Answer:
x=7
y=14
Step-by-step explanation:
this is a special 30-60-90 right triangle bc there is a right angle marker and a 60 degree and 30 degree angle
in 30-60-90 right triangles the short leg is x, the long leg is x√3, and the hypotenuse is 2x
it is given that the long leg is 7√3, and since the long leg equals x√3, then x equals 7
so the short leg, x, is 7 and since the hypotenuse is 2x, 2(7) =14
A bank account has a beginning balance of $460.00. After 6 months, the balance in the account has increased to
$465.75. What interest rate is being earned annually on this account?
****************DISCLAIMER****************
might not be right, im pretty sure tho
Answer:
the annual interest return rate is .025 i believe.
Step-by-step explanation:
after 6 months the money increased by 5.75 bucks.
the 6 month return rate was .0175, so double that to get the annual rate.
Rachael walked 214 miles in 15 minutes, and Julie walked 334 miles in 25 minutes. Could you tell me who is faster, please?
Answer:
Rachael is faster.
you can tell by finding the unit amount.
Step-by-step explanation:
I can tell by finding the unit amount. (miles per minute)
Rachael:
214/15 = 14.2666666667 or about 14.27
Julie:
334/25 = 13.36 miles per minute.
for geometry:(
will give brainist to the correct answer!!!
Answer:
y = ⅔x - 5
Step-by-step explanation:
The line that passes through (-3, -7) will have the same slope (m) as the line, 2x - 3y = 24. This is because if two lines that are parallel to each other would have the same slope.
Rewrite 2x - 3y = 24, in the slope-intercept form, y = mx + b.
Thus:
2x - 3y = 24, rewritten would give us y = ⅔x - 8.
The slope of the line, 2x - 3y = 24, is ⅔.
Thus, the slope of the line that is parallel to 2x - 3y = 24, is also ⅔.
To find the equation, substitute a = -3, b = -7, and m = ⅔ into y - b = m(x - a).
Thus:
y + 7 = ⅔(x + 3)
Rewrite to make the equation in slope-intercept form.
Thus:
y + 7 = ⅔(x + 3)
3(y + 7) = 2(x + 3) ---› multiplication property of equality
3y + 21 = 2x + 6 ----› distributive property
3y = 2x + 6 - 21 ----› subtraction property of equality
3y = 2x - 15
y = ⅔x - 5 (division property of equality)
A shirt is advertised for 30% off the list price of $19.00. What is the sale price?
Answer:
$5.70 of so 13.30
Step-by-step explanation:
$5.70 of from the $19 so it would be 13.30
Answer:
The shirt would cost $13.30
Step-by-step explanation:
Divide
[tex]19/100 = .19[/tex]
Take off 30%
[tex]100-30=70[/tex]
Multiply
[tex].19*70= 13.3[/tex]
Given the quadratic 7x2 +6x– 1,
Step-by-step explanation:
7x^2+7x-x-1
7x(X+1) -1(X+1)
(7x-1) (x-1)
X=1/7 , 1
an electronics manufacturer has 175 capacitors and the same
Example 15
Prove that
sin 8 -cos 6 +1 - 1
sin 6+cos - 1 sec - tan
9
using the identity
0
sec?
= 1 + tan?
e.
cos
(
x
)
+
sin
(
x
)
tan
(
x
)
=
sec
(
x
)
The solution is, the simplified value of the expression is, 1.
To simplify the expression, we need the trigonometric identities given:
we know that,
1. cot=1/tan
2. tan=sin/cos
3. sec=1/cos
so, we have,
cot θ sec θ sin θ = 1/tanθ(1/cosθ)sinθ
= (1/(sinθ/cosθ))(1/cosθ)sinθ
= (cosθ / sinθ) (1/cosθ)sinθ
= 1
The expression is equal to 1.
To learn more about trigonometric relations click :
brainly.com/question/14450671
#SPJ7
Xbox 360 and lunzzotoon worth
Answer:
Xbox ONE
Step-by-step explanation:
(and Series X)
Can you help me with this please
Answer:
Hypothesis: If I am at least 16 years and 6 months old
Conclusion: Then I am able to get a provisional license
I hope this helps!
74,830 to the nearest mile
And 54,544 to the nearest mile
Answer:
70,000 50,000
Step-by-step explanation:
just round it. not sure if it right
On the first day, 8 adult tickets were sold and 13 student tickets were sold for a total of $75. On day two, 10 adult tickets were sold and 9 student tickets were sold for a total of $72. What is the cost of an adult ticket? What is the cost of a student ticket?
Step-by-step explanation:
8x + 13y = 75 (×10)
10x + 9y = 72 (×8)
80x + 130y = 750
-) 80x + 72y = 576
58y = 174
y = 3
10x + 9(3) = 72
10x + 27 = 72
10x = 72 - 27
10x = 45
x = 4.5
adult = $4.50
student = $3
12. Let [AB] + [BC] = [AC], and [MN] + [NK] = [MK].
Which points are between two other points?
A) A and M
C) C and K
B) B and M
D) B and N
Pre-Geometry
Is there anyone that can help me with questions 1-16?
