Answers
Step-by-step explanation:
We know that angles on a straight line add up to 180, so:
5x+5+5x+5=180
Simplify
10x+10=180
Solve
Take away 10 from both sides
10x=170
Divide 170 by 10
x = 17
Related Questions
A stone is launched into the air from a height of 240 feet. The height, h, of the stone, in feet, t seconds after launch is given by
the formula h = 16t^2 + 32t+ + 240. After how long will the stone hit the ground?
Answers
A projectile is an object launched into space, and moving under the influence of gravity and momentum. The stone here is an example. Thus, the time taken for the stone to reach the ground is 10 seconds.
On launching of the stone into space, it behaves as a projectile. Thus moving under the influence of gravity and its momentum. Its momentum is the product of its mass and velocity.
The height h, is given as:
h = 16[tex]t^{2}[/tex] + 32t + 240
Differentiating the expression with respect to t, we have;
32t + 32 = 0
t = -1 seconds
Substitute the value of time, t, in the equation for the height;
h = 16 - 32 + 240
= 224
h = 224 m
Total height, S = 240 + 224
= 464
S = 464 m
The total height covered by the stone is 464 m.
From the second equation of free fall,
S = Ut + [tex]\frac{1}{2}[/tex]g[tex]t^{2}[/tex]
S = [tex]\frac{1}{2}[/tex]g[tex]t^{2}[/tex]
464 = [tex]\frac{1}{2}[/tex]*9.8*[tex]t^{2}[/tex]
[tex]t^{2}[/tex] = [tex]\frac{928}{9.8}[/tex]
= 94.694
t = [tex]\sqrt{94.694}[/tex]
= 9.7311
t ≅ 10 seconds
The time taken for the stone to hit the ground is 10 seconds.
Thus option A is the required answer.
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Two sides of a triangle measure 10 feet and 14 feet. Which
inequality shows the possible lengths for the third side, x?
Answers options:
10 ≤ x ≤ 14
4 ≤ x ≤ 24
10 < x < 14
4 < x < 24
Answers
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The third side of the Triangle should be greater than the difference of other two sides, so
[tex]x > 14 - 10[/tex][tex]x > 4[/tex]And, The third side should be less than the sum of other two sides that is ~
[tex]x < 14 + 10[/tex][tex]x < 24[/tex]Considering these two inequalities, we get ~
[tex]4 < x < 24[/tex]plz help with this!!!
Answers
Answer:50
Step-by-step explanation:
Write in word form: 5,278.081
Answers
Answer:
.............................
Emilia waited 11 minutes for the bus today. That is 4 minutes less than she waited yesterday. How long did Emilia wait for the bus yesterday?
Answers
11 minutes + 4 minutes more yesterday = 15 total minutes
Answer: 15 minutes
Answer:
Emilia waited 11 minutes wich was 4 minutes earlier so 11+4 because it was 4 miutes earlier so 11 minutes + 4 minutes = 15 minutes so this means Emilia wait 15 minutes for the bus yesterday
Step-by-step explanation:
Lucas invests $2000 per year in his retirement account for 40 years in an investment with an average annual return of 10%. Approximately how much will he have after 40 years?
A.$88,000
B.$176,000
C.$312,000
D.$975,000
Answers
The amount Lucas would have in his account is $885,000.
The formula that would be used to determine the amount of money Lucas would be in 40 years is:
The formula for calculating future value = A x annuity factor
Annuity factor = {[(1+r)^n] - 1} / r
Where:
A = amount invested each year = $2000r = interest rate = 10%n = number of years = 40 years$2000 x [(1.1^40 - 1) / 0.1] = $885,000
To learn more about future value, please check: https://brainly.com/question/14640433
help me w differentiation
Answers
Answer:
4 better inbox
Step-by-step explanation:
Which element should be used to help clarify a complicated idea in a text? (1 point) O a new topic O a bibliography O a visual O a research question w
Answers
The element which should be used to help clarify a complicated idea in a text is ; A research question.
According to the question;
We are required to determine which element should be used to help clarify a complicated idea in a text.A research question is the best fit which should be used to help clarify a complicated idea in a text.
This is so because; a research question provides a basis for accessing all perspectives there is to the complicated idea.
