\checkmark[/tex]
[tex]\huge\text{\bf Good luck on your assignment and enjoy}\\\huge\text{\bf your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
4+2g+5g=-66
help me
plsss
pls
Dylan is knitting a scarf, and he wants the final product to be 4 inches wide and 63 inches long. Each skein of yarn will knit a rectangle that is 4 inches by 9 inches. How many skeins should Dylan buy?
Answer:
7
Step-by-step explanation:
63 / 9 = 7
Income You are starting your first job as an assistant manager at a
sporting goods store. You receive a base salary of $14.75 per hour with
time-and-a-half for hours in excess of 40 hours per week. You are paid
every two weeks. Social Security and Medicare are deducted from your
pay. Social Security tax is 6.2% of the gross pay. Medicare tax is 1.45% of
the gross pay. What is the bi-weekly (every two weeks) deduction for
Social Security and Medicare? *
O $118.00
O $76.50
$89.90
$90.27
The bi-weekly deduction for Social Security and Medicare is $90.27.
Since you receive a base salary of $ 14.75 per hour with time-and-a-half for hours in excess of 40 hours per week, and you are paid every two weeks, and Social Security and Medicare are deducted from your pay, and Social Security tax is 6.2% of the gross pay, and Medicare tax is 1.45% of the gross pay, to determine what is the bi-weekly (every two weeks) deduction for Social Security and Medicare, the following calculation must be performed:
(14.75 x 40 x 2) x ((1.45 + 6.2) / 100) = X 1180 x 0.0765 = X 90.27 = X
Therefore, the bi-weekly deduction for Social Security and Medicare is $90.27.
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if 7 men and 5 womean have applied for job and 3 applicants are randomly selected from the probability that 2 are men
The probability that 2 men are selected is 49/144
Probability is the likelihood or chance that an event will occur.
If 7 men and 5 women have applied for job, the total number of people that applied will be 12 people
Pr(2 men are selected) = 7/12 * 7/12Pr(2 men are selected) = 49/144Hence the probability that 2 men are selected is 49/144
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Sam earns $12 per hour. The store offers him a raise--a 6% increase per hour. After the raise,
how much will Sam make per hour?
Answer:
Solution here
Earning=$12 per hour
Raise=6%
The amount earned by Sam after raise=6×12/100
=72/100
=$0.72
The total amount made by Sam after the raise = $12+$0.72
=$12.72
Netan surveyed 460 teenagers to find out their favorite type of movie. He found that 45% of the teenagers surveyed like comedies.
Part A: How many teenagers surveyed like comedies? Show your work. (4 points)
Part B: In another survey, Hannah found that 50% of the total number of teenagers surveyed like thrillers. If 40 teenagers like thrillers, what is the total number of teenagers that Hannah surveyed? Show your work. (4 points)
Part C: Give an example of a situation in which a percentage is greater than 100%. (2 points)
Question 3 options:
Answer with step-by-step explanation:
A: 207
We know that percentage is out of 100, so we can divide 460 by 100 to find 1%, which is 4.6. We also know 45% percent of teenagers like comedies, so we multiply 4.6 by 45, or 207. 207 teenagers like comedies.
B. 80 teenagers
We know that 50% of teens Hannah surveyed like thrillers. We also know that 40 teenagers like thrillers. Using multiplication, we can multiply 40 by 2, since 50% is half, we need to multiply by 2 to get the total number of teenagers. Hannah surveyed 80 teenagers.
C. Jamie went to the candy store and spent his entire allowance of $20 on candy. His friends gave him $5 more dollars, so he bought candy with that too. He spent 125% of his allowance on candy.
The number of teenagers who like comedy is 207, and The total number of teenagers Hannah surveyed is 100.
What is percentage?A percentage, often known as percent, is a division by 100. Percentage, which means "per 100," designates a portion of a total sum. 45 out of 100 is represented by 45%, for instance. Finding the percentage of a whole in terms of 100 is what percentage calculation is. Both manual calculation and the use of internet calculators are options.
Given:
Netan surveyed 460 teenagers, He found that 45% of the teenagers surveyed like comedies,
(a) Calculate the number of teenagers who like comedy as shown below,
The number of teenagers who like comedy = 45 × 460 / 100
The number of teenagers who like comedy = 207
(b) Calculate the total number of teenagers as shown below,
The total number of teenagers × 50% = 40
The total number of teenagers = 40 × 100 / 40
The total number of teenagers = 100
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#SPJ2
What is the slope of the line (1,4) (3,2)
Step-by-step explanation:
the slope is the ratio of "y coordinate change / x coordinate change".
so, in our case here
x changes by +2 (from 1 to 3).
y changes by -2 (from 4 to 2).
so, the slope is -2/2 = -1.
