Answer:
(c) 55°, 90°, and 35°
Step-by-step explanation:
Given lists of angle measures, you want to know which could be the interior angles of a triangle.
Angle sum theoremThe angle sum theorem tells you the sum of interior angles of a triangle is 180°. To find the angles that could be those of a triangle, check to see if their sum is 180°.
a) 60 +45 +70 = 175 ≠ 180
b) 30 +85 +25 = 140 ≠ 180
c) 55 +90 +35 = 180 . . . . . . . could form a triangle
d) 110 +15 +45 = 170 ≠ 180
The angle measures 55°, 90°, and 35° could be the interior angles of a triangle.
The sum of three consecutive even integers is 50 more than the third integer.find the integers
Answer: 24, 26, 28
Step-by-step explanation:
a=even integer one.
b=even integer two.
c=even integer three.
a=b-2
b=c-2
a=c-2-2
a=c-4
a+b+c=50+c
c-4+c-2+c=50+c
c+c+c-4-2=50+c
3c-6=c+50
2c-6=50
2c=56
c=28
b=c-2
b=28-2
b=26
a=26-2
a=24
24, 26, 28
Evaluate the function
f(x) = -2x^2 - 4x + 13
Find f(-7)
Answer:
g(-7) = 57
Step-by-step explanation:
note: the editor will not let me use eff of x. I have to use g(x)
Equation
g(x) = -2x^2 -4x + 13
Comment
y is the same thing as g(x) so you are really being asked to find y,
Given
x = - 7
g(-7) means that x is -7
Solution
g(x) = -2(-7)^2 - 4(-7) + 13 Substitute x = - 7 on the right
g(x) = -2*49 + 28 + 13 Combine
g(x) = -98 + 28 + 13
g(-7) = -57
suppos there is a 1.2f drop in temperature for every thousand feet that an airplane climbs into the sky. if the temperature on the ground is 53.8f what will be the temperature when the plane reaches an altitude of 8,000ft?
The temperature will be 44.2f when the plane reaches an altitude of 8,000ft.
What exactly are mathematical operations?A function in mathematics that converts zero or even more input values (also known as "operands" or "arguments") to a well-defined output value is known as an operation.The number of operands determines the operation's arity.The most commonly studied operations are binary activities (i.e., operations of arity 2), such as addition and multiplication, and unary operations (i.e., operations of arity 1), such as additive direct opposite and multiplicative inverse.A constant is a zero-arity operation, also known as a nullary operation.An arity 3 operation, also recognized as a ternary operation, is the mixed product.So, there is a 1.2f drop in temperature for every thousand feet.
The plane is at 8000 ft then:
8000/1000 = 8So,
1.2 × 8 = 9.6The temperature at 8000 ft:
53.8 - 9.6 = 44.2Therefore, the temperature will be 44.2f when the plane reaches an altitude of 8,000 ft.
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Find the equation of the tangent line to the graph of the given function at the point with the indicated x-coordinate.
f(x) = 6x²; x = 0
y=
The equation of the tangent line to the graph is equal to y = 0.
What is the equation of the tangent line of a curve at a given location?
A line is tangent to a function if and only if the function meets the curve only in one point. The slope of the tangent line can be found by using the first derivative of the curve and the y-intercept is determined from the slope-intercept form of the equation of the line. First, determine the slope of the tangent line:
f'(x) = 12 · x
f'(0) = 12 · 0
f'(0) = 0
Second, find the intercept of the equation of the line:
y = 6 · 0²
y = 0
b = y - m · x
b = 0 - 0 · 0
b = 0
Then, the equation of the tangent line to the graph is equal to y = 0.
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1Carla participates in competitive archery. Each competition allows a
maximum of 90 points. Carla's results for the last 8 competitions are (76, 78, 81, 75,
80, 80, 76, 77). Find and interpret the standard deviation of the data.
Answer:
76
Step-by-step explanation:
76 occurs multiple times in the set, thus deviating from it.
Coordinates will be fine PLs ASAP cause I need this rn
13 POINTS!!!
If the vertices of the triangle are J(-3,-5), K(-2,2) and L(1,-4) then its reflection in y axis are J(3,-5), K(2,2) and L(-1,-4)
Given,
The vertices of the triangle = J(-3,-5), K(-2,2) and L(1,-4)
We know,
In reflection in y axis (x,y) will become (-x,y)
Then the vertices of the reflection in y axis = J(3,-5), K(2,2) and L(-1,-4)
Draw the triangle using the vertices.
