step by step explaination:
ending balance=$30000
30000*5.5
165000÷6=27,500
compound interest =27,500
If 0 < b ≤ 90 and cos(11b + 2) = sin(12b − 4), what is the value of b? b = 3 b = 4 b = 5 b = 6
Answer:
[tex]b = 6[/tex]
Step-by-step explanation:
Given
[tex]0<b\le 90[/tex]
[tex]\cos(11b + 2) = \sin(12b - 4)[/tex]
Required
Find b
To solve this, we make use of the following trigonometry rule:
If [tex]\cos(\alpha) = \sin(\beta)[/tex]
Then: [tex]\alpha + \beta = 90[/tex]
So:
[tex]11b + 2 = 12b - 4[/tex]
Collect like terms
[tex]11b - 12b = - 4 - 2[/tex]
[tex]-b = - 6[/tex]
Multiply both sides by -1
[tex]b = 6[/tex]
He has hired you as their new production manager. Your job is to look at five different solid figures and determine which would best suit the needs of the company for packaging the candy. You will choose one of the five options shown below. The candy is animal gummies. The package must hold between 60 and 70 cubic inches (roughly 4-5 cups of space). The cost of the plastic for the packaging is $0.003 per square inch
A newspaper report claims that 30\%30%30, percent of all tea-drinkers prefer green tea to black tea. Leo is the office manager at a company with thousands of employees. He wonders if the newspaper’s claim holds true at his company. To find out, Leo asks a simple random sample of 125125125 tea-drinking employees which they prefer: green tea or black tea.
Complete question :
A newspaper report claims that 30% of all tea-drinkers prefer green tea to black tea. Dr. Huber is the office manager at a company with thousands of employees. He wonders if the newspaper's claim holds true at his company. To find out, Dr. Huber asks a simple random sample of 125 tea-drinking employees which the prefer: green tea of black tea. Here's Dr. Huber's null hypothesis: H_0 : The proportion of all tea-drinkers at the company that prefer green tea to black tea is...
What is an appropriate way for Dr. Huber to finish his null hypothesis?
A. ...equal to 30%
B. ...less than 30%
C. ...greater than 30%
D. ...not equal to 30%
Answer:
A. ...equal to 30%
Step-by-step explanation:
Given the incomplete hypothesis statement for the Null ;
The null hypothesis: H_0 is declared as : The proportion of all tea-drinkers at the company that prefer green tea to black tea equal 30
The alternative hypothesis on the other side is the opposite statement or hypothesis.
Factorise, check by using multiplication a-7a+12
Answer:
Step-by-step explanation:
Sum = -7
Product = 12
Factors = (-3) ; (-4) { (-3) * (-4) = 12 and (-3) + (-4) = -7}
a² - 7a + 12 = a² -3a - 4a + (-3)(-4)
= a(a - 3) - 4(a - 3)
= (a - 3)(a - 4)
PLEASE HELP THUS IS DUE IN AN HOUR
finding angle measures with trig. Find the missing angle measures. Round to the nearest whole number
Step-by-step explanation:
let angle be x
Step-by-step explanation:
relationship between perpendicular and hypotenuse is given by sin angle
sin x =p/h
sin x=13/26
x=sin-¹(13/26)=30°
2.relationship between perpendicular and base is given by tan angle
tan x =p/b
tan x =7/16
x=tan -¹(7/16)=23.63°
3.relationship between between perpendicular and base is given by tan angle
tan x =p/b
tanx=31/50
x=tan-¹(31/50)=31.8°
4.relationship between base and hypotenuse is given by cos angle
cos x =b/h
cos x=5/7
x=cos-1(5/7)=44.4°
5.relationship between perpendicular and hypotenuse is given by sin angle
sin x =p/h
sin x=4/14
x=sin-¹(4/14)=16.6
6..relationship between base and hypotenuse is given by cos angle
cos x=6/7
x=cos-¹(6/7)=31.0027
7.relationship between perpendicular and base is given by tan angle
.tanx=29/37
x=tan-¹(29/37)=38.09
8.relationship between perpendicular and hypotenuse is given by sin angle
.sin x=43/60
x=sin-¹(43/60)=45.78
9..relationship between base and hypotenuse is given by cos angle
cos x=32/44
x=cos-¹(32/44)=43.34
Are the ratios 2:1 and 12:7 equivalent?
Answer
A ratio obtained by multiplying or dividing the numerator and denominator of a given ratio by the same number is called an equivalent ratios.
Hope this helps you ;]
Step-by-step explanation:
Find the lateral surface area of the triangular prism.
