Answers
Answer:
x = 29
Step-by-step explanation:
The three angles add to 90 degrees
x+3 + x-1 + x+1 = 90
Combine like terms
3x +3 = 90
Subtract 3 from each side
3x+3-3 = 90-3
3x = 87
Divide by 3
3x/3 = 87-3
x = 29
Answer:
x = 29
Step-by-step explanation:
The 3 angles sum to 90° , that is
x + 3 + x - 1 + x + 1 = 90
3x + 3 = 90 (subtract 3 from both sides )
3x = 87 ( divide both sides by 3 )
x = 29
Related Questions
Hank has to drain his pool so repairs can be done on a crack on the bottom. The company coming to fix the pool is scheduled to arrive at 2:00 PM. They asked Hank to be sure to have his pool drained before they arrive. It is currently 8:00 AM Will Hank have the pool drained in time? The dimensions of the pool are 2m deep, 10m long, and 8m wide. Water can be drained at a rate of 130 gallons per minute.
Answers
Answer:
The answer to the question: "Will Hank have the pool drained in time?" is:
Yes, Hank will have the pool drained in time.Step-by-step explanation:
To identify the time Hank needs to drain the pool, we can begin with the time Hank has from 8:00 AM to 2:00 PM in minutes:
Available time = 6 hours * 60 minutes / 1 hour (we cancel the unit "hour")Available time = 360 minutesNow we know Hank has 360 minutes to drain the pool, we're gonna calculate the volume of the pool with the given measurements and the next equation:
Volume of the pool = Deep * Long * WideVolume of the pool = 2 m * 10 m * 8 mVolume of the pool = 160 m^3Since the drain rate is in gallons, we must convert the obtained volume to gallons too, we must know that:
1 m^3 = 264.172 galNow, we use a rule of three:
If:
1 m^3 ⇒ 264.172 gal160 m^3 ⇒ xAnd we calculate:
[tex]x = \frac{160 m^{3}*264.172 gal }{1m^{3} }[/tex] (We cancel the unit "m^3)x = 42267.52 galAt last, we must identify how much time take to drain the pool with a volume of 42267.52 gallons if the drain rate is 130 gal/min:
Time to drain the pool =[tex]\frac{42267.52gal}{130\frac{gal}{min} }[/tex](We cancel the unit "gallon")Time to drain the pool = 325.1347692 minutesTime to drain the pool ≅ 326 minutes (I approximate to the next number because I want to assure the pool is drained in that time)As we know, Hank has 360 minutes to drain the pool and how it would be drained in 326 minutes approximately, we know Hank will have the pool drained in time and will have and additional 34 minutes.
Which graph shows the solution to the system of linear inequalities?
y < 2x - 5
y> -3x + 1
Is it this one?
Answers
Step-by-step explanation:
The given system of inequalities are :
y < 2x - 5 ...(1)
y> -3x + 1 ....(2)
For equation (1),
When x = 0, y<-5
For equation (2),
When x = 0, y>1
The attached figure shows the graph of the given inequalities.
Which statement about correlation and causation is true?
1. Correlation cannot occur without causation.
2. Correlation and causation are always unrelated.
3. Causation implies correlation.
4. Correlation implies causation.
Answers
Answer:
it is number 1
Step-by-step explanation:
i asked my teacher
Answer: 3 or 4, this question isnt exactly possible to answer
Step-by-step explanation:
Look at the graph of the given relation. Determine whether the relation is a function. Explain why or why not.
(4.2, 6.2), (-0.8, 6.2), (-3.8, 4.2), (-3.8, -1.8)
Answers
Answer:
Step-by-step explanation:
The relation is not a function!
Please answer it i need this
Answers
Answer: The first choice
Step-by-step explanation:
How many televisions do the families in your neighborhood own.
A statistical questions means you expect multiple responses.
