Answer:
A: 19.7º B: 78.8º C: 81.5º
Step-by-step explanation:
The trouble with problems like this is usually just getting started.
Hint: look at the descriptions of the angle measures and see if one of the angles is mentioned twice. It's angle A. Pick a variable for the measure of that angle, say a.
Angle B: "4 times the measure of angle A" becomes 4a
Angle C: "17 less than 5 times the measure of angle A" becomes 5a - 17
Now use the fact that relates all three angles: the sum of the measures of any triangle's angles is 180 degrees.
a + 4a + (5a - 17) = 180
Combine like terms.
10a - 17 = 180
Add 17.
10a = 197
Divide by 10.
a = 19.7 degrees
Try not to panic because the answer is not a whole number!
Plug this into the expressions for the other angles.
B: 4(19.7) = 78.8 degrees
C: 5(19.7) - 17 = 81.5 degrees
Check: 19.7 + 78.8 + 81.5 = 180
11. Chad was driving at a constant speed. he drove 196 miles in 3.5 hours.
A. What was her speed in miles per hour?
Write an equation to show the relationship between t (time) and
d (distance traveled)
HINT: Distance = time x speed)
c. If she continues to drive at the same speed, how many miles can she go in 75 hours
d. After 7.5 hours, she decides to decrease her speed to 3/4 of her earlier speed. What is her
new speed?
Answer:
a - 56mi/h
b - confuzzled so heres the rearranged formulas?
speed = distance/time
time = distance/speed
distance = speed x time
c - 4200 miles
d - 42mi/h
Step-by-step explanation:
s=d/t
196/3.5=56
56x75=4200
1/4 of 56
56/4= 14
14x3=42
What is the simplified algebraic expression for x-(x+7)
Maria has 2 dollars, 3 dimes, and 4 pennies. Lisa has 1 dollar and 5 quarters. How much money do the
two girls have in all?
Answer:
The total will be 4.59. Since we have 2 dollars and then we have 3 dimes which a dime is equal to 10 cents, it is now 2 dollars and 30 cents. Now we have the 4 pennies, which a penny is 1 cent. So we have 2 dollars and 34 cents. Now we have a dollar and 5 quarters. A quarter is equal to 25 cents. So 4 quarters is equal to 1 dollar. So it will be 2 dollars and 25 cents for the other quarter that we have. Now we add 2.34 and 2.25 which we get 4.59 dollars(i tried my best ok).
Quick equation:2d+3(10)+4(1)=$2.34
2d+5(25)=$2.25
Use a conversion factor to solve.
1,000 mg
1g
mg
3.75 grams
Answer:
266.7
Step-by-step explanation:
On the grid, A(-3,1), B(1,-2), and C(4,2) are connected. Kaire claims triangle ABC is a right isosceles triangle.
Answer:
Yes its an isosceles triangle but not a right angle triangle.part A:
[tex]\sf AB^2 = (-2-1)^2 + (1+3)^2[/tex]
[tex]\sf AB^2 =25[/tex]
[tex]\sf AB =5[/tex]
[tex]\sf AC^2 = (2-1)^2 + (4+3)^2[/tex]
[tex]\sf AC^2 = 50[/tex]
[tex]\sf AC = 5\sqrt{2}[/tex]
[tex]\sf BC^2 = (2--2)^2 + (4-1)^2[/tex]
[tex]\sf BC^2 = 25[/tex]
[tex]\sf BC = 5[/tex]
Two sides are equal in the triangle of 5. Its an isosceles triangle.
part B:
if right angle triangle, then use the formula:
short side² + short side² = long side²
( 5√2 )² + 5² = ( 5√2 )²
75 = 50
Therefore, its not a right angle triangle.
write an algebraic expression to answer each question do this on a sheet of paper
let z be father's age now
A.What will be his age after 10 years?
B.What was his age 2 years ago?
C.What was his age 7 years ago
Hello.
In 10 years, his age will be
[tex]\mathrm{z+10}[/tex]
The sum of his current age and 10 equals his age in 10 years.
2 years ago his age was
[tex]\mathrm{z-2}[/tex]
The difference of his current age and 2 equals his age 2 years ago.
7 years ago his age was
[tex]\mathrm{z-7}[/tex]
The difference of his current age and 7 equals his age 7 years ago.
