9514 1404 393
Answer:
56°
Step-by-step explanation:
Cofunctions of complementary angles have the same value.
cos(34°) = sin(90°-34°) = sin(56°)
A man borrowed $3500 from a bank for 6 months. The bank collected 7-1/2% simple interest on the date of maturity. How much did the man pay for use of the money and what was the amount he repaid the bank on the due date of the note
Answer:
$3762.50
Step-by-step explanation:
From the problem, we can see our initial loan is 3500. On the return date, the interest of the loan is collected 7.5%. To find out how much the man paid for the loan, we need to find out how much he paid in interest, which is the percentage of the interest converted to a decimal x the initial loan. We get $262.5, and then we need to pay back the interest plus the initial loan we borrowed from the bank, so we need to add those together to get:
$3762.50
Ali’s paycheck totaled $306.25. If he was paid $12.50 per hour, how many total hours did he work?
Answer:
24.5 hours
Step-by-step explanation:
To figure out thsi problem, divide 306.25 by 12.50. You will get 24.5. Ali's paycheck indicates that he worked 24 and a half hours.
Your grandfather tells you that he has four coins in his pocket. He has no pennies, and no coin is worth more than a quarter. Calculate all the possible amounts. If Grandpa offers to give you the coins if you are able to guess the amount within ten cents, what is your guess ? Include all combinations in your answer, but include each combination only once be sure to indicate what your guess is.
Answer:
20 cents
Step-by-step explanation:
Possible coins in grandfather's pocket include : nickel, dime, quarter
A nickel = 5 cents
A dime = 10 cents
A quarter = 25 cents
First combination= nickel+dime+quarter+quarter
Second combination=nickel+quarter+quarter+quarter=
Third combination= dime+quarter+quarter+quarter
Third combination=quarter+quarter+quarter+quarter
4th combination = nickel + nickel+dime+quarter
5th combination= nickel +nickel+nickel+dime
6th combination =nickel+nickel+nickel+quarter
7th combination= nickel + nickel + nickel +nickel
8th combination = dime + dime +quarter +nickel
9th combination = dime +dime+dime+quarter
10th combination =dime+dime+dime+nickel
11th combination=dime+dime+dime+dime
If Grandpa offers to give you the coins if you are able to guess the amount within ten cents, then all coins are below ten cents and all coins are nickels = 4 nickels ×5 = 20 cents
Fido and Jet are two medium size dogs. Fido weighs exactly 15 pounds less than Jet. Together, they weigh exactly 89 pounds.
Answer:
jet weighs 74 pound
Step-by-step explanation:
This 3rd and 2nd grade lvl paper
Answer:
This is the
Step-by-step explanation:
This is te changes of the eart
Across
2: Transpiration
3: Atmosphere
5: Potential
6: Precipitation
7: Condensation
Down
1: Evaporation
4: Condensation
Which solution set makes the inequality 7 > * TRUE?
Answer:
B
Step-by-step explanation:
7 > x means what numbers are less than 7
A and C are not correct because 7 = 7 is not less than 7
B is correct because 7 > -2, and 7 > 0
D is not correct because 8, 10, 20 are more than 7
What is the standard algorithm
Students running a food drive have collected their goal amount of canned goods. Over the weekend, volunteers collect an additional 18% of the goal. Write an expression to represent the total percentage of their goal collected in two different ways.
Answer:
[tex]Expression = x + 18x\%[/tex]
[tex]Expression = 1.18x[/tex]
Step-by-step explanation:
Given
Represent their goal with x
Additional = 18%
Required
Write two expressions to describe the total percentage
The expression is derived using:
[tex]Expression = Goal + Additional[/tex]
This gives:
[tex]Expression = x + 18\% * x[/tex]
[tex]Expression = x + 18x\%[/tex]
Solving further (Express percentage as decimal)
[tex]Expression = x + 0.18x[/tex]
[tex]Expression = 1.18x[/tex]
An ant walk around a piece of a leaf that is in the shape of a right triangle. What is the total distance the ant traveled?
Exercise 1.6.3: Translating mathematical statements in English into logical expressions. info About Consider the following statements in English. Write a logical expression with the same meaning. The domain is the set of all real numbers. (a) There is a number whose cube is equal to 2. (b) The square of every number is at least 0. (c) There is a number that is equal to its square. (d) Every number is less than or equal to its square..
