Answer:
$2370.59
Step-by-step explanation:
the final balance is $2370.59
Write an equation that represents a perpendicular line to y=-3x+5
Answer:
Example
Step-by-step explanation:
The slope-intercept form is y=mx+b y = m x + b , where m m is the slope and b b is the y-intercept. Using the slope-intercept form, the slope is 3 3 . The equation of a perpendicular line to y=3x−5 y = 3 x - 5 must have a slope that is the negative reciprocal of the original slope.
help with this question!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
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It might help to draw a triangle to represent what's going on. See the diagram below.
Let's call the triangle ABC. We'll place point A at the 90 degree angle, so it's at the base of the tower. Place point B where the knight is located. Point C is the location of the window in the tower.
The knight is 15 feet away from the base, meaning AB = 15. With respect to the reference angle (B = 60), side AB = 15 is the adjacent side. The length of the ladder BC is the unknown hypotenuse. We'll call this x for now.
We'll use the cosine rule to connect the adjacent and hypotenuse.
cos(angle) = adjacent/hypotenuse
cos(B) = AB/BC
cos(60) = 15/x
x*cos(60) = 15
x = 15/cos(60)
x = 30
Your calculator needs to be in degree mode.
Because x = 30, we conclude that the ladder needs to be BC = 30 feet long.
Side note: For any special 30-60-90 right triangle, the hypotenuse is always twice as long compared to the shorter leg.
(3)
8.
The normal price of a denim shirt at a shop is £9.60
On Special Offer Day, there is 1/3 off the normal price.
Billy has £13
Has he enough money to buy two denim shirts on
Special Offer Day? You must show all your working.
Special Offer Day
1
off normal prices
Answer:
Yes, Billy will have enough money to buy two denim shirts.
Step-by-step explanation:
£9.60 × (1/3)
= £3.20
On the special offer day, a denim shirt will cost £3.20.
£3.20×2 = £6.40
Two shirts will cost £6.40
Billy has £13, which will be enough for him to buy two shirts and will have a remaining balance of £6.60
ames has 268 cookies to put into bags. Each bag holds 8 cookies.
If James uses as many of the cookies as possible, how many bags can he make, and how many cookies are left over?
Enter your answers in the boxes.
Step-by-step explanation:
Total amount of cookies= 268
One bag can hold 8 cookies
268 / 8 = 33 (remainder 4)
He can make as many as 33 bags, and there are 4 cookies left over.
The dot plots below show the weights of the players of two teams:
Based on visual inspection of the dot plots, which team appears to have the larger mean weight?
A. Team A
B. Team B
C. Both groups are similar.
D. Not enough information is available to draw a conclusion.
which of these is equivalent to (2^-4) * 2^-5 / 2^6
Answer:
1/2^7
Step-by-step explanation:
Answer:
1/2^7
Step-by-step explanation:
What is the volume of the solid if a 6 inch (diameter hole is drilled all the way
Answer:
1,467.6 cm³
Step-by-step explanation:
Volume of the solid = volume of the rectangular prism - volume of the cylinder
= L*W*H - πr²h
L = 12
W = 10
H = 16
r = ½(6) = 3
h = 16
Plug in the values
Volume of the solid = 12*10*16 - π*3²*16
= 1,920 - 452.40
= 1,467.6 cm³
Please help me with this
Answer:
–x² + 12x + 5
Step-by-step explanation:
x² + 3x
–2x² + 9x + 5
The sum of the above expression can be obtained as follow:
.... x² + 3x
+ –2x² + 9x + 5
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
–x² + 12x + 5
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
Thus, the sum of x² + 3x and –2x² + 9x + 5 is –x² + 12x + 5
PLS HWLP ME, I REALLY NEED IT
Answer:
E. 3×3×3×3
part b:
3×3×3×3
9×9
81
The Dakotas rented a minivan for their family vacation. When they returned
from vacation, the total bill for the van was $575. The standard weekly rate
from the rental company is $355 plus $55 for each additional day of usage.