Therefore, his age after 10 years will be [tex]\mathrm{z+10}[/tex], his age 2 years ago was [tex]\mathrm{z-2}[/tex], and his age 7 years ago was [tex]\mathrm{z-7}[/tex]
I hope it helps.
Have a nice day.
[tex]\boxed{imperturbability}[/tex]
Answer:
z+10
z-2
z-7
Step-by-step explanation:
hope it helps
how do I solve this, pretty urgent please.
Answer:
1Step-by-step explanation:
Substitute:
[tex]x^{0.5} = y[/tex]Then the expression becomes:
[tex](\dfrac{1+y^3}{1-y+y^2}-y) \dfrac{1-y^2}{1-y} -y=\\[/tex][tex](\dfrac{(1+y)(1-y+y^2)}{1-y+y^2}-y) \dfrac{(1-y)(1+y)}{1-y} -y=[/tex][tex](1+y-y)(1+y)-y=[/tex][tex]1(1+y)-y=[/tex][tex]1+y-y=[/tex]1The result is 1 regardless the value of x other than 1.
Solve the measurement conversion problem. 1 kg=1,000g
The ice cream shop was running low on sprinkles. The shop only had 200 grams of sprinkles . They ordered a 2.5-kilogram jar to restock. If they use 100 grams per week , how many weeks will it be until they run out of sprinkles ?
A) 270 weeks
B) 250 weeks
C) 27 weeks
D) 25 weeks
determine a series of transformations that would map polygon ABCD onto polygon A’B’C’D’?
HELP QUICK!!!!
flip over y-axis, move down 3 units, then dilate by a factor of 1/2 with respect to A.
Which of the following set ordered pairs represents a function? Select all that apply.
keeping in mind that a function set doesn't have any X-repeats, or namely the x-coordinate of every pair doesn't repeat, let's check these sets.
Check the picture below.
Graph each of the functions to determine whether it passes the vertical line test.
Set #a is a function
Set #b is not a function
Set #c is a function
Set #d is a function
what is a function?A function is an equation with a single solution for y for each value of x. Each input of a particular type receives exactly one output when using a function.
given set of ordered pairs represents a function.
from the verticle line property of a function which states that It would be a function of all vertical lines intersecting it at minimum once. This is also called a vertical line test. A graph will be considered as a function if it has only one output y for each input x. Therefore, a vertical line cannot be a function.
In the given Sets Option b has two values at x = 1/2 hence it fails the verticle line test.
therefore, Option a, c, and d only satisfy the requirement of a function.
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A 6 miles
B 8 miles
C 4 miles
D 2 miles
Answer:
A 6 miles
Step-by-step explanation:
3m+6=24 3m=18 m=6 So mike traveled 6 miles by taxi
TRUE OR FALSE??
3 Parallel lines A and B ore cut
by transversal X as shown
below.
A.The value of x can be found using
12x – 18 = 8x + 10.
B. Each of the marked ongles measures 56.
C. The marked ongles are classified as vertical
angles.
REWRITE THE FALSE STATEMENT TO MAKE IT TRUE
pls help this hw is due today!!
Answer:
Step-by-step explanation:
A. True. Vertical angles have equal measure.
B. False. 12x-18=8x+10 -> x=7 -> the angles measure 66 degrees.
C. True. They're formed by a pair of intersecting lines.
Which of the following statements shows the distributive property?
A. 5(4-2) = 20 - 10
B. 5+ (4 - 2) = 20 - 10
C. 5(4-2) = 9 - 7
D. 5+(4 - 2) = 9+3
Convert 13 hours 33 minutes to hours
Answer:
13.55 hours
Step-by-step explanation:
60 minutes is an hour so we divide the number of minutes( 33) by 60.
33 ÷ 60 =0.55
13 + 0.55 = 13. 55 hours
What is the product of (-a + 3)(a + 4)?
Answer:
-a^2-a+12
Step-by-step explanation:
thats the product of (-a + 3)(a + 4)
Help me please I know it’s not C please help me out !!!!!
Answer:
b
Step-by-step explanation:
The following radical phrase should be non-negative.
x - 3 ≥ 0
which rectangle has side lenghths of 5 units and 4 units
Answer:
A(3,3), B(3,7), C(8,7), D(8,3)
Step-by-step explanation:
it was the correct answer hope this helps!!
Why is this system no solution?