Answer:
a) Эx ∈ R ⊇ x³ = 2
b) ∀x ∈ R, x² ≥ 0
c) Эx ∈ R ⊇ x³ = x
d) ∀x ∈ R, x ≤ x²
Step-by-step explanation:
Given the data in the question;
let us first go through some symbols and their possible meanings;
Э ⇒ there exists
∀ ⇒ for all
∈ ⇒ belongs to or set membership or element of the set
⊇ ⇒ such that
now;
a) There is a number whose cube is equal to 2
let x represent the number; so
Эx ∈ R ⊇ x³ = 2
b) The square of every number is at least 0
x² ≥ 0, ∀x ∈ R
∀x ∈ R, x² ≥ 0
c) There is a number that is equal to its square
Эx ∈ R ⊇ x³ = x
d) Every number is less than or equal to its square.
x ≤ x², ∀x ∈ R
∀x ∈ R, x ≤ x²
Find the measure of angle ACB
Answer:
ACB = 87 degrees
How many times does 3 4 go into 6 ?
Answer:
8
Step-by-step explanation:
Answer:
8 is the correct answer.
What is the slope of a line with the cords (-3,2) (-1,-1)
Answer:
X2 = 1.0792
Y2 = 2.0594
ΔX = 4.0792
ΔY = 3.0594
θ = 36.869897645844°
Equation of the line:
y = 0.75x + 1.25
When x=0, y = 1.25
When y=0, x = -1.6666666666667
OR
X2 = -7.0792
Y2 = -4.0594
ΔX = -4.0792
ΔY = -3.0594
θ = 216.86989764584°
Equation of the line:
y = 0.75x + 1.25
When x=0, y = 1.25
When y=0, x = -1.6666666666667
3. Without doing any calculations, compare Expression A to Expression B.
A. (34+25)=14
B. 34+25
Which statement is true?
CA. Expression A is 2 times as great as expression B.
B.Expression B is 4 times as great as expression A. -Yes
CC.Expression A is 4 times as great as expression B.
D. The two expressions are equal to each othe
7 long roms of plants
I really need help with this question
Answer:
19
Step-by-step explanation:
Help Please I can’t figure out this question!!!
Answer:
i think the top is 4 and the bottom is 6
Step-by-step explanation:
a garden contains 135 flowers, each of which is either red or yellow. there are 3 beds of yellow flowers and 3 beds of red flowers. there are 30 yellow flowers in each yellow flower bed.
Part A: if r represents the number of flowers in each red flower bed, what equation could you use to represent the number of red and yellow flowers.
Answer:
135 = 3y + 3r
y = 30; r = 15
Step-by-step explanation:
y = 3y + 3r
Where,
y = total number of flowers in the garden = 135
y = number of flowers in each yellow flower bed = 30
r = number of flowers in each red flower bed
135 = 3(30) + 3r
135 = 90 + 3r
135 - 90 = 3r
45 = 3r
r = 45/3
r = 15 flowers
number of flowers in each red flower bed = 15
Each day that a library book is kept past its due date, a $0.30 fee is charged at midnight. Which ordered pair is a
viable solution if x represents the number of days that a library book is late and y represents the total fee?
O (-3,-0.90)
O(-2.5, -0.75)
O(4.5, 1.35)
O (8, 2.40)
I need the answer mate
Answer:
d
Step-by-step explanation:
The only viable solutions for the given condition are (4.5, 1.35) and (8, 2.40).
What is expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.
Since the fee is charged at a rate of $0.30 per day, if a book is x days late, the total fee charged would be y = 0.30x.
We can check each ordered pair given to see if it satisfies this equation:
For (-3,-0.90), y = 0.30x = 0.30(-3) = -0.90.
This satisfies the equation, but the fee cannot be negative, so this is not a viable solution.
For (-2.5, -0.75), y = 0.30x = 0.30(-2.5) = -0.75.
Again, this satisfies the equation but the fee cannot be negative, so this is also not a viable solution.
For (4.5, 1.35), y = 0.30x = 0.30(4.5) = 1.35.
This satisfies the equation and the fee is positive, so this is a viable solution.