Non statistical questions are those that u can answer with a defintine answer and only require gatbering of little data
Have a nice day
4x²+6X+9
Factorizar
Answers
not factorable
2x(2x+3)+9
That’s the only the factorization which is available so i hope this answers your question and with you the best!!
What are equivalent statements to a + 3 = 18 and 4 ∙ b = 32?
Answers
Answer:
a=18-3 and b=32÷8
Step-by-step explanation:
the first one
Find the range of 45, 38, 47, 42, 40, 47
Answers
The smallest number here is 38 ans the largest is 47.
47-38= 9
The range js 9, hope that helps!
Use technology to find the line of best fit for the following data.
(1, 0), (2, 3), (3,1), (4,4), (5,5)
When the equation of the line is in the form y=mx+b, what is the value of **b**?
Enter your answer as a decimal rounded to the nearest tenths place, like this: 42.5
Answers
Given:
The data points are:
(1, 0), (2, 3), (3,1), (4,4), (5,5)
To find:
The equation of best fit line in the form of [tex]y=mx+b[/tex] and then find the value of b.
Solution:
The general form of best fit line is:
[tex]y=mx+b[/tex] ...(i)
Where, m is the slope of best fit line and b is the y-intercept of the line.
Using the graphing calculator, we get the equation for the best fit line and the equation is
[tex]y=1.1x-0.7[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]b=-0.7[/tex]
Therefore, the value of b is equal to -0.7.
Edwin is an insurance broker. Yesterday, he sold the Fredericks family a $425,000 insurance policy. And he also sold the Guthrie family a $379,000 insurance policy. If Edwin gets a 2.35% commission for all his sales. How much commission did he get paid for these two policies he sold?
Answers
Answer:
425000×0.0235=9987.5
379000×0.0235=8906.5
9987.5+8906.5=18894 that is the amount he gonna get
Evaluate the function f(x) = 3x2− 2x for x= 4.
The value of the function f(x) = 3x2− 2x for x= 4 is _ .
Answers
Answer:
40
Step-by-step explanation:
f(4) = 3(4²) - 2(4)
= 3(16) - 8
= 48 - 8
= 40
when x=4, f(x) = 40
Find the diameter, given the circumference of a circle is 40.035 cm.
Answers
Answer:
12.75
Step-by-step explanation:
c = π x d
40.035= 3.14 x d
40.035/3.14 = 12.75
Translate; a)A man's age 2 years ago b) the product of y and z
Answers
Step-by-step explanation:
a. represent the man's current age by n. Two years ago his age was n - 2.
b. Multiplication of n by the product of y and z would be (y×z)×n.
WILL GIVE BRAINLIST
MATH
WRITE THE SEQUENCE AS AN EQUATION USE X TO REPRESENT “ a number “
Six times the difference of 11 and a number is -72.
Answers
6×11-x= -72
Step-by-step explanation:6×11-x= -7266-x= -72-x= -72-66-x=-138x=138checking:6×11-138= -7266-138= -72-72= -72hope you understood it please mark me as brainliest
Rewrite in simplest rational exponent form √x • 4√x
Answers
Answer:
4x
Step-by-step explanation:
[tex]\sqrt{x} \cdot \sqrt{x} = \sqrt{x^2} = x^{ 2 \times \frac{1}{2}} = x[/tex]
[tex]given :\\\\ \sqrt{x} \cdot 4\sqrt{x} = 4 \cdot\sqrt{x} \sqrt{x} = 4 \sqrt{x^2} = 4x[/tex]
Pls need help in test
A fruit stand has to decide what to charge for their produce. They charge $8 for 4 apples and 4 oranges. They also charge $10 for 6 apples and 4 oranges. If we put this information into a system of linear equations, can we find a unique price for an apple and an orange?