2y = 7 x -3
y = -2
Step-by-step explanation:
solved using substitution method
Let U = {English, French, History, Math, Physics, Chemistry, Psychology, Drama}, A = {Math, History, Chemistry, English}, B = {Psychology, Drama, French, Chemistry, English}, and C = {Physics, History, French}. Find the following. n(B u C)
We are provided with ;
[tex]{\sf{U=\{English,\: French,\: History,\: Math,\: Physics,\: Chemistry,\: Psychology,\: Drama\}}}[/tex] [tex]{\sf{A=\{Math,\: History,\: Chemistry,\: English\}}}[/tex] [tex]{\sf{B=\{Psychology,\: Drama,\: French,\: Chemistry,\: English\}}}[/tex] [tex]{\sf{C=\{Physics,\: History,\: French\}}}[/tex]And we need no find [tex]{\bf n(B\cup C)}[/tex] . At first Let me tell you that here [tex]{\sf (B\cup C)}[/tex] represents the union of the set B and C.And [tex]{\sf n(B\cup C)}[/tex] represents the cardinal no. of the respective set or no. of elements present in the respective set.So let's find the set [tex]{\sf (B\cup C)}[/tex] first
[tex]{:\implies \quad \sf B\cup C=\{Physics,\: Drama,\: French,\: Chemistry,\: English,\: Psychology,\:History\}}[/tex]
[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{n(B\cup C)=7}}}[/tex]
Alternative Method :-As we know that ;
[tex]{\boxed{\bf n(A\cup B)=n(A)+n(B)-n(A\cap B)}}[/tex]Where [tex]{\sf (A\cap B)}[/tex] is the Intersection of A and B or the set of common elements of A and B. So now by same concept , now finding the intersection of B and C :-
[tex]{:\implies \quad \sf B\cap C=\{French\}}[/tex]
So , [tex]{\sf n(B\cap C)=1}[/tex] . Now , putting the values in the formula;
[tex]{:\implies \quad \sf n(B\cup C)=n(B)+n(C)-n(B\cap C)}[/tex]
[tex]{:\implies \quad \sf n(B\cup C)=5+3-1}[/tex]
[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{n(B\cup C)=7}}}[/tex]
Which loan will cost its holder the most in interest?
A. $10,000 at 2 percent interest compounded for four years
B. $10,000 at 2 percent simple interest for four years
C. $5,000 at 4 percent simple interest for four years
D. $5,000 at 4 percent interest compounded for four years
Answer:
D. $5,000 at 4 percent interest compounded for four years
Hope this helps :)
The loan that will cost its holder the most in interest is option D. $5,000 at 4 percent interest compounded for four years.
To calculate the interest for each option, with the use of the relevant interest formulas.
For option A, compounded interest, by the use of the formula:
[tex]CI =A -P\\CI=A = P(1 + r/n)^{nt} - P[/tex],
where:
A is the final amount,CI is the compound interest P is the principal, r is the interest rate, n is the number of times interest is compounded per year t is the number of years.Plugging in the values, gives:
[tex]C.I= 10,000(1 + 0.02/1)^{(1\times4)} - 10,000[/tex]
By adding the value in the bracket gives:
[tex]C.I= 10,000(1 .02)^{4} - 10,000[/tex]
To evaluate [tex](1.02)^4[/tex], raise 1.02 to the power of 4 gives:
[tex](1.02)^4 \approx 1.082432[/tex]
Substituting this value back into the expression:
[tex]CI\approx10,000 \times 1.082432- 10,000[/tex]
On multiplication gives:
[tex]CI\approx10824.32- 10,000[/tex]
On subtraction gives:
[tex]CI\approx 824.32[/tex]
2. For option B, simple interest, by the use of the formula
[tex]SI = Prt[/tex]
where:
SI is the simple interest, P is the principal,r is the interest rate t is the number of years.Plugging in the values, we get:
[tex]SI = 10,000\times( 0.02\times4)[/tex]
By multiplying the value in the bracket gives:
[tex]SI = 10,000\times 0.08[/tex]
On multiplication gives:
[tex]SI = 800[/tex]
For option C, simple interest formula
[tex]SI = Prt[/tex]
where:
SI is the simple interest, P is the principal,r is the interest rate t is the number of years.Plugging in the values, we get:
[tex]SI = 5,000\times( 0.04\times4)[/tex]
By multiplying the value in the bracket gives:
[tex]SI = 5,000\times 0.16[/tex]
On multiplication gives:
[tex]SI = 800[/tex]
For option D, compounded interest, we get:
A = 5,000(1 + 0.04/1)^(1*4) - 5,000 ≈ $6,181.73
For option D, compounded interest, by the use of the formula:
[tex]CI =A -P\\CI=A = P(1 + r/n)^{nt} - P[/tex],
where:
A is the final amount,CI is the compound interest P is the principal, r is the interest rate, n is the number of times interest is compounded per year t is the number of years.Plugging in the values, gives:
[tex]C.I= 5,000(1 + 0.04/1)^{(1\times4)} - 5,000[/tex]
By adding the value in the bracket gives:
[tex]C.I= 5,000(1 .04)^{4} - 5,000[/tex]
To evaluate [tex](1.04)^4[/tex], raise 1.04 to the power of 4 gives:
[tex](1.04)^4 \approx 1.1699[/tex]
Substituting this value back into the expression:
[tex]CI\approx5,000 \times 1.1699- 5,000[/tex]
On multiplication gives:
[tex]CI\approx5,849.2928- 5,000[/tex]
On subtraction gives:
[tex]CI\approx849.2928[/tex]
Comparing the final loan interest, option D has the highest value, indicating that it will cost its holder the most in interest.