Hence, if the vertices of the triangle are J(-3,-5), K(-2,2) and L(1,-4) then its reflection in y axis are J(3,-5), K(2,2) and L(-1,-4)
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Suppose that you have 10 green cards and 5 yellow cards. The cards were well shuffled . You randomly draw two cards WITH REPLACEMENT (you draw, put the card back and draw again). Round your answers decimal
G1=The first card drawn is green
G2=the second card drawn is green
A. P(G1 and G2)=
B. P (at least one green=
C. P(G2) (G1)=
D. Are G1 and G2 independent
They are independent events or dependent event
The probability of P(G1 and G2) will be 1/5.
The probability of at least one green will be 3/10.
The probability for P(G2) (G1) will be 1/100.
They're dependent event
How to calculate the probability?G1= The first card drawn is green
G2= the second card drawn is green
The probability of P(G1 and G2) will be:
= 1/10 + 1/10
= 1/5.
The probability of at least one green will be:
= 1/10 + 1/5
= 3/10
The probability for P(G2) (G1) will be:
= 1/10 × 1/10
= 1/100
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For the following two numbers, find two factors of the first number such that their product is the first number and their sum is the second number.
63,16
list the factors of 12
Answer:
2·2·3 or {1, 2, 3, 4, 6, 12} depending on what you mean
Step-by-step explanation:
You want the factors of 12.
Prime factorsThe prime factors of 12 are ...
12 = 2·2·3 = 2²·3
DivisorsThe product of exponents of the prime factors, each increased by 1, is the number of divisors of 12:
(2+1)(1+1) = 3·2 = 6 . . . . number of divisors of 12.
Those are ...
1, 2, 3, 4, 6, 12
__
Additional comment
The word "factors" is often used when "divisors" is intended. An expression is factored when it is expressed as a product of prime factors.
WILL MARK BRAINIEST ANG GIVE POUNTS!! Pls solve the check mark problems (105,107,103)
Answer: 103. h<=2 or h>=12
105. No solution
107. -6<x<1
Step-by-step explanation:
103. |h-7|>=5
h-7>=5
h>=12
h-7<=-5
h<=2
h<=2 or h>=12
105. |2x-8|<-10 ==> No solution since absolute value functions are always positive.
107. |10+4x|<14
10+4x<14
4x<4
x<1
10+4x>-14
4x>-24
x>-6
-6<x<1
Nose como se hace esto
Answer: 8, 13, 6, 12, 4, 13, 5, 13, 11, 19, 12, 17, 9, 16, 10, 13, 7, 14, 11, 20, 10, 18, 9, 16, 7, 15.
Step-by-step explanation:
¡Aquí tienes!
¡Espero que esto te ayude!
please help!!!
use the diagram to determine x
Answer:i think its like 40 or sum like that mb-
Step-by-step explanation:
If the demand function for a commodity is given by the equation p2 + 16q = 1200 and the supply function is given by the equation 300 − p2 + 10q = 0, find the equilibrium quantity and equilibrium price. (Round your answers to two decimal places.)
The equilibrium quantity and equilibrium price are 34.62 and 25.42 respectively
How to find the equilibrium quantity and equilibrium price?The functions are given as
Demand: p^2 + 16q= 1200
Supply function: 300 - p^2 + 10q
Rewrite the demand function as
p^2 + 16q - 1200 = 0
At equilibrium, demand = supply
So, we have:
p^2 + 16q - 1200 = 300 - p^2 + 10q
Using a graphing calculator, we have:
p = 25.42 and q = 34.62
Hence, the equilibrium quantity and equilibrium price are 34.62 and 25.42 respectively
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A truck driver is driving from Nome, Alaska to Death Valley, California. Because he is traveling between locations with extreme temperatures, he needs to check the weather continuously to make sure the gas in his truck remains in liquid form. The gas he uses freezes at −40° F and evaporates at 140° F.
Part A: Write an inequality to represent the temperatures at which the gas in the truck will remain in liquid form. (2 points)
Part B:Describe the graph of the inequality completely from Part A. Use terms such as open/closed circles and shading directions. Explain what the solutions to the inequality represent. (4 points)
Part C: In January 1989, the temperature in Nome, Alaska dropped to −49° F. Would the gas in the driver's truck have remained in liquid form so he could have driven on this day? Why or why not?
The inequality that represents the temperatures at which the gas in the truck will remain in liquid form is; -40°F < x < 140°F
How to solve Inequality Word Problems?
