Answer:
x = 19
Step-by-step explanation:
By the Supplementary Angle Theorem we can say that;
123 + 3x = 180
3x = 57
x = 19
Hope this helps!
Principal, $3000; Annual interest rate, 5.4%; time, 5 years
Answer:
SI = $810
Amount = $3,810
Step-by-step explanation:
Given that ,
P = $ 3,000 R = 5.4% T = 5 yrs .We can use the formula of SI to find the interest as ,
=> SI = P × R × T / 100
=> SI = $ 3000 × 5.4 × 5 / 100
=> SI = $ 30 × 5.4 × 5
=> SI = $ 810 .
If you want to know total amount , then ,=> Amount = SI + P
=> Amount = $ 810 + $ 3,000
=> Amount = $ 3,810
Hence the Amount is $3,810 and the SI is $810 .Answer:
Step-by-step explanation:
3000*(.054)(5)= $810
picture included-11 points
Answer:
Using the Pythagoras theorem, we have:
[tex]c = \sqrt{a {}^{2} + b {}^{2} } [/tex]
with a = 5, b = 6, we have:
[tex]c = \sqrt{5 {}^{2} + 6 {}^{2} } = \sqrt{61} [/tex]
Verify: 4tan(θ)sec(θ) = (1+sin(θ)/1−sin(θ)) − (1−sin(θ)/1+sin(θ))
Working with the right side,
(1 + sin(θ))/(1 - sin(θ)) - (1 - sin(θ))/(1 + sin(θ))
multiply the first term by (1 + sin(θ))/(1 + sin(θ)) and the second one by (1 - sin(θ))/(1 - sin(θ)). This gives
(1 + sin(θ))/(1 - sin(θ)) • (1 + sin(θ))/(1 + sin(θ)) = (1 + sin(θ))^2 / (1 - sin^2(θ))
… = (1 + sin(θ))^2 / cos^2(θ)
and
(1 - sin(θ))/(1 + sin(θ)) • (1 - sin(θ))/(1 - sin(θ)) = (1 - sin(θ))^2 / (1 - sin^2(θ))
… = (1 - sin(θ))^2 / cos^2(θ)
Now combine the fractions, expand the numerator, and simplify:
(1 + sin(θ))^2 / cos^2(θ) - (1 - sin(θ))^2 / cos^2(θ) = ((1 + sin(θ))^2 - (1 - sin(θ))^2) / cos^2(θ)
… = ((1 + 2 sin(θ) + sin^2(θ)) - (1 - 2 sin(θ) + sin^2(θ))) / cos^2(θ)
… = 4 sin(θ) / cos^2(θ)
… = 4 • sin(θ)/cos(θ) • 1/cos(θ)
… = 4 tan(θ) sec(θ)
A flagpole 15 feet tall casts a shadow 9 feet long. Find, to the nearest degree, the angle of elevation of the sun at this time of day ? trigonometry
Answer:
noon 180 degrees from 12 to 12
250 grams of flour cost $ 17 .00 . how muchnwill 3 bags each holding 1.5kg of flour cost
Answer:
$51.00
Step-by-step explanation:
One bag price multiply it number of price bag wanted $17.00 × 3 =$51.00
Need help quick thank you in advance
Answer:
eeeerrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrm i have no idea
Step-by-step explanation:
#1
Solving for x only
[tex]\\ \sf\Rrightarrow x+90+55=180[/tex](Linear pair
[tex]\\ \sf\Rrightarrow x+145=180[/tex]
[tex]\\ \sf\Rrightarrow x=35°[/tex]
#2
[tex]\\ \sf\Rrightarrow x+32=90[/tex]
[tex]\\ \sf\Rrightarrow x=90-32=58°[/tex]
And
[tex]\\ \sf\Rrightarrow y+x=90°[/tex]
[tex]\\ \sf\Rrightarrow y=90-58=32°[/tex]
Can someone please help with this math problem
Given:
The function is:
[tex]y=(f(x))^2[/tex]
To find:
The derivative of the given function at x=1, i.e., y'(1).
Solution:
Chain rule of differentiation:
[tex][f(g(x))]'=f'(g(x))g'(x)[/tex]
We have,
[tex]y=(f(x))^2[/tex]
Differentiate with respect to x.