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20. The sum of two consecutive odd numbers is 72. Find the numbers.
Answer:
35 and 37
35+37=72
Hope this helped.
Answer:
Step-by-step explanation:
either n=17
or The two odd numbers are 35 and 37
please hurry .The side of Mr. Miller’s barn has a length of 27 feet and an area of 656.1 square feet. How wide is the side of Mr. Miller’s barn?
Answer:
24.3
Step-by-step explanation:
area of a rectangle =length*width
if we know at least the 2 quantities already
total area = 656.1
and one of the sides = 27
we have to divide the are by one of the sides to get the remaining side
width = area/length
656.1 divided by 27 equals 24.3
Answer:
24.3 he was rii i got my answer frm here
Step-by-step explanation:
In an examination for the final year students of a school, 60 offered History, 50, Economics and 48, Literature. 30 offered History and Economics, 16 offered History and Literature, 22 offered Economics and Literature. If 10 candidates offered all the three subjects. (a) find:
(1) the number that offered History only;
(ii) the number that offered Economics only
Answer:
i (history only60
ii(economics only 50
The curve above is the graph of a sinusoidal function. It goes through the points (-9,-4) and (5,-4) Find a sinusoidal function that matches the given graph. I’d needed, you can enter pi=3.1416.... as pi in your answer, otherwise use at least 3 decimal digits.
Are 5n + 9 + n and 3(2n + 9) equal expressions use substitution to take your answer
Answer: They are not equal expressions
Since this asks to solve by substitution, I will substitute with the number 2:
5n + 9 + n
5(2) + 9 + (2)
10 + 9 + (2)
21
-
3(2n + 9)
3(2(2) + 9)
3(4 + 9)
3(4 + 9)
39
The answer is no, because 21 ≠ 39
Find the length of the side of a square with an area of 121 in
A. 484 in
B. 30.25 in
C. 11 in
D. 6.5 in
Answer:
C. 11
Step-by-step explanation:
Formulate
[tex]\sqrt{121}[/tex]
Calculate
[tex]121\frac{1}{2}[/tex]
Simplify using [tex]a^{\frac{n}{m} }=\sqrt[m]{a^{n} }[/tex]
[tex]\sqrt{121}[/tex]
Factor and rewrite the radicand in exponential form
[tex]\sqrt{11^{2} }[/tex]
Simplify the radical expression
[tex]11[/tex]
I hope this helps you
:)
1. Find any three rational numbers between 2 and 3.
Step-by-step explanation:
9/4, 10/4, 11/4 are three rational numbers between 2 and 3
Find the value of x in a circle 3x, 7x+10
Answer:
you collect the like terms then your answer should be10x=10 consult a tutor because he or she may know better than me
in a class of 40 students each student plays one indoor game such as ludu,card or oware. Ludu is played by 18, oware is played by 20, while card is played by 27, seven students play ludu and oware, twelve students play oware and card and four students play ludu, card and oware.
Determine how many students play.
(i) Ludu and card
(ii)Ludu and card but not oware.
Answer:
35 Learner's who plays ludu and cards
HbUhgghbjhgbijhnh(uhgbuygbuyg..
Answer:
5
Step-by-step explanation:
u gotta add the H's with The U's and then ye