Read more:
brainly.com/question/18675306
Answer:
D
Step-by-step explanation:
how is this math? 0-0
Please answer and explain
Answers
Answer:
Step-by-step explanation:
(fog)(x) = f[g(x)]
(fog)(x) = f[(4/x - 5)]
(fog)(x) = 1 / ((4/x - 5) - 9)
(fog)(x) = 1 / (4/x - 14)
(gof)(x) = g[f(x)]
(gof)(x) = g[1/(x - 9)]
(gof)(x) = (4/ 1/(x - 9)) - 5
(gof)(x) = (4•(x - 9)/1) - 5
(gof)(x) = (4x - 36) - 5
(gof)(x) = 4x - 41
What price do farmers get for their watermelon crops? In the third week of July, a random sample of 40 farming regions gave a sample mean of x bar = $6.88 per 100 pounds of watermelon. Assume that is known to be $2.00 per 100 pounds. (a) Find a 90% confidence interval for the population mean price (per 100 pounds) that farmers in this region get for their watermelon crop (in dollars). What is the margin of error (in dollars)? (For each answer, enter a number. Round your answers to two decimal places.) lower limit $ upper limit $ margin of error $ (b) Find the sample size necessary for a 90% confidence level with maximal error of estimate E = 0.29 for the mean price per 100 pounds of watermelon. (Enter a number. Round up to the nearest whole number.) farming regions (c) A farm brings 15 tons of watermelon to market. Find a 90% confidence interval for the population mean cash value of this crop (in dollars). What is the margin of error (in dollars)? Hint: 1 ton is 2000 pounds. (For each answer, enter a number. Round your answers to two decimal places.) lower limit $ upper limit $ margin of error $
Answers
BBCdfinancial
Answer:
antiquarian
Step-by-step explanation:
Spanish civic
How would you make this a fraction 1.67+2.82=__/__
Answers
Answer:
449/100
Step-by-step explanation:
1.67 + 2.82 = 4.49
4.49 = 4(0.01) + 49(0.01) = 449(0.01)
Multiplying 449 by 0.01 is the same as dividing 449 by 100
4.49 as fraction = 449/100
-Chetan
What is the simplified form of the fraction below?
30
*
O A.
OB.
C.
olo
D.
لا اعر
Answers
Answer:
A. 30÷6 = 5
24÷6=4
=4/5.
Step-by-step explanation:
sssssssssssssssssssssss
Ms. McCullough bought a bunch of bananas. If she ate 2/8
the bananas and Mrs. Byrd ate 1/4, what fraction of bananas
remains?
Answers
Answer:
1/2
Step-by-step explanation:
that's the answer because 2/8-1/4 is 1/2
In which quadrant does the point (13 , -6) lie?
A.
Quadrant III
B.
Quadrant I
C.
Quadrant IV
D.
Quadrant II
Answers
Answer:
C
Step-by-step explanation:
i hope you'll find these useful......
Answer:
C, quadrant IV
Step-by-step explanation:
The X (13) is positive meaning the point is on the right side of the graph, and Y (-6) is negative so it's below the x axis
Pre college need help
Answers
Answer:
sorry I can't answer that because I need points very3× sorry
how do you do 4 3/16 + 1 1/10?
Answers
Answer:
5 23/80
Step-by-step explanation:
First, you need to find the least common multiple of 16 and 10 to add the fractions. The LCM of 16 and 10 is 80. You have to multiply 5 to 16 to get 80 and 8 to 10 to get 80, so you also multiply the numerator by those numbers. In the end you would get 4 15/80+1 8/80, which equals 5 23/80.
A pair of sunglasses is on sale 30% off. if the original cost of the sunglasses are $18, what is the sale price now?
Answers
Answer:
12.60
Step-by-step explanation:
I don't feel like explaining it, since I'm not good at giving detail sorry <3
Please help me I need to turn this in very soon
Answers
Answer:
1331/3375
Step-by-step explanation:
(11/15) ^3 = (11*11*11)/(15*15*15) =1331/3375
In a recent year, 32.4% of all registered doctors were female. If there were 47,400 female registered doctor that year, what was the total number of registered doctors?
Answers
Answer:
come, seamen or even spherm
Step-by-step explanation:
basically when the male and female get involved in sexual activity it creates a child through sperm and egg interaction. the fastest sperm wins the race and 68.6% of them are male doctors
Question 1
2 pts
A game uses a single 6-sided die. To play the game, the die is rolled one time, with the
following results:
• Even number = lose $7
1 or 3 = win $2
5 = win $8
.
.
Answers
Answer:
sorry 400
Step-by-step explanation:
On a map, 1 inch equal 11.7 miles. If two cities are 2.5 inches apart on the map, how far are they actually apart?
Answers
Answer:
29.25 miles
Step-by-step explanation:
We can use a ratio to solve
1 inch 2.5 inches
------------ = ----------------
11.7 miles x miles
Using cross products
1 * x = 11.7 * 2.5
x =29.25
if a triangle perimeter=150cm, side A=86cm, side B=50cm, then side C=__.