A) x is the temperature, and the temperature can't go down to -40°F and so x is greater than -40°F so that the gas doesn't freeze. Finally, x can't go higher than 140°F because the gas will evaporate. Thus, the inequality that represents the temperatures at which the gas in the truck will remain in liquid form is;
-40°F < x < 140°F
B) Open interval of the graph would mean that the interval is from -40°F to < 140°F. However, not equal to means that the gas in the truck can't stay liquid and as such means the coordinate is (-40°F, 140°F)
C) The gas will freeze because it has been said in the question the gas freezes at -40°F and as such if it goes -49°F, then it will freeze because the gas is supposed to stay higher than -40°F.
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what’s the distance between (2,8) and (-6,-2)
Answer:
Root
Step-by-step explanation:
Answer:
The distance between (2,8) and (-6,-2)
is √100+64
Step-by-step explanation:
i have no idea how to do this
An intermediate algebra student drives a car at 45 miles per hour. Let d be the distance (in miles) that the student travels in 1 hours.
a. Is there a linear relationship between t and d? Explain. If the relationship is linear, find the slope and describe what it means in this situation.
b. Find an equation of the model
There is no linear relationship between t and d.
What do we mean by linear relationship?A linear relationship (or linear association) is a statistical term that describes a two-variable relationship that follows a straight line. Linear relationships can be represented graphically or mathematically as the equation y = mx + b. In everyday life, linear relationships are fairly common.So, the student drives a car at 45 miles per hour, so travels 45 miles in an hour.
Since the linear relationship equation is in the form y = mx + b but the t and d are just the same.So, there is no linear relationship between t and d.Therefore, there is no linear relationship between t and d.
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If universal set U = { 1, 2, 3.......10 } A = {factor of 6} B = {factor of 8} and C= {factor of 9} then show (A intersection B intersection C (colon ) in Venn diagram by Shading
hope it help ya..
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if 3 of a dozen eggs are broken, what part of the dozen is broken? unbroken?
Answer:
1/4 of the dozen is broken
Step-by-step explanation:
Timothy deposited $2,780.20 in a savings account that earns 4.3% simple interest. What will Timothy's account balance be in 7 months?
Total balance in the account after 7 months is 2849.737$
It is given that Timothy deposits $2780.20 in a savings account
It is given that rate of interest is 4.3 % and it of the simple interest nature.
We are required to find the account balance of Timothy's account in 7 months
We know that formula of simple interest is given by
(principal x rate x time)/100
where principal is the amount put for investing
rate is the rate at which the person is going to earn
time is the time for which the amount is to be invested
Now the time that is given to us in the form of months and hence we must convert it into years form
1 year =12 months
therefore, 7 months = 7/12 years
Now applying this value to calculate the simple interest earned
Let the simple interest be 'SI'
principal = $2780.20
rate = 4.3%
time = 7/12 years
SI= (2780.20x 4.3 x 7)/100 x 12
= 69.737$
The balance in Timothy's account will be original amount + the simple interest
Total balance after 7 months = 2780.20+69.737
=2849.937$
Hence total balance in the account after 7 months is 2849.737$
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please help
maths midpoint theorem
Step-by-step explanation:
10.
the various sides and line segments have been marked as equal already.
so, SSS proves that both triangles are congruent.
but to reprove things with the midpoint theorem :
remember
the line segment in a triangle connecting the midpoints of two sides of the triangle is said to be parallel to its third side and is also half of the length of the third side.
so,
D, F are the midpoints of BA and BC.
so, AC is parallel to DF and twice as long as DF.
D, E are the midpoints of BA and AC.
so, BC is parallel to DE and twice as long as DE.
E, F are the midpoints of AC and BC.
so, BA is parallel to EF and twice as long as EF.
so, DF = AE = EC
DE = BF = FC
EF = BD = DA
so, the EF of DEF corresponds to DA of ADE.
DF corresponds to AE.
and DE is shared between both triangles.
so, again, all 3 sides correspond 1:1 to sides in the other triangle. and SSS proves they are congruent.
11.
equilateral means all 3 sides are equal :
PS = PT = ST
TSR can only be isoceles (both legs are equal) when
ST = SR
because PM = MQ, M is the midpoint of PQ.
and because of MS || QR, S is the midpoint of PR.
that means PS = SR.
and because PS = ST, ST = SR
therefore, TSR is isoceles.
a carpenter has 6 boards that are each 7/8 yard long. how many 3/4 yard sections of board can he construct
The number of sections of board that he can construct will be equal to 7.