How many additional days did the Dakotas have the minivan?
Answer:
4 additional days.
Step-by-step explanation:
So the total charge is $575.
It costs $355 for 1 week of use of the van.
1 week is 7 days.
It costs $55 for each extra day of use of the van.
575=55d+355
d is for the unknown extra amount of days.
subtract 355 from both sides
220=55d
divide by 55 on both sides
4=d
So, the Dakotas used the van for 4 additional days. So in total the used the van for 4+7 days.
4+7=11 total days.
But the answer to the question is 4 days, because it specifically ask for additional days.
HELP ME ASAP
I NEED YOUR HELP PLS
I NEED AN ANSWER NOW
Answer:
N=21 Degrees M=122 Degrees L= 37 Degrees X=21 Degrees
Step-by-step explanation:
Add all them up then make them equal 180 degrees
9x-9 = 180
Solve
9x=180 +9
9x= 189
9x/9= 189/9
x=21
Then plug in x to find each Angle.
N (x) Degrees
N=21 Degrees
M = 6x - 4
M = 6(21) - 4
M = 126 - 4
M = 122 Degrees
L = 2x - 5
L = 2(21) -5
L = 42 - 5
L = 37 Degrees
A cube has an edge length of 9 meters. What is its volume, in cubic meters?
Answer:
The volume of the cube is of 729 cubic meters.
Step-by-step explanation:
Volume of a cube:
The volume of a cube with edge length a is given by:
[tex]V = a^3[/tex]
In this question:
The edge length is of 9 meters, so [tex]a = 9[/tex]. The volume, in cubic meters, is:
[tex]V = a^3 = 9^3 = 729[/tex]
The volume of the cube is of 729 cubic meters.
which expression is equivalent to
[tex]4 - ( - 7)[/tex]
A.7+4
B.4-7
C.-7-4
D.-4+7
You are conducting a study to see if the probability of a true negative on a test for a certain cancer is significantly more than 40%. With H1 : p > 40% you obtain a test statistic of z = 1.574. Find the p-value accurate to 4 decimal places.
Answer:
The p-value is 0.0577.
Step-by-step explanation:
The alternate hypothesis is:
[tex]H_1: p > 40\%[/tex]
P-value of the test:
The p-value of the test is the probability of finding a sample proportion above the one found, which is 1 subtracted by the p-value of z.
We have that z = 1.574.
Looking at the z-table, z = 1.574 has a p-value of 0.9423
1 - 0.9423 = 0.0577
The p-value is 0.0577.
Question
A bottle of medicine contained 300 mL. Convert this to liters.
Provide your answer below:
L
Answer:
0.3L
Step-by-step explanation:
1000mL = 1L
300mL = 0.3L
A:45
B:60
C:90
D:180
Answer:
90
Step-by-step explanation:
When you have Triangles, you have to divide your answer by two. So first, Multiply 3 x 5, which is 15. But you need to divide by two, so 15 ÷ 2 is 7.5. Then, Multiply 7.5 x 12, and now you have 90. Hope this helps!
What is the least common multiple of 3, 10, and 15?
Answer:
30
Step-by-step explanation:
30/3 = 10
30/10 = 3
30/15 = 2
Hope this helps!
Find Sin S, sin R, cos S, and cos R
Answer:
18/26
16/26
16/26
18/26
Step-by-step explanation:
big help someone clutch up for me.TIMED!!
Answer:
B. 5
Step-by-step explanation:
Given expression;
n(n - x) = 25
From the given expression, x = 0
Substitute the value of x into the given equation and solve for n;
n(n - 0) = 25
this equation reduces to;
n(n) = 25
simplifying further to obtain the value of n;
n² = 25
n = √25
n = 5
Therefore, the correct option is B.
Plz help me I'll give brainly and 60 points .