Step-by-step explanation:
5x=41.5
5x/5=41.5/5
x=41.5/5
x=8.3cm
1. g - 7 = 15
g = 15 + 7
g = 22
2. t + 4 = 6
t = 6 - 4
t = 2
3. 13 = m - 7
m - 7 = 13
m = 13 + 7
m = 20
4. x + 3.4 = 9.1
x = 9.1 - 3.4
x = 5.7
[tex]5. \: \: n \: - \: \frac{3}{8} \: = \: \frac{1}{8} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: n \: = \: \frac{1}{8} \: + \: \frac{3}{8} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: n \: = \frac{4}{8} = \frac{2}{4} = \frac{1}{2} [/tex]
AHH PLEASE
Solve for x.
x = 1.2 = 3
Enter your answer, as a decimal
There’s nothing you can do about x = 1.2 = 3, because it has two equal signs. You can’t solve an equation that has two equal signs :(
i need the (rate of change____, so the rock is falling___meters per sec) (the initial value,the initial hight)
NEED ANSWER ASAP!! PLEASE AND THANK U SM
Answer:
- 6 m/s
Step-by-step explanation:
The rate of change is a measure of the slope and can be calculated using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (2, 78) and (x₂, y₂ ) = (10, 30) ← 2 points on the line
m = [tex]\frac{30-78}{10-2}[/tex] = [tex]\frac{-48}{8}[/tex] = - 6
Rate of change is - 6 m/s
Nadia is asked to find a number such that the difference between five times the number and three less than twice the number is equal to eighteen. Her work and answer are shown below. 5n−(3−2n)5n−3+2n7n−37nn=====181818213 Is Nadia correct? If not, identify and correct her error.
Answer:
Nadia is incorrect, please check explanations for the correction to her work
Step-by-step explanation:
Here, we want to validate the wok of Nadia
Let the number be n
5 times the number is 5 * n = 5n
Difference between 5n and 3 less than twice the number
3 less than twice the number is 2n-3
So it should be 2n-3 ;
The solution is thus;
5n - (2n-3) = 18
5n - 2n + 3 = 18
3n + 3 = 18
3n = 18-3
3n = 15
n = 15/3
n = 5
Answer:
Nadia is incorrect; she did not translate the given information into an equation properly. The first equation should be 5n−(2n−3)=18.
Step-by-step explanation:
A racquet tennis is on sale for 30% off. Find the original price if the sale price is $21.
Solve the system by substitution 10x-2y=-16 and y=3x
plzzzzzzzzzzzzzzzzzzzzzzzzzzzz helppppppppppppppppppppppppppp
Solve the solution to the inequality below.
-6x-10>26
Answer:
X equals -6
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.Inequality Form
Find the slope of the line that contains (-1,4) and (2,6).
Question 2 options:
2
_
3
3
_
2
5
_
4
-2
_
3
What is the domain of y=sqrtx+7+5
Answer:
c on edge 2020
Step-by-step explanation:
PLEASE ANSWER ASASP FOR BRAINLEST!!!!
The length of each of the two congruent sides of an isosceles triangle is 2n + 7 and the length of the third side is 3n. Write an expression for the length of the triangle’s perimeter.
Answer:
7n+14
Step-by-step explanation:
There are two sides that both measure 2n+7, we need 2 of those
2n+7+2n+7=4n+14
We still have the third side left, 3n.
4n+14+3n
combine like terms
7n+14
At Smith's Bike Rentals, it costs $40 to rent a bike for 8 hours. How many dollars does it cost per hour of bike use?
Answer:
5
Step-by-step explanation:
Hello! Can someone please help me with this 1 questions! thank you so much! (i’ll give brainlist)
Answer:
x = 10 mm is the answer
pls mark me as the brainliest
James and Kevinj are looking at this table of values. James says that the pattern rule is “Start with 3 and add 3.” Kevin says that the pattern rule is “Multiply the term number by 3.” Who is right? Explain. PLEASE ANSWER
Answer:
They are both right
Step-by-step explanation:
Adding 3 and multiplying 3 to the term number is the same thing
There is a bag with only red marbles and blue marbles. The probability of randomly choosing a blue marble is 2/9 . There are 63 marbles in total in the bag and each is equally likely to be chosen. Work out how many red marbles there must be.
Answer:
49 red marbles
Step-by-step explanation:
There is a bag with only red marbles and blue marbles.
We are told in the question that:
The probability of randomly choosing a blue marble is 2/9 . There are 63 marbles in total in the bag
Hence: since
P(Blue marbles) = 2/9
Hence,
The number of blue marbles = 63 ÷ 9
= 7
Hence:
2 × 7/9 × 7 = 14/63
Hence, the number of blue marbles = 14 blue marbles
The number of red marbles bus calculated as:
63 - 14 blue marbles
= 49 red marbles
How long is the drawing of that piece?
Answer:
5 inches
Step-by-step explanation:
Solve for the missing variable. Round your answer to the nearest tenth.
9514 1404 393
Answer:
x = 7
Step-by-step explanation:
We assume the hash marks are intended to indicate both triangles are isosceles. Then the right-end angle of the upper triangle is ...
180° -2(75°) = 30°
Its complement is the supplement of the "missing variable" angle.
90° -30° = 180° -(18x -6)°
18x = 126 . . . . . rearranging (add 18x -60)
x = 7 . . . . . . . . . divide by 18
Wal-Mart sells a case of 24 cans of Diet Coke for $6.88. To the nearest
cent, how much does it cost per can? *
Answer:
$0.29 cents
Step-by-step explanation:
6.88/24 = 0.28666666666 about 0.29
I got this question wrong. I have no idea how to do it. thank you!
Answer:
Aqua: 26.8cm
Purple: 36cm
Step-by-step explanation:
(13.4*4)/2 = 26.8 = aqua2((9*4)/2) = 36 = purple36 + 26.8 = 62.8 = total area