Answers
Answer:
150-86-50=14cm
Step-by-step explanation:
Answer:
C=14cm
150-86-50= 14
Step-by-step explanation:
Select all the statements that show correct reasoning for finding 14/15÷7/5 Group of answer choices Multiplying 1415 by 5 and then by 17. Multiplying 1415 by 5 and then dividing by 7. Dividing 1415 by 5, and then multiplying by 17. Multiplying 1514 by 7 and then dividing by 5. Multiplying 14/15 by 7 and then multiplying by 15.
IF YOUR ANSWER IS INCORRECT OR BS I WILL GIVE YOU 0 STARS AND TAKE MY POINTS BACK!!!!!
Answers
Answer:
Option BStep-by-step explanation:
Correct way of dividing fractions:
14/15 ÷ 7/5 = 14/15 × 5/7Answer choices
A) Multiplying 14/15 by 5 and then by 17. FALSEB) Multiplying 14/15 by 5 and then dividing by 7, TRUEC) Dividing 14/15 by 5, and then multiplying by 17. FALSED) Multiplying 15/14 by 7 and then dividing by 5. FALSEE) Multiplying 14/15 by 7 and then multiplying by 15. FALSELet's see
[tex]\\ \sf\longmapsto \dfrac{14}{15}\div \dfrac{7}{5}[/tex]
[tex]\\ \sf\longmapsto \dfrac{14}{15}\times \dfrac{5}{7}[/tex]
[tex]\\ \sf\longmapsto \dfrac{70}{105}[/tex]
[tex]\\ \sf\longmapsto \dfrac{2}{3}[/tex]
Adult tickets to the fall play cost $8 and student tickets cost $4 . The drama class sold 30 more adult tickets than student tickets to the fall play. If the class collected $840 from ticket sales, how many adult tickets were sold?
The drama class sold blank adult tickets.
Answers
Answer:
60 adult tickets were bought.
Step-by-step explanation:
9514 1404 393
Answer:
80 tickets
Step-by-step explanation:
Let 'a' represent the number of adult tickets sold. Then a-30 is the number of student tickets sold. The total revenue is ...
8a +4(a -30) = 840
12a -120 = 840 . . . . . . eliminate parentheses
a -10 = 70 . . . . . . . . . divide by 12
a = 80 . . . . . . . . . . . add 10
The drama class sold 80 adult tickets.
__
Check
The number of student tickets was 30 less, so 50 student tickets. The total revenue was ...
50($4) +80($8) = $200 +640 = $840 . . . . as required
What is the equation of the line that passes through the point (2, -6) and
has a slope of – 3/2
-
-
Answers
y= -3/2x - 3
putting them firstly in the point slope formula and then distributing ...... I can't really explain what I did so here is the picture
Help please!!!!!!!!!!!!!!
Answers
Answer:
Negative
Step-by-step explanation:
Slope is negative since as x increases, y decreases.
A boat is moored at a dock, as shown in the figure.
What is the length of rope A?
Note: The triangle formed is a right triangle.
8.3 ft
10.5 ft
12.3 ft
8.6 ft
Answers
12.3
Explanation
cos35=Side adjacent to 35/hypotenuse
=0.81915204428=A/15
A=0.81915204428x15
A=12.2872806642
12.3ft
Answer:
12.3
Step-by-step explanation:
i took the quiz
Miles is 33 year old and single in 2020 his only income consisted of $10500 in wages what is the maximum amount he can contribute to a traditional ira for 2020
Answers
Answer:
$6,000
Step-by-step explanation:
$6,000 Because miles younger than 50
Need help with 17 pre college
Answers
What is the Nth term rule of the Quadratic sequence -5 -4 -1 4 11 20 31
Answers
Step-by-step explanation:
an = A×n² + B×n + C
a1 = -5 = A×1² + B×1 + C = A + B + C
a2 = -4 = A×2² + B×2 + C = 4A + 2B + C
a3 = -1 = A×3² + B×3 + C = 9A + 3B + C
a2 - a1 = -4 - -5 = 1 = 4A+2B+C-A-B-C = 3A + B
3A = 1 - B
A = (1 - B)/3
a3 - a2 = -1 - -4 = 3 = 9A+3B+C-4A-2B-C = 5A + B
3 = 5A + B = 5(1 - B)/3 + B
9 = 5(1 - B) + 3B = 5 - 5B + 3B = 5 - 2B
4 = -2B
B = -4/2 = -2
A = (1 - -2)/3 = (1 + 2)/3 = 3 / 3 = 1
-5 = A+B+C = 1 - 2 + C = -1 + C
-4 = C
so,
an = n² - 2n - 4