For (8, 2.40), y = 0.30x = 0.30(8) = 2.40.
This satisfies the equation and the fee is positive, so this is also a viable solution.
Therefore, the viable solutions are (4.5, 1.35) and (8, 2.40).
Learn more about expression here:
https://brainly.com/question/14083225
#SPJ7
How do you get from 4 to 4/3
Answer:
- 8/3
Step-by-step explanation:
Simply subtract 4 from 4/3
4/3 - 4 = 4/3-12/3=-8/3
Lets check of our answer is correct:
4 - 8/3 = 12/3 - 8/3 = 4/3. So our answer is correct.
Ray starts walking to school at a rate of 2 mi/h. Ten minutes later, his
sister runs after him with his lunch, averaging 6 mi/h.b. Solve the system
to determine how much time it took Ray's sister to catch up to him.
Your answer
Answer:
Ray walks 15 minutes prior to his sister and walk for 5 minutes to catches up
Step-by-step explanation:
The computation of the time taken is as follows:
Let us assume the Ray time be t
So his sister time would be t - 10
Since Ray distance is 2t
So his sister distance is 6(t - 10) = 6t - 60
As the distance is the same
So, the following equation must be made
2t = 6t - 60
-4t = -60
t = 15
Therefore Ray walks 15 minutes prior to his sister and walk for 5 minutes to catches up
Box of rice contains 8 1/3 cups of rice. how many 1/3- cup servings of rice are in the box
help me i need help help me help me
Lesson 3.4 different forms of liner
Equation
How do you solve it?
Y=2+3(×-1)
Kelly has 7 days to read 60 pages of a book for school. She plans to read 8 pages a night for 6 nights.What percent of the assigned pages will she have left to read on the last night?
Answer:
20 percent left
Step-by-step explanation:
Answer:
20%
Step-by-step explanation:
Which is the graph of y=3/4 x -3?
Answer:
graph A.
Step-by-step explanation:
Answer pls quick I don’t have enough time
hey there ..
plz show the graph also ..
Find 110.9% of 419.Round to the nearest hundredth.
Answer:
400
Step-by-step explanation:
When you are rounding to the nearest hundred you
You round the number up to the nearest hundred if the last two digits in the number are 50 or above.
Then, round the number down to the nearest hundred if the last two digits in the number are 49 or below and if the last two digits are 00, then you don't have to do any rounding, because it is already to the hundred.
Which expressions are solutions to the equation 3/4x=15
Answer:
3/4x=15 you flip 3/4 to 4/3 and cancel it out on one side leaving x by itself then you multiply 4/3 by 15 and you get 60/3 and that equals 20 x=20
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
3/4x=15 you flip 3/4 to 4/3 and cancel it out on one side leaving x by itself then you multiply 4/3 by 15 and you get 60/3 and that equals 20 x=20
b) Calculate the area of the trapezium
5.2cm
Not drawn accurately
6cm
4.5cm
10.8cm
Step-by-step explanation:
[tex] \underline{ \underline{ \text{Given}}} : [/tex]
Height ( h ) = 4.5 cmBase 1 ( b ) = 5.2 cmBase 2 ( b ) = 10.8 cm[tex] \underline{ \underline{ \text{To \: find}}} : [/tex]
Area of the given trapezium[tex] \underline{ \underline{ \text{Solution}}} : [/tex]
[tex] \boxed{ \sf{Area \: of \: a \: trapezium = \frac{1}{2} h \: (b_{1} + b_{2})}}[/tex]
Plug the known values and then simplify !
⟶ [tex] \sf{ \frac{1}{2} \times 4.5 \times (5.2 + 10.8)}[/tex]
⟶ [tex] \tt{ \frac{1}{2} \times 4.5 \times 16}[/tex]
⟶ [tex] \tt{36 \: {cm}^{2} }[/tex]
[tex] \red{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \underline{ \bold{ \tt{36 \: {cm}^{2} }}}}}}}}[/tex]
Hope I helped ! ツ
Have a wonderful day / night ! ♡
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solve the equation
PLZ I need a good grade
answer:
p = 6
1. pull out like factors
7p - 42 = 7 • (p - 6)
2. solve it
7=0
this equation can't be solved, therefore has no solution.