A) 420 cm2
B) 480 cm2
C) 540 cm2
D) 620 cm2
Answer:
620
Step-by-step explanation:
other dood is wrong lol i did the math and took the test AND got it right
The lateral surface area of the triangular prism is 480 square cm,
option (B) is correct.
It is given that the triangular prism has a 10 cm height and its sides are 16 cm, 12 cm, and 20 cm respectively.
It is required to find the lateral surface area.
What is the lateral surface area?It is defined as the surface area of an object excluding its top and base areas, it is different from the total area.
We know that,
The lateral surface area of triangular prism = perimeter of the
base×height
= (a + b + c ) × h
We have, a = 16, b = 20 cm, c = 12 cm, and h =10 cm.
Putting these values in the above formula, we get:
[tex]\rm = (16+20+12) \times10\\\\\rm = 48\times 10\\\\\rm = 480 \ cm^2[/tex]
Thus, the lateral surface area of the triangular prism is 480 square cm,
option (B) is correct.
Learn more about the lateral surface area here:
https://brainly.com/question/14001755
Given the following exponential function: y
300(1.08)
What is the starting value?
What is the percent increase?
Answer:
Znhh
dlph is go pp pap iz clicker party calls X appraisal stock
Step-by-step explanation:
ha go ricksha symbiosis also jaldiif you run 2 1/2 miles each day how far are you going
Answer:
2 1/2 miles
Step-by-step explanation:
my teacher
What is the measure of arc QSR?
Answer:
250°
Step-by-step explanation:
Answer:
250
Step-by-step explanation:
I did it
can someone give me the answer to this !
Answer:
9
Step-by-step explanation:
Answer:
there are nine teachers
Step-by-step explanation:
The line plot shows how many gallons of paint a painter used in 10 jobs. How many total gallons of paint did the painter use on all the jobs that used less than 2 1/2 gallons of paint?
A: 5 1/4
B: 6 3/4
C: 8 3/4
D: 9 1/2
Answer:
8 3/4
Step-by-step explanation:
There are 5 jobs that required less than 2 1/2 gallons.
For the equation, you'll just be adding all these up
1 1/2 + 1 1/2 + 1 3/4 + 2 + 2
Which will give you 8 3/4
Someone plz help me ASAP
Answer:
best song in the world is baby Shark
1.) y + 3 > 7 what’s the answer?
Answer:
Yes you are right it is option 4
Step-by-step explanation:
Answer:
Option 4
Step-by-step explanation:
By it has to be greater than 4 so it would be above it
Moe painted the lid of a barrel. The circumference of the lid is 32 inches. Which
measurement is closest to the area of the lid in square inches?
Answer:
A ≈ 81.487 in²
Step-by-step explanation:
We know that circumference is C = 2πr, where r is the radius.
So,
C = 2πr
32 = 2(3.14)r
[tex]r=\frac{32}{2(3.14)}[/tex]
r ≈ 5.093 in
We also know that the formula for the area of a circle is A = πr², so:
A = πr²
A = (3.14)(5.093)²
A ≈ 81.487 in²
Find two numbers whose sum is 28 and whose difference is 13
5000 at 9% for 4 years. pls help me
Answer:
$5,024
Step-by-step explanation:
please help asp please
Answer:
C) 76 cm²
Step-by-step explanation:
area = (8 x 8 ) + (3 x 8 x 0.5) = 76 cm²
another way is:
area = 1/2(b1 + b2)(h)
area = 1/2(11 + 8)(8) = 76 cm²
Answer:
76
Step-by-step explanation:
Hello There!
The area can be found by using this formula
[tex]A=\frac{a+b}{2} h[/tex]
where a and b = bases and h = height
we need to find the height before we can find the area
the shape was split into a triangle and a square
because its a square and one of the side lengths is equal to 8cm the height will be equal to 8cm
now we plug in the known information into the formula
[tex]A=\frac{11+8}{2} 8\\11+8=19\\\frac{19}{2} =8.5\\8.5*8=76\\A=76[/tex]
so we can conclude that the area of the trapezoid is 76 square centimeters
PLEASE HELP 20 POINTS AND BRAINLEST PLEASE
- Meredith is
feet shorter than her friend
3
Tucker. If Meredith is 5 feet tall, how tall is
Tucker?
Answer: 8 ft
Step-by-step explanation: Well since Meredith is 5 ft you will add 3 ft because she is 3 ft shorter than Tucker and we are talking about Tucker's height. If you add 3 ft then you would get 8 ft.
Answer:
Tucker is 8 feet tall.
Step-by-step explanation:
if she's 3 feet shorter then just add 3 feet to her normal height.
684+270 is the same as 654+
Answer:
Thats incorrect. 684+270=954. 654+ would be saying a number thats 654 or higher. But not stating the real total.