[tex]y'(x)=2(f(x))\dfrac{d}{dx}f(x)[/tex]
[tex]y'(x)=2f(x)f'(x)[/tex]
Putting [tex]x=1[/tex], we get
[tex]y'(1)=2f(1)f'(1)[/tex]
From the given table of values it is clear that f(1)=3 and f'(1)=3. Putting these values in the above equation, we get
[tex]y'(1)=2(3)(3)[/tex]
[tex]y'(1)=18[/tex]
Therefore, the value of y'(1) is 18.
This figure shows two identically sized posters that need to be hung on a
10-foot-wide wall.
How far apart, in feet, should each poster be for x to be the same distance
at all three places
Answer: 2.5 ft
Step-by-step explanation: Add 1 1/4 + 1 1/4 = 2.5
Subtract 2.5 ft from 10 ft = 7.5 ft divided by 3 places = 2.5 ft
To check answer: 2.5ft + 2.5ft + 2.5ft + 1 1/4ft + 1 1/4ft = 10 ft
The distance between the two identically sized posters should be 2,5 ft at all three places.
What is a linear equation?A linear equation is an equation that has the variable of the highest power of 1. The standard form of a linear equation is of the form Ax + B = 0.
Let x be the distance between the two identically sized posters.
Add 1 1/4 + 1 1/4 = 2.5
The total length of the given wall is 10 ft.
here, the equation formed as
x + x +x + 2.5 = 10
3x + 2.5 = 10
3x = 10 - 2.5
3x = 7.5
x = 2.5
So, The distance between the two identically sized posters should be 2,5 ft at all three places.
Learn more about linear equations;
https://brainly.com/question/27056029
please help i dont get it
Which team has the shortest player? Explain.
Which team has the tallest player? Explain.
Which box plot has the greater IQR? Explain.
Ms.A thinks that the 25% of the NY Knicks are at least 74 inches tall. Do you agree or disagree?
Explain using mathematical reasoning.
Ms.T rann thinks that 1the NY Knicks has a larger spread than Liverpool. Do you agree or disagree? Explain using mathematical reasoning.
Answer:
1. the team of Liverpool FC has the shortest player because the minimum is 64.
2. ny Knicks has the tallest player with a height of 84.
3. the NY Knicks box has the largest IQR because 82 - 74 = 8.
MS. A is wrong bc the 75% of players are taller than 74 inches.
Step-by-step explanation:
Fun Fact that has nothing to do with this:
The Beatles meet in Liverpool.
can anybody help me please
Answer:
[tex]the \: forth \: answer \: is \: correct \: answer[/tex]
quiennzmamamsmmsmsmsmssnzns
Find the area of this triangle round to the nearest tenth
Answer:
128.08 in^2
Step-by-step explanation:
A=1/2 ab SinC
=1/2×11×24×Sin 76
The area of given triangle is 128.1 square inches.
What is area of SAS triangle?The area of a SAS triangle is the total amount of space it encloses in a 2-dimensional plane. "SAS" which means "Side, Angle, Side", is the property of a triangle whose 2 sides and the angle between these sides is given.
The formula to calculate the area of a triangle using SAS is given as,
1. When sides 'b' and 'c' and included angle A is known, the area of the triangle is: 1/2 × bc × sin(A)
2. When sides 'b' and 'a' and included angle B is known, the area of the triangle is: 1/2 × ab × sin(C)
3. When sides 'a' and 'c' and included angle C is known, the area of the triangle is: 1/2 × ac × sin(B)
Given
a = 24 inches
b = 11 inches
∠C=76°.
Area of SAS triangle = [tex]\frac{1}{2} absinc[/tex]
Area = [tex]\frac{1}{2}(24)(11)sin76^{0}[/tex]
Area = 128.079 ≅ 128.1 (nearest tenth)
Hence, the area of given triangle is 128.1 square inches.
Find out more information about area of SAS triangle here
brainly.com/question/3509451
#SPJ2
Lucy will spend more than $26 on gifts. So far, she has spent $17. What are the possible additional amounts she will spend?
use C for the additional amount Lucy will spend
Answer:
She can spend anything greater than $9. Such as, $10, $11, $12, $13
Step-by-step explanation:
Subtract 17 from 26 to get $9
Which of the following values are in the range of the function graphed below?