If F(x) = log base5(2x,) find the Inverse of F(x)
A) 5^y=2x
B) 5^2y=x
C) y = (5^x)/2
Answer:
C) y = (5^x)/2
Step-by-step explanation:
Steven and his family ordered a meal the cost 136.50. Steven paid 14% sales tax and left a 20% tip on 136.50. What was the total cost
Answer:
The total cost was $182.91.
Step-by-step explanation:
Tax formula:
tax=tax percentage×amount
Tip formula:
tip=tip percentage×amount
solve
First find the tax. Write 14% as the decimal 0.14 before using it in the equation.
tax
= tax percentage×amount
= 0.14×136.50
= 19.11
The tax was $19.11.
Now find the tip. Write 20% as the decimal 0.20 before using it in the equation.
tip
= tip percentage×amount
= 0.20×136.50
= 27.3
The tip was $27.30.
Finally, find the total cost.
total cost
= cost + tax+tip
= 136.50+19.11+27.30
= 182.91
Answer:
182.91
Step-by-step explanation:
The equation 12.5(x + 20) = 460 describes Steve's exercise plan for the
next 12 weeks. He wants to bike 20 miles per week and run x miles per
week for a total of 460 miles. How many miles, x, should Steve run each
week to achieve his goal?
A. 56.8 miles B. 38.4 miles. C. 35.2 miles. D. 16.8 miles
Drag tiles to match each fraction, decimal, or percent to an equivalent fraction, decimal, or percent.
Answer:
...
Step-by-step explanation:
1. 0.002
2. 308%
3. 2 6/10
The ratio of blue cars to red cars in a garage is 9:7. If there are 49 red cars in the garage then how many blue cars must be in the
garage?
Answer:
Blue cars, B = 63 cars
Step-by-step explanation:
Let the blue cars be B.
Let the red cars be R.
Given the following data;
Ratio of B:R = 9:7 = 9 + 7 = 16
Red cars, R = 49
To find the number of blue cars;
First of all, we would determine the total number of cars using the expression;
R = 7/16 * x = 49
7x = 49 * 16
7x = 784
x = 112 cars
Now, we can find the number of blue cars;
B = 9/16 * 112
B = 1008/16
Blue cars, B = 63 cars
Find the area of each figure. Round to the nearest tenth. Use 3.14 or 22/7 for pi.
a. 22 yd
b. 44 yd
c. 154 yd
d. 616 yd
Answer:
c. 154 yd²
Step-by-step explanation:
Given
Diameter (d) = 14 yd
radius (r) = 14/2 = 7 yd
Area of the circle
= π r²
= 22 /7 * 7 * 7
= 154 yd²
When you roll two number cubes, what are the odds, in simplest form, in favor of getting two numbers less than 3?
Answer:
1/3
Step-by-step explanation:
there are 4 numbers total that are less than 3 and there are 12 sides total
so 4/12 would be the total and 1/3 would be simplified
write down the coordinates of a point which lies in the second quadrant and 6 units far from both the axes
Answer:
(-6, 6)
Step-by-step explanation:
Find the surface area of the triangular prism.
Answer: 125.6
Step-by-step explanation:
5. How are CIRCLE and CONE different?
Differences:
similraties:
Answer:
a circle is 2d and a cone is 3d and a cone has a circle on the bottom
Step-by-step explanation:
Unit 1: Geometry Basics Homework 3: Angle Relationships
Answer:
juicy no no square
Step-by-step explanation:
The value of x = z = 73 degrees and y = 107degrees
3) Geometry is a branch of mathematics that deals with the measurement of lines and angles.
From the diagram shown, we can see that the two lines intersect at a point. The following is therefore true:
y = 107° (vertically opposite angle)The sum of z and 107 is supplementary. Hence;
z + 107 = 180z = 180 - 107z = 73degreesAlso, the sum of x and y is also supplementary. This shows that:
x + y = 180x + 107 = 180x = 180 - 107x = 73dgreesFrom the calculations, hence x = z = 73 degrees and y = 107degrees
Learn more on lines and angles here: https://brainly.com/question/19023162