Step-by-step explanation:
Hope this helped!! :)
What equation matches the graph?
A. y=3/2x +1
B.y=1/3x +1
C. y=1/2x + 1
D. y=3/2x + 1
area of this question?
Answer:
The answer is 165
Step-by-step explanation:
If I'm wrong I'm sorry
Find the lengths of AC and BC, and find the measure of angle B.
please help :)
Answer:
I know that the angle is 57
Step-by-step explanation:
PLEASE HELP ME ILL MAKE BRAINLIEST!!!!!
I need the correct answer
Answer:
56.7
Step-by-step explanation:
Hello There!
Trigonometric Ratios
sin = opposite divided by hypotenuse
cos = adjacent divided by hypotenuse
tan = opposite divided by adjacent
we need to find x and we are given its opposite side length and the hypotenuse
so the trigonometric ratio we need to use is sin
knowing that sin = opposite side divided by hypotenuse we create an equation
[tex]sin(x)=\frac{51}{61}\\\frac{51}{61} = .8360655738\\arcsin(sinX)=x\\arcsin(.8360655738)=56.72695659[/tex]
our final step is to round to the nearest tenth of a degree
so we can conclude that the measure of angle A is 56.7
note: arcsin = inverse of sin
Answer:
56.7
Step-by-step explanation:
so opposite the angle we are working out is "o"And the longest side is the hypotunese but just remember it as "h"a is the remaining side but does not have a value and is blank therefore we need to worry about this sideWe have "o" and "h" which is the formula triangle with sin o/sin*hBut as we are working out the angle(sin) we change the formula so it is sin=0/hsin=51/61sin=0.8then you click the shift or 2nd function button on your calculator and the sin button and this is your answer 56.7so the angle is 56.7find the value of given expression
[tex] \sqrt{66 \times 66} [/tex]
Answer:
[tex] \sqrt{66 \times 66} = 66[/tex]
Answer:
66 is the exact value of the expression
Step-by-step explanation:
Bestbuy is having a sale, 45% off all merchandise! You see a laptop you like and you only have $300. The laptop's regular price is $499. Can you afford it after the discount?
Answer:
Yes you could afford it
Step-by-step explanation:
Answer
yes.
Step-by-step explanation:
45% of the 500 dollar price comes down to $225, and with your $300, you can afford it.
A triangle has an area 14.5 ft.². The base of a triangle is 8 feet. What is the height?
Answer:
The height is 3.625ft.
Step-by-step explanation:
0.5x8xa=14.5
4a=14.5
a=14.5/4=3.625
Type the correct answer in the box.
log +log -10823= log
Answer:
log 7
Step-by-step explanation:
Using the rules of logarithms
log x + log y ⇔ log (xy )
log x - log y ⇔ log ([tex]\frac{x}{y}[/tex] )
Given
log[tex]\frac{14}{3}[/tex] + log[tex]\frac{11}{5}[/tex] - log[tex]\frac{22}{15}[/tex]
= log ([tex]\frac{14}{3}[/tex] × [tex]\frac{11}{5}[/tex] ) - log[tex]\frac{22}{15}[/tex]
= log ([tex]\frac{154}{15}[/tex] ) - log[tex]\frac{22}{15}[/tex]
= log ( [tex]\frac{154}{15}[/tex] ÷ [tex]\frac{22}{15}[/tex] )
= log ([tex]\frac{154}{15}[/tex] × [tex]\frac{15}{22}[/tex] )
= log[tex]\frac{154}{22}[/tex]
= log 7
how many solutions does this equation have?
3x-5=2x+2
Answer:
x = 7
Step-by-step explanation:
3x+2x=7x
No clue what I am doing
Answer:
1. 1=18°, 2=90°
2. 1=85°
3. 1=97°
4. 2=83°
5. 3=49°
6. 1=94°
7. 4=45°
8. 3=65°
9. 2=79°
10. 5=73°
11. 6=147°
12. 1=26°
13. 2=32°
Step-by-step explanation:
1. all angles of a triangle equal 180. 2 is 90 degrees because you can look across to find the symbol. Then you subtract 180 by 72 and 90 to get 18.
2. do the same thing as last time, 180 minus 40 and 55.
3. In order to figure this out, you need to have the angle 2. One you have 83, angles like this, together will add up to 360 if you put 2 of them together. 83×2=166. 360-166=194. 194/2=97.
4. To figure this out, you find the angle across from it because those are always the same. Follow the same process to subtract 39 and 58 from 180 to get 83.
5.Now that you have the angle 2 you can figure this one out as well, again, follow the process of subtracting the two opposite angles from 180 to get 49.
(This is taking really long to explain so if you have questions just ask.)