A. Yes; they should charge $1.00 for an apple and $1.50 for an orange.
B. Yes; they should charge $1.00 for an apple and $1.00 for an orange.
C. No; the system has many solutions.
D. No; the system has no solution.
Answers
i think its C.No;the system has many solución
Answer:
thanks the quark is w wl1pp39iejbs sthe akwyve s akw9u27 2babe
According to a 2016 survey, 6 percent of workers arrive to work between 6:45 A.M. and 7:00 A.M. Suppose 300 workers will be selected at random from all workers in 2016. Let the random variable W represent the number of workers in the sample who arrive to work between 6:45 A.M. and 7:00 A.M. Assuming the arrival times of workers are independent, which of the following is closest to the standard deviation of W?
A. 0.24
B. 4.11
C. 4.24
D. 16.79
E. 16.92
Answers
Answer: B. 4.11
Step-by-step explanation:
Using Binomial distribution ( as the arrival times of workers are independent).
Formula for standard deviation: [tex]\sqrt{{p(1-p)}{n}}[/tex], where p= population proportion, n= sample size.
As per given ,
p= 0.06, n=300
Required standard deviation= [tex]\sqrt{0.06\left(1-0.06\right)300}[/tex]
[tex]=\sqrt{(0.06)(0.94)(300)}\\\\=\sqrt{16.92}\approx4.11[/tex]
Hence, the correct option is B.
A rectangle has horizontal sides of 3(x-2)ft and vertical sides of 4x-7+(-2x)ft. Find the value of x so that the rectangle of x has a perimeter of 34 ft.
Answers
Answer:
x = 6
Step-by-step explanation:
Perimeter of the rectangle = 34 ft
Length of the rectangle = 3(x-2) ft
Width of the rectangle = 4x-7+(-2x) ft
= 4x - 7 - 2x
= 2x - 7 ft
Perimeter of a rectangle = 2(length + width)
34 = 2{3(x-2) + 2x - 7 }
34 = 2{3x - 6 + (2x - 7)}
34 = 2(3x - 6 + 2x - 7)
34 = 2(5x - 13)
34 = 10x - 26
34 + 26 = 10x
60 = 10x
x = 60/10
x = 6
Length of the rectangle = 3(x-2) ft
= 3(6 - 2)
= 3(4)
= 12 ft
Width of the rectangle = 2x - 7 ft
= 2(6) - 7
= 12 - 7
= 5 ft
pls help me wit this asap
Answers
Answer:
not sure but I think the answers c
Simplify the expression. –(10)–2
100
–100
Answers
Answer:
-12, 0
Step-by-step explanation:
¿En que orden se deben escribir las funciones, para aplicar la integral definida cuando se desea calcular el área?
Answers
Answer:
Si querés calcular el área entre las funciones f(x) y g(x) en el rango (a, b), usualmente se calcula la integral de la función más grande en el intervalo menos la función más pequeña en el intervalo, es decir, si:
f(x) > g(x) para todo x ∈ (a, b)
Entonces calculamos:
[tex]\int\limits^b_a {(f(x) - g(x))} \, dx[/tex]
Puesto que el área se define como la encerrada por las dos curvas, y si lo hiciéramos de otro modo, las curvas no encerrarían ningun área.
Ahora, si no se cumple lo anterior, es decir, g(x) > f(x) en algún dado intervalo, entonces separamos la integral en distintas partes de tal forma que siempre definamos un área positiva.
es decir, si:
f(x) ≥ g(x) para x ∈ (a, n)
g(x) ≥ f(x) para x ∈ (n, b)
entonces el área estará dada por:
[tex]\int\limits^n_a {f(x) - g(x)}dx \, +\int\limits^b_n {g(x) - f(x)} \, dx[/tex]
Solve for X. Answer as a decimal.
Answers
Answer:
2
Step-by-step explanation:
PLEASE HELP FAST WILL GIVE BRAINLIEST!!!!!!!!