We are given that:
A carpenter has 6 boards.
Length of each board = 7 / 8 yard long
Now, we will use multiplication.
Total length of cardboards available = 7 / 8 × 6 yards
Total length = 42 / 8 yards
Total length = 21 / 4 yards.
Now, 3/4 yard sections of board that he can construct will be:
Number of sections of board = 21 / 4 ÷ 3 / 4
Number of sections of board = 21 / 3
Number of sections of board = 7
Therefore, the number of sections of board that he can construct will be equal to 7.
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Is 17.305 greater or less than 17.066
Answer: greater than
Step-by-step explanation:17.305[tex]\geq[/tex]17.066
Answer:
Yes
Step-by-step explanation:
Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day :)
Points L, M, and N are collinear. You are given LM = 21 and LN = 35.
What is a possible value of MN ?
The value of MN is 14 when the Points L, M, and N are collinear.
As per the question statement, we are supposed to find the possible value of MN when the Points L, M, and N are collinear.
Also, LM=21 and LN=35
As LN is greater than LM, point M has to be in between L and N for practicality and question existence.
[tex]LM+MN=LN\\MN=LN-LM\\LN=35\\LM=21\\MN=35-21\\MN=14[/tex]
Hence final answer is MN = 14
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The ratio of students with blond
hair to students with brown or
black hair is 1:2. If there are
212 students with brown or black
hair, how many students have
blond hair?
Answer: 106 students
Step-by-step explanation:
In a 1:2 ratio, we can see that there are 2x the amount of students with brown/black hair compared to students with blonde hair.
So taking 212 students, we can divide the number by half to get 106 students.
[tex]\frac{212}{2} = 106[/tex]
Write 44.259 in word form
Answer:
Forty-four and two-hundred fifty-nine thousandths.
Brian opens a new savings account, with an interest rate of 3.5% compounded annually. If his
initial deposit is GBP 3000, how many years will it take for his money to grow to GBP 9000?
If initial deposit is GBP 3000 and the rate is 3.5%,then after 32 years it will reach to GBP 9000.
Given that the initial deposit is GBP 3000 and the rate is 3.5%.
We are required to find the number of years after which the amount will reach to GBP 9000.
Compound interest is basically the addition of interest to the principal sum of a loan or deposit, or in other words, interest on principal plus interest.
Amount after compounding=P[tex](1+r)^{n}[/tex], where P is principal ,r is rate of interest and n is number of years.
The number of years can be calculated as under:
9000=3000[tex](1+0.035)^{n}[/tex]
3=[tex](1.035)^{n}[/tex]
[tex](1.035)^{32}[/tex]=[tex](1.035)^{n}[/tex]
By comparing both sides,we will get n=32.
Hence if initial deposit is GBP 3000 and the rate is 3.5%,then after 32 years it will reach to GBP 9000.
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If log y = 7, which is equal to y?
The value of the logarithm log y = 7 for y will be e⁷.
We are given the logarithm problem as:
log y = 7
We need to solve this to find the value of y.
We will use the properties of logarithm for this.
So, we get that
⇒ e ^ log y = e ⁷
Solving it, we will get that:
⇒ y = e⁷
So the value of the logarithm log y = 7 for y will be e⁷.
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❗❗100 POINTS FOR CORRECT ANSWER AND EXPLANATION❗❗~math question~
thanks)
Answer:
k = 110
Step-by-step explanation:
You want the integer multiple of pi that is the area of 300° of a donut with inner radius 8 cm and outer radius of 14 cm.
Area of a circleThe area of a circle is given by the formula ...
A = πr²
Then the area of the outer circle is ...
A = π(14 cm)² = 196π cm²
The area of the inner circle is ...
A = π(8 cm)² = 64π cm²
Donut areaThe area of the whole donut is the difference of these areas:
whole donut area = (196 -64)π cm² = 132π cm²
Shaded areaThe shaded area of the figure represents 300° of the 360° full donut. The area is proportional to the central angle, so the shaded area is ...
shaded area = (300°/360°)×whole donut area
shaded area = 5/6 × 132π cm² = 110π cm²
Comparing this to the expression kπ cm², we see that ...
k = 110
(-4/9) divided by (5/8) = (-4/9) x ?
A. 9/4
B. -8/5
C. 8/5
D. -9/4
Answer:
-4/9 * 8/5 = (- 4/9) x
-32/45= - 4x /9
-288 = 180x
-8/5