Answer:
1.75x = 35
Step-by-step explanation:
I got a brain bro
A ladder on a fire truck has its base at point B which is 4 metres above the ground. The ladder is extended and its other end rests on a vertical wall at point C, 16 metres above the ground. The horizontal distance between B and C is 9 metres. diagram not to scale 16 В. 4 Find the angle of elevation from B to C. degrees. Х The angle of elevation is
Answer:
53.1°
Step-by-step explanation:
Let x represent the wangle of elevation from B to C
Reference angle = x
Opposite side to x = 16 - 4 = 12
Adjacent = 9
Apply trigonometric ratio to find x.
Thus:
[tex] tan(x) = \frac{12}{9} [/tex]
[tex] x = tan^{-1}(frac{12}{9}) [/tex]
[tex] x= 53.1 [/tex] (nearest tenth)
Angle of elevation from B to C = 53.1°
Which expression is equivalent to 21^3sqrt15 - 9^3sqrt15?
A. 12
B. 30^3sqrt15
C. 12^3sqrt5
D. 12^3sqrt15
Answer:
the answer is D.
Step-by-step explanation:
Since the square: (3√15) is common in both of them, you only focus on 21 and 9. if you subtract 9 from 21, it will give you 12. so, just add (3√15) to 12, which will give you: 12^3sqrt15
Given that kx^2 + hx - 4 = 0 has no roots. Find the ranges of value of k
Answer:
The ranges of value of k are values larger than 0 and lower than 16.
Step-by-step explanation:
Suppose we have a second order polynomial in the following format:
[tex]ax^2 + bx + c = 0, a \neq 0[/tex]
It will have no roots if:
[tex]\Delta = b^2 - 4ac < 0[/tex]
In this question, we have that:
[tex]hx^2 + hx - 4 = 0[/tex]
So, the coefficients are:
[tex]a = h, b = h, c = -4[/tex]
Then
[tex]\Delta < 0[/tex]
[tex]b^2 - 4ac < 0[/tex]
[tex]h^2 - 16h < 0[/tex]
A quadratic function, with a positive(as is 1 in this inequality), will be negative between it's roots.
The roots are:
[tex]h^2 - 16h = 0[/tex]
[tex]h(h - 16) = 0[/tex]
So
h = 0 or h = 16.
The ranes of value of k are values larger than 0 and lower than 16.
question 2, thanks for the help :)
Answer:
the slope of the line passing through (4, 4) and (9, 1) is:
Slope = -3/5
Step-by-step explanation:
Given the points on the graph
(4, 4)(9, 1)Here:
(x₁, y₁) = (4, 4)
(x₂, y₂) = (9, 1)
Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [1 - 4] / [9 - 4]
= -3 / 5
Thus, the slope of the line passing through (4, 4) and (9, 1) is:
Slope = -3/5
help please (multiple choice) i am confused
Answer:
Angle E
Step-by-step explanation:
PLEASE FAST!!!
What is the smallest angle of rotational symmetry that maps a regular 24-sided polygon onto itself?
Enter your answer in the box.
Answer: The smallest angle of rotation is the angle which mas A to E, 72°
Step-by-step explanation:
what is the solution to the equation 5x^2 - 5x - 1 = 0
You only have to answer the last question, number 12 and I will mark brainliest.
A family has two cars. The first car has a fuel efficiency of 20 miles per gallon of gas and the second has a fuel efficiency of 15 miles per gallon of gas. During
one particular week, the two cars went a combined total of 1325 miles, for a total gas consumption of 75 gallons. How many gallons were consumed by each of
the two cars that week?
Answer:
The [tex]20[/tex] mile-per-gallon car consumed [tex]40[/tex] gallons, whereasThe [tex]15[/tex] mile-per-gallon car consumed [tex]35[/tex] gallons.Step-by-step explanation:
Assume that the [tex]20[/tex] mile-per-gallon car consumed all that [tex]75[/tex] gallons of fuel. How far would the cars have travelled?
[tex]20 \times 75 = 1500\; \text{miles}[/tex].