Answers
Answer:
D. 32
Step-by-step explanation:
hope this helps
A rectangular dog pen is constructed using a barn wall as one side and 63 m of fencing for the other three sides what is the maximum area of the dog pen
Answers
A javelin thrower is running at 7mph and throws her javelin at 18mph at an angle of 13o with the horizontal. Determine the resultant speed and direction of the javelin. i need the magnitude and the direction !!! HELP WILL MARK BRALIEST
Answers
Magnitude: 24.93 mph
Direction: 9.37°
A javelin thrower throws her javelin at an angle of 13o
cos13°=v1/18
v1=cos13° * 18= 17.54mph
v=v1+7
17.54+7=24.54 mph
sin13°=v2/18
v2=sin13° * 18= 4.05mph
tan ∅ =v2/v=0.165
∅ =9.37°
cos ∅ =v/v3
v3=24.54/cos 9.37=24.93
What is the formula for resultant speed?
Multiply the acceleration by the time the object is being accelerated. For example, if an object falls for 3 seconds, multiply 3 by 9.8 meters per second squared, which is the acceleration from gravity. The resultant velocity in this case is 29.4 meters per second.
How do you find the resultant direction?join the tail of the first vector with the second vector's head and put the arrowhead. To determine the magnitude, measure the length of the resultant R, and find out the direction.
Learn more about resultant force:https://brainly.com/question/14626208
#SPJ2
Question 30 of 44
Need help ASAP
Answers
Answer:
Sorry but where r the questions
Step-by-step explanation:
Substitute w = 4 into the following expression
10 – 4w
Answers
Answer:
-6
Step-by-step explanation:
Substitute as in replace "w" with 4
10-4(4)
Multiply -4 and 4
-16
10-16=-6
Hope this helps
Answer:
-6 it wouldnt let me post this without having 20 letters in my answer
Step-by-step explanation:
10 - 4*4 = -6.
The national park has a new kiosk which visitors pass through as they enter the park. The kiosk is in the shape of a cylinder with a diameter of 5 meters and a height of 3 meters and a conical roof that measures 2 meters in height. What is the volume of the kiosk? Round your answer to the nearest cubic meter.
Answers
Given:
Kiosk is the combination of a cylinder and a cone.
Diameter of cylinder and cone = 5 m
Height of the cylinder = 3 m
Height of the cone = 2 m
To find:
The volume of the kiosk.
Solution:
We know that the radius is half of the diameter. So,
Radius of cylinder and cone = [tex]\dfrac{5}{2}[/tex] m
= [tex]2.5[/tex] m
Volume of the cylinder is:
[tex]V_1=\pi r^2h[/tex]
Where, r is the radius and h is the height of the cylinder.
Putting [tex]\pi =3.14, r=2.5, h=3[/tex] in the above formula, we get
[tex]V_1=(3.14)(2.5)^2(3)[/tex]
[tex]V_1=(3.14)(6.25)(3)[/tex]
[tex]V_1=58.875[/tex]
Volume of a cone is:
[tex]V_2=\dfrac{1}{3}\pi r^2h[/tex]
Where, r is the radius and h is the height of the cone.
Putting [tex]\pi =3.14, r=2.5, h=2[/tex] in the above formula, we get
[tex]V_2=\dfrac{1}{3}(3.14)(2.5)^2(2)[/tex]
[tex]V_2=\dfrac{1}{3}(3.14)(6.25)(2)[/tex]
[tex]V_2\approx 13.083[/tex]
The volume of the kiosk is the sum of volume of cylinder and the volume of cone.
[tex]V=V_1+V_2[/tex]
[tex]V=58.875+13.083[/tex]
[tex]V=71.958[/tex]
[tex]V\approx 72[/tex]
Therefore, the volume of the kiosk is 72 cubic meter.
22 dividido en 3 es?
Answers
Answer:
Step-by-step explanation:
7.3
Answer:
7.3
Step-by-step explanation:
22/3 = 22/3
(Decimal: 7.333333)
find the area of the irregular figure. 4 in. 7in. 5in. 3in. 4in. 9in.
Answers
Answer:
79 sq in
Step-by-step explanation:
cut it into separate shapes then add the areas of each individual
(4 x 3) + (13 x 4) + (3 x 5)