Answer:
6Step-by-step explanation:
Given the expression sin(9z − 1) = cos(6z + 1), for 0 < z ≤ 90, we are to find z
Note that sin theta = cos(90-thetsa)
sin(9z − 1) = cos(6z + 1)
cos (90 - (9z-1)) = cos(6z + 1)
cos (90 - 9z+1)) = cos(6z + 1)
cos (91-9z) = cos(6z + 1)
Cos will cancel out to have;
91-9z = 6z+1
-9z - 6z = 1-91
-15z = -90
z = 90/15
z = 6
Hence the value of z is 6
1. Theresa and Cary are saving for a printer. Theresa has $10 in the bank and will save $20
month. Cary has $25 in the bank and will save $15 each month.
A) How much does Theresa have at month #O?
B) How much Does Cary have at month #0?
C) Write an equation to represent Theresa's saving and an equation to represent Cary's
savings.
D) Graph both Theresa's and Cary's equations on the coordinate plan below.
Introduction to Solving Systems of Equations Theresa and Cary are saving for a printer. Theresa has $10 in the bank and will save $20 each month. Cary has $25 in the bank and will save $15 each month. 1. How much does Theresa have at month #0710 2. How much does Cary have at month #obA 3. Fill in the table for several months. Then graph the data. Use a different color for each girl's table values and graph. Label and scale the axes appropriately Theresa Ca Total Total Month # | Month # | savings in $ (x) savings in $ 0 0 2 2 5 6 6 S 7 4. Write an equation that represents Theresa's savings. yoxtl 5. Write is an equation that represents Cary's savings. tS Which girl is saving at a faster rate? Justify your answer by referring to the 6. table, the graphs, and the equations. 7. At which months does Theresa have more money? 8. At which months does Cary have more money? 9. At which month do they have the same amount of money? What do you notice about the graphs at this month? Introduction to Solving Systems of Equations con... Two friends, Malcolm and Zeke, are going to the park that is near their school. They leave at the same time from different locations. Malcolm is 30 meters from the school on his way to the park, and he is walking at the rate of 1 meter per second. Zeke is at school and will jog to the park at a rate of 4 meters
Factor the expression completely
6x^3+x
Answer:
x(6x^2+1)
Step-by-step explanation:
To factor an equation, we have to take out the greatest common factor of both terms. In this case, that term would be x. Then we can out x outside of the parantheses and your distributive property to rewrite this equation.
It says solve for the variable can you explain
Answer:b=39 degrees
Step-by-step explanation:
We know the whole angle is a 90 degree angle because of the right angle sign. So all we have to do is subtract 51 from 90, which is 39 degrees
I NEED HELP
Use the compound interest formula A=P(1+rn)nt.
If $10,000 is invested at 2 percent semi-annually for 5 years, what is the amount at the end of the term?
$11,052
$11,051
$11,049
$11,046
Answer:
A
Step-by-step explanation:
Answer:
D: 11,046
Step-by-step explanation: i took the quiz
A person who is standing on a ledge throws a rock into the air. The rock reaches a maximum height of 676 feet
above the ground after 1.5 seconds.
If the rock hits the ground below the ledge 8 seconds after it is thrown, which quadratic function can be used to find
the height of the rock above the ground t seconds after it is thrown?
A. H(t) = -9/16(t-8)^2+676
B. H(t)= -9/16(t+8)^2+676
C. H(t)= -16(t-1.5)^2+676
D. H(t)= -16(t+1.5)^2+676
Calculate the variance.
Answer:
112500000???
Step-by-step explanation:
Louis invested £2950 in a savings account for 5 years.
He was paid 1.9% per annum compound interest for each of the first 4 years.
He was then paid R% interest for the fifth year.
Louis had £3257 in his savings account at the end of the 5 years.
Work out the value of R.
Give your answer correct to 1 decimal place.
Answer:
2.4%
Step-by-step explanation:
The value of R is, 2.4%
What is Simple interest?A quick and easy method of calculating the interest charge on a loan is called a Simple interest.
Given that;
Louis invested £2950 in a savings account for 5 years.
He was paid 1.9% per annum compound interest for each of the first 4 years.
And, He was then paid R% interest for the fifth year.