If a = − 3 and b=−i, then find the value of a^ 3b in fully simplified form.
Answer:
27i.
Step-by-step explanation:
a^3b = (-3)^3 * -i
= -27 * -i
= 27i.
(x+1)/(x+2)=3/4
Solve the equation
Brent buys a dinning table that costs $150 before tax. The sales tax is 8% . How much tax did he pay?
Answer:
12
Step-by-step explanation:
its just twelve beliebe me
Can someone help me answer please
Answer:
i dont know sry
Step-by-step explanation:
What is the probability of randomly selecting a month pf year and not getting a month that ends in y?
Answer:
2/3
Step-by-step explanation:
The months whose names end in 'y' include Jan, Feb, May, Jul. The probability of randomly selecting a month whose name ends in 'y' is 4/12 (remember that there are 12 months in a year), or 1/3.
Thus, the probability of selecting a month whose name does NOT end in 'y' is 8/12, or 2/3. Note that this event is the 'complement' of the first event:
P(name does not end in 'y') = 1 - P(name does not end in 'y') = 1 - 1/3 = 2/3
write an equivalent expression for 3(2z+4)
Answer:
6z+12
Step-by-step explanation:
you distribute it
Use the graph method to solve the system of linear equations:
2x + y = 3 and x + y = 3
A) (-1.5, 0)
B) (0, -1.5)
C) (0,3)
D) (3,0)
Answer:
C) (0,3)
Step-by-step explanation:
It would be that answer because I found the answer in a website. Its Math-way
Answer:
C) (0,3)Step-by-step explanation:
Graph each line on the same plane and take the point of their intersection.
Given linear equations:
2x + y = 3 and x + y = 3See the attached to confirm the answer is the point (0, 3)
can anyone slove this
Δ PQR has: PM is a median
so: MR = QM = 3 cm
ANSWER: MR = 3 cm
Ok done. Thank to me :>
A tire company paid $4,992 for 64 tires. Which is the most reasonable estimate for the cost of each tire?
in the given figure ,o is the centr of the circle, ab is the diameter and do is perpendicular to ab. prove that angle AEC= ANGLE ODA
The given triangles ΔDOA and ΔABC are right triangles that have a
common vertex at point A.
ΔDOA is similar to ΔABC, and ∠AEC is equal to ∠ABC, therefore, ∠AEC = ∠ODAReasons:
The given parameters are;
The diameter of the circle with center O = AB
DO ⊥ AB (DO is perpendicular to AB)
Required:
Prove that ∠AEC = ∠ODA
A two column proof is presented as follows;
Statement [tex]{}[/tex] Reason
1. AB is the diameter of circle [tex]{}[/tex] 1. Given
2. DO is perpendicular to AB [tex]{}[/tex] 2. Given
3. ∠DOA = 90° [tex]{}[/tex] 3. Definition of DO ⊥ AB
4. ∠BCA = 90° [tex]{}[/tex] 4. Thales theorem
5. ∠BCA ≅ ∠BCA [tex]{}[/tex] 5. Reflexive property
6. ΔDOA ~ ΔABC [tex]{}[/tex] 6. AA similarity postulate
7. ∠ABC ≅ ∠ODA [tex]{}[/tex] 7. CASTC
8. ∠ABC = ∠ODA [tex]{}[/tex] 8. Definition of congruency
9. ∠AEC ≅ ∠ABC [tex]{}[/tex] 9. Angles in the same segment
10. ∠AEC = ∠ABC [tex]{}[/tex] 10. Definition of congruency
11. ∠AEC = ∠ODA [tex]{}[/tex] 11. Transitive property of equality
In statement 6, ΔDOA is similar to ΔABC by Angle-Angle, AA, similarity
postulate, therefore, the three angles of ΔDOA are congruent to the three
angles of ΔABC.
Therefore ∠ABC ≅ ∠ODA by Corresponding Angles of Similar Triangles
are Congruent, CASTC.
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WILL GIVE BRAINLIEST
Answer:
its the 2nd and the 6th one
Step-by-step explanation:
ALOT OF POINTS FOR THIS ONE
Admission to the state fair is $12, and each ride ticket costs $3.50. Write an
expression to represent the situation and explain what the variable means.
3.50t + 12 where t represents the number of ride tickets
3.50a + 12 where a represents the cost of admission
12a + 3.50 where a represents the cost of admission
12t + 3.50 where t represents the number of ride tickets
Answer : 3.50t + 12
Step - by - step explanation :
the reason why I think the answer is " 3.50t + 12 " is because . . . since the admission to the state farm is only ONCE - there doesn't need to be a variable there to tell us that it MIGHT repeat more than once. and because we don't know how many ride ticket will be purchased - there is a variable there to tell us unknown.