This assumption overestimated the total mileage of the two cars by [tex]1500 - 1325 = 175\; \text{miles}[/tex]. Here's why: for every gallon that the second ([tex]15[/tex] mile-per-gallon) car consumed, this assumption would overestimate the total mileage by [tex]20 - 15 = 5\; \text{miles}[/tex]. Therefore, the overestimation of [tex]175\; \text{miles}[/tex] corresponds to:
[tex]\begin{aligned} & 175\; \text{miles overestimated} \\ & \times \left(\frac{1\; \text{gallon consumed by the second car}}{5\; \text{miles overestimated}}\right)\\ &= \frac{175}{5}\; \text{gallons consumed by the second car} \\ &= 35\; \text{gallons consumed by the second car}\end{aligned}[/tex].
Therefore, the second car consumed [tex]35\; \text{gallons}[/tex]. The first car would have consumed [tex]75 - 35 = 40\; \text{gallons}[/tex].
Verify the results: [tex]40 \times 20 + 35\times 15 = 1325\; \text{miles}[/tex].
7. Carolina surveyed students about their
favorite music. Her results are shown in
the table.
Favorite Music
Music Number of Students
Country
18
Rock
8
Pop
20
Hip Hop
14
Based on the data in the table, what is
the probability that a randomly selected
student prefers hip hop music?
a)
b) 1 / 1
d)
Answer:
[tex]\frac{7}{31} = 0.2258 = 22.58\%[/tex] probability that a randomly selected student prefers hip hop music.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question, we have that:
14 students prefer hip hop music
There are 18 + 8 + 20 + 14 = 62 students
So
[tex]p = \frac{14}{62} = \frac{7}{31}[/tex]
[tex]\frac{7}{31} = 0.2258 = 22.58\%[/tex] probability that a randomly selected student prefers hip hop music.
A shoe store sold 30 pairs of tennis shoes in stock. One week they had a sale and sold 8/10 of the shoes. How many pairs of tennis shoes did they sell that week ? Please give me the answer and the multiplication number model !
Answer:
24
Step-by-step explanation:
simplify 8/10 into 2/5 then 2/5 of 30 is 24
Explain why it makes sense to use a negative number to represent Kirans account balance when he owes money
Answer:
He is in debt money, therefore he has less than 0$ which means he has a negative sum
Step-by-step explanation:
The number on top of the division house is called the quotient.
True
False
Answer:
False
Step-by-step explanation:
The number on top of the division house is called the numerator.
The quotient is the result of the numerator / denominator.
Please mark as Brainliest!!!
Find the simple interest on 5,000 at 8 p.c.p.a. for 219 days.
(A) 320 (B) 240
(C) 160 (D) 80
Answer:
B
Step-by-step explanation:
Average Number of days in year = [(3×365)+ 366]÷4
= 365.25 days per year
If there are 365.25 days in a year,
1 day will be 1/365.25 of a year
Therefore, 219 days will be
219/365.25 of a year
Simple Interest = Principal × Interest Rate× Time
= (5000 × 8 × 219)÷(100×365.25)
= 240
You can buy five cans for green beans at the village market for $2.20 you can buy 10 of the same cans of beans at Sam’s Club for $5.30 which place is better
Answer:
The village market is better than Sam's Club
Step-by-step explanation:
If you buy 5 more cans of green beans at the village, it will cost $4.40 in total. Therefore if you go buy the beans at Sam's club, the village one will be cheaper.
Given the sequence 14, 17, 20, 23,...
a. Find a 10*
the tenth number in the sequnce is 41.
14, 17, 20, 23, 26, 29, 32, 35, 38, 41, 44, etc.
Solve
12 (8 – 4) =
Q 42
o 144
102
48
Dan can spread mulch in 12 hours. If Jessica helps, it takes them
2 hours. Without help, how long would it take Jessica to do this job?
Answer:
uh 14
Step-by-step explanation:
i did really just add 12+2
hope it help :)
3/4 x 8/8 in simplest form
Answer:
3/4
Step-by-step explanation:
8/8=1
3/4 is it.
The volume of a cube is 753.571 cubic yards what is the length of each side
Answer:
9.1
Step-by-step explanation:
cube root of 753.571 is 9.1
Factor f(x)=x2−8x+16
(A) (x−4)2
(B) (x+8)2
(C) (x−8)2
(D) (x+4)2
Answer:
A
Step-by-step explanation:
(x-4)^2 = x^2 -4x -4x + (-4)*(-4)
= x^2-8x+16 as required
simplify 9 (3x - 1) + 2x.