Louis had £3257 in his savings account at the end of the 5 years.
Here, We know that;
⇒ Compound interest formula = Capital × (1 + r%) ⁿ
Where, n is time in years.
So, We can formulate;
⇒ £2950 × (1 + 0.019)⁴
⇒ £3180.67
And, For calculate R;
⇒ £3180.67 × (1 + R%)⁵ = £3257
⇒ R = 2.4%
Learn more about the simple interest visit;
https://brainly.com/question/2294792
#SPJ5
could someone please help and fast?
Answer:
x=192
Step-by-step explanation:
48(2)
180-96=84
84x2=168
360-168=192
x=192
Help please and show work
What is the distance in units,from point j to point k
Answer: 15.
Step-by-step explanation: You have to use the distance formula which is [tex]\sqrt{(x\\_{2} -x_{1})^{2} + (y_{2} - y_{1} )^{2}[/tex]. [tex]x_{1}[/tex] means the x in the first point, so on and so forth. You just plug in and don't forget to take the square root of the number you get!
Please tell me if its right. Thanks!
Product mentally 4 times 5 1/8
A group of friends were working on a student film that had a budget of $1300. They used $546 of their budget on props. What percentage of their total budget did they spend on props?
Answer:
42
Step-by-step explanation:
trust me i had the same answer and it was right
4x - 2 (x + 1) = 3x + 10
Answer:
The correct answer is x = -12.
♡ The Question ♡
4x - 2 (x + 1) = 3x + 10
* ୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*
♡ The Answer ♡
x = -12
*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*
♡ The Explanation/Step-By-Step ♡
4x - 2 (x + 1) = 3x + 10
2x - 2 = 3x + 10
2x - 2 + 2 = 3x + 10 + 2
2x - 3x = 3x + 12 - 3x
-x = 12
-x/-1 = 12/-1
x = -12
*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*
♡ Tips ♡
-No tips provided!
Xxx yyy -12−12minus, 12 141414 -2−2minus, 2 212121 888 282828 What is the xxx-intercept of the line?
Answer:
-12Step-by-step explanation:
Let the equation of the line be x = y - 12
The x intercept occurs at y = 0
Substitute y = 0 into the equation
x = 0 -12
x = -12
Hence the x intercept of the line is -12
Note that the equation was assumed. The same calculation can be employed for any equation given
Answer:
(-32,0) if ur looking for the coordinates:)
Step-by-step explanation:
After a 60% reduction, you purchase a new sofa drink machine on sale for $312.
What was the original price of the sofa drink machne?
Can anyone help me with this??
Answer:
find the cordinates of each letter or number then find witch is greater or less than when your answering it
Step-by-step explanation:
Find the mean absolute deviation for the data set.
Hits in a Round of Hacky Sack
5,18,18,5,6,12,5,
5,12,11,17,13,7,6,8
Answer:
try 6 because when u put them in order than u are by a 8 and a 7
Step-by-step explanation:
please tell me if i right
Is (5, 2) a solution to y = 4? Explain your reasoning.
Hopkins has a 1 meter wire using to make clocks. Each fourth meter is marked off and divided into 5 smaller equal lengths.
Complete question :
Mr. Hopkins has a 1 meter wire he is using to make clocks. Each fourth meter is marked off with 5 smaller equal lengths. If Mr. Hopkins bends the wire at ¾ meter, what fraction of the marks is that?
Answer:
15 th ; 15/20
Step-by-step explanation:
Length of wire = 1 m
Number of fourth length possible = 1 ÷ 1/4 = 1 * 4/1 = 4
Each fourth length divided into 5 equal sizes :
Hence. Total number of equal spaced division :
5 * 4 = 20
If wire is bent at 3/4 meter :
Fraction of the mark
3/ 4 of 20
3/4 * 20
(3 * 20) / 4
60 / 4
= 15th
= 15/ 20
I will give brainliest!!
Find the surface area for the given prism.
Height: 8 Inches
Length: 10 Inches
Width: 14 Inches
564 in ^2
664 in ^2
1,120 in ^2
1,080 in ^2
Find the lateral area for the given prism.
Height: 26 CM
Width: 6 CM
Length: 14 CM
1,092 cm ^2
998 cm ^2
1,272 cm ^2
870 cm ^2
Answer:
SA: 664 in²
LA: it’s supposed to be 1040cm???