Check all that apply
Answer:
6
Step-by-step explanation:
I Just answered the question on my test
cions: Write the decimal as a percent and as a fraction or mixed number in simplest
0.15
0.9
0.02
Luke is driving from his house to the store. After driving 16 miles at a constant speed of 0.8 mile/minute, he realizes that he forgot his wallet. So, he turns around and drives all the way back to his house at the same speed. The equation below models Luke's distance, in miles, from home as he drives for t minutes. Using the given equation, match the number of minutes since Luke started driving from his house to his distance from the house. 12 minutes 27 minutes 31 minutes 7 minutes 10.4 miles on his return trip arrowRight 5.6 miles on his trip to the restaurant arrowRight 9.6 miles his trip to the restaurant arrowRight 7.2 miles on his return trip arrowRight
Answer:
The number of minutes since Luke started driving from his house to his distance from the house is 40 minutes. :)
Step-by-step explanation:
Solve for each unknown angle measure...
Please help! This a a test btw so please give me the right answer!
Answer:
because l1//l2 => z + 65 = 180
y + 65 = 90
x + 65 = 90
<=> z = 115
y = 25
x = 25
Answer:
x=25
y=25
z=115
Step-by-step explanation:
x congruent to y
180-90-65=25
180-65=115
Use grid paper to find the median of the data. 16, 24, 13, 36, 22, 26, 22, 28, 25 will give Briainelst
Answer:
24
Step-by-step explanation:
put them in ascending order then cross of one each side still you reach the middle
Two cyclists start at the same point and travel in opposite directions. One cyclist travels 10 kmh faster than the other. If the two cyclists are 162 kilometers apart after 3 hours, what is the rate of each cyclist?
sum 1 help pls!!!!!!!!!
Answer:
5¹⁵
Step-by-step explanation:
(5³)⁹ = 5²⁷
5²⁷ ÷ 5¹² = 5¹⁵
Plz help me well mark brainliest if correct!....
Answer:
C
Step-by-step explanation:
B can immediately be eliminated because it has an area of 14.
A and C have an area of 10.
So add the sides.
C:
4 + 4 + 1 + 1 + 2 + 2 + 1 + 3
= 18
A: 3 + 3 + 2 + 2 + 1 + 1 + 1 + 1 =
10 + 4 =
14
HELP ME PLEASEEEEEEEEEEEE
Answer:
1080 in^2
Step-by-step explanation:
Answer:
180 in^2
Step-by-step explanation:
A 12" wide by 30" flag has the area A = (1/2)(base)(height) square inches, or 180 square inches.
1. Priya has a recipe for banana bread. She uses 8 cups of flour to make 3 loaves of banana bread
Complete the table for this relationship. (2 points)
f
b
1
8
3
Answer:
A picture of this would really help thx so much! (Please comment when u have done so that i can be notified
Step-by-step explanation:
What is the value of the discriminant, b^2-4ac, for the quadratic equation 0=x^2-4x+5, and what does it mean about the number of real solutions the equation has?
PLS HELP 80 POINTS AND BRAINLIEST What is the surface area of the rectangular prism below?
17 yd²
84 yd²
108 yd²
168 yd²
Answer:
168 yd²
Step-by-step explanation:
1) Dark Grey:
[tex]A_1 = 2(2 * 9) = 2* 18 = 36\ yd^2[/tex]
2) Light Grey:
[tex]A_2 = 2(2*6) = 2*12 = 24\ yd^2[/tex]
3) Whitish-Grey:
[tex]A_3 = 2(6*9) = 2 * 54 = 108\ yd^2[/tex]
4) Total Area:
[tex]A = A_1 + A_2 + A_3 = 36 + 24 + 108 = 168\ yd^2[/tex]
Plz help me well mark brainliest if correct!....
Answer:
the answer to the question is A
8. If KITE is a kite, find the value of x and y.
A)x=5, y=5
B)x=3, y=5
C)x=8, y=3
D)x=3, y=8
Answer:
x = 3; y = 8
Step-by-step explanation:
Sides KI and KE are congruent.
4x = 12
x = 3
Sides IT and ET are congruent.
3y - 4 = 20
3y = 24
y = 8
Answer: x = 3; y = 8
Please Help i need the answer done step by step!
Answer:
55°
Step-by-step explanation:
180-125= 55
since they are supplementary, just subtract from 180
NEED ANSWERS FAST!!! If there are 17 blue and white stripes on the flag and 9 of them are blue, how many are white?
I need help I keep getting it wrong lol
Answer:
40 percent
Step-by-step explanation: