pipefitter must connect two pipes as shown. The run is 35 feet while the set is 23 feet. How long a pipe will he need, C, and what will be the connecting angles, "a" and "b"? Round to the nearest hundredth. Enter your answers in the order: C, a, b.
The attached picture was omitted from the question.
Answer:
C = 41.88 feet
a = 33.1°
b = 56.9°
Step-by-step explanation:
From the diagram, we have a right angle triangle.
C = hypotenuse
C = sqrt(35^2 + 23^2)
C = sqrt(1225 + 529)
C = sqrt(1754)
C = 41.88 feet
The connecting Angles:
Angle 'a'
Using tan = opposite / Adjacent
Tan a = 23 / 35
tan a = 0.6571428
a = tan^-1 (0.6571428)
a = 33.1°
Angle 'b' :
Sum of angles in a triangle = 180
a + b + 90 = 180
33.1 + b + 90 = 180
b + 123.1 = 180
b = 180 - 123.1
b = 56.9°
Decide whether the primary or secondary data is most suited for the hypothesis below. The number of cars that drive past your house on Monday morning is more than on Tuesday morning is it PRIAMRY OR SECONDARY???????
Answer:
Primary source
Step-by-step explanation:
This is because it says "your" house, it means that you are the one looking and counting at the number of cars.
If this was not said "your", there is a higher chance that it is a secondary source, but in this case, it is a primary source.
Its Primary source
HOPE IT HELPS
help me.........................
Answer:
86°solution,
Draw a line RM parallel to line PQ and ST .And the line RM divides the angle W in two part .i.e x° and y°
<w=X+y
If RM is parallel to ST then,
<MRT=<SRT (being alternate angles)
<X=34°
If RM is parallel to PQ then,
<PQR=<MQR( being alternate angles)
52°=y
y=52°
now,
w=X+y
=34° +52°
=86°
Hope this helps...
Good luck on your assignment..
The tape diagram represents an equation. Write an equation to represent the image.
Answer:
5n = 1.75
Step-by-step explanation:
The 2 bars are equal thus lower equals upper, that is
5n = 1.75
What is the distance between (-6, 4)(−6,4)left parenthesis, minus, 6, comma, 4, right parenthesis and (-8, 6)(−8,6)left parenthesis, minus, 8, comma, 6, right parenthesis? Choose 1 answer: Choose 1 answer: (Choice A) A 222 (Choice B) B 333 (Choice C) C \sqrt{4} 4 square root of, 4, end square root (Choice D) D \sqrt{8} 8
Answer:
D. [tex]