Step-by-step explanation:
SA: find the area of all sides of the prism first (I suppose it’s rectangular?)
80+80+112+112+140+140 = 664
LA: the lateral area formula is (perimeter of base)*height...
perimeter of base = (6+6+14+14) = 40
40 * 26 = 1040
I may be wrong on the second one since I don’t know what the prism’s shape is... Hope it helps though ;)
Answer:
1,092
Step-by-step explanation:
The heights of 6 shrubs are 3. 4. 2.
8. 4. and 2 feet. Which value
represents an outlier?
A: 2. B:3. C:4. D:8
Answer:
I think its C.4
Step-by-step explanation:
9.
In the expression 7g + 12
a. 7 is the constant
b. c. 12 is the coefficient
C. g is the variable
d. if g = 4, the expression equals 30
Answer:
c. g is the variable
Step-by-step explanation:
Answer:
The only true answer is that g is the variable
C
The expressions given represent the measures of the acute angles of a right triangle Find the measure of each acute angle.
Answer:
30, 60
Step-by-step explanation:
The sum of a triangles angles should be 180.
Subtract 90 because it's a right triangle.
180 - 90 = 90
Now we know the sum of the other angles should be 90.
x + 2x = 90
Solve for x.
3x = 90
x = 30
Now you substitute 30 for x.
(30), 2(30)
30, 60
what is the cube root of 25
Answer:
15625
Your welcome. Have a great day :D
Answer:
2.9
Step-by-step explanation:
and yw i saw that u put thx in the comments
Sam runs a lemonade stand. One day he collected $6.55 in nickels and dimes. The number of nickels was 6 more than half the number of dimes. Find out how many dimes Sam collected.
Answer:
Total number of dimes collected = 50
Step-by-step explanation:
Let the number of dimes collected = d
And the number of nickels collected = n
On day collection in nickels and dimes = $6.55
Since, 1 nickel = $0.05
Therefore, 'n' nickels = 0.05n
And 1 dimes = $0.10
Value of 'd' dimes = $0.10d
Total value of 'n' nickels and 'd' dimes = $(0.05n + 0.10d)
So the equation for the total value will be,
0.05n + 0.10d = 6.55
5n + 10d = 655 --------(1)
Number of nickels was 6 more than half the number of dimes.
n = [tex]\frac{d}{2}[/tex] + 6 ------(2)
By substituting the value 'n' from equation (2) to equation (1)
5([tex]\frac{d}{2}[/tex] + 6) + 10d = 655
[tex]\frac{5d}{2}[/tex] + 30 + 10d = 655
[tex]\frac{25d}{2}[/tex] = 655 - 30
25d = 625 × 2
d = [tex]\frac{1250}{25}[/tex]
d = 50
Therefore, total number of dimes collected = 50
Write 546/61 as a mixed number.
Can you solve it
Answer:
8 58/61.
Step-by-step explanation:
546/61 = 8 remainder 58
so it's 8 58/61.
how many triangles.
Which equation can we use to find the equal volume of concrete in cubic feet darlin' needs for the staircase
Answer:
The equation required to find the volume of concrete is:
L X W X H.
Step-by-step explanation:
L = Lenght
W = Width
H = Height
To calculate the required volume for concrete, you'd need to multiply the measures of all the dimensions together such as the lenght and the breath (which gives you the Area) and the thickness or height of the staircase.
If the calculation is being expressed in Feet, the answer will also be expressed as Volume of concrete in Cubic feet.
Cheers
what is 11/20 as a percent
Answer:
55%
Step-by-step explanation:
11/20 = x/100
cross multiply
Answer:
55%
Now we can see that our fraction is 55/100, which means that 11/20 as a percentage is 55%.
Step-by-step explanation:
Find (4.2) x (1.6) by drawing an area diagram or using another method. Show your reasoning
awnscer is 6.72 sorry could not find a diagram
Answer:
The answer is 6.72
Step-by-step explanation:
what you can do is 42 x 16 (you can add the decimal if you want) btu after your done solving it you should get 672 and if your doing decimals just count how many behind the decimal and count it and you will get 6.72! hope this helps.