Answer:
9 (5x-1)
Step-by-step explanation:
you have to add 3x and 2x
Answer:
29x-9
Step-by-step explanation:
9(3x)-9(1)+2x
27x - 9 + 2x
27x+2x=29-
29x-9
The table shows how many slices of cake were sold during the week. Each slice of cake is equivalent to 116 of a cake. Determine if each statement is true by selecting Yes or No. Table showing the number of cake slices sold each day. Monday, eighty slices. Tuesday, one hundred twenty slices. Wednesday, one hundred slices. Thursday, one hundred forty slices. A On Monday, the restaurant made 8 cakes and will have 3 left over because −116(80)=−5. Yes No B On Tuesday, the restaurant only needed 7 cakes because −116(120)=−712. Yes No C On Wednesday, the restaurant made 7 cakes and will have 34 of a cake left over because −116(100)=−6.25. Yes No D On Thursday, the restaurant made 8 cakes and will have 34 of a cake left because −116(110)=−8.75. Yes No brainiest
Answer:
yes
no
yes
no
hope this helps
Answer:
1. Yes
2. No
3.Yes
4.No
Step-by-step explanation:
I did the test and got it right!
Determine whether the given relation is an implicit solution to the given differential equation. Assume that the relationship does define y implicitly as a function of x and use implicit differentiation.
y- lny= x^2+1 , dy/dx= 2xy/y-1
Answer:
See explanation below
Step-by-step explanation:
Given the expression
y- lny= x^2+1
Differentiate implicitly with respect to x
dy/dx - 1/y dy/dx = 2x+0
Factor out dy/dx
dy/dx (1 - 1/y) = 2x
dy/dx (y-1/y) =2x
Cross multiply
dy/dx (y-1) = 2xy
Divide both sides by y-1
dy/dx (y-1)/y-1 = 2xy/y-1
dy/dx = 2xy/y-1
Hence the given relation is an implicit solution to the given differential equation
-x is 5 units to the right of 0.
Use the drop-down menus to complete the statement about x.
x is () units to the () of 0
Answer:
-x=5 so x=-5 so x is 5 units to the left of 0
Step-by-step explanation:
Answer:
X=x is 13 units to the left of 0.
Use the drop-down menus to complete the statement about −x.
CLEAR CHECK
−x is
units to the
of 0.
Step-by-step explanation:
HELP PLZ
A crowd-funding project has received $16,770, which is $1230 less than 90% of the goal amount. What is the goal amount?
Answer:
fgvgfvvfgfvgv
Step-by-step explanation:
Sally earns $9.56 per hour. What is her overtime pay at time-and-a-half?
y=$1.25x + $5.00 what is the total cost of service for the month if you stream 5 videos
Answer: $11.25
Step-by-step explanation:
Answer:
$11.25
Step-by-step explanation:
I assume that x = the 5 videos streamed
5*1.25=6.25
6.25+5 =11.25
y=$11.25
Find the required weekly payment into a sinking fund needed to accumulate $35,000 in 15 years by making weekly deposits into an account at 4.25% compounded weekly
.
Answer:
$32.10
Step-by-step explanation:
The amount to be accumulated in 15 years is the future value of the sinking fund, hence, using the future value formula below, we can determine the required weekly payment as appropriate:
Future value=weekly payment*(1+r)^n-1/r
Future value=$35,000
weekly payment is the unknown
r=weekly interest rate=4.25%/52=0.08173077% ( I use 8 decimal places in order to achieve accuracy)
n=number of weekly payments in 15 years=15*52=780
35000=weekly payment*(1+0.08173077% )^780-1/0.08173077%
35000=weekly payment*(1.89125311 -1)/0.000817308
35000=weekly payment*0.89125311 /0.000817308
weekly payment=35,000*0.000817308 /0.89125311
weekly payment=$32.10
The average price of a gallon of gas in California is 160% the national average. If the national average is $2.60, what is the average price of a gallon of gas in California?
Answer:
4.16
Step-by-step explanation:
160%=1.6
1.6 times 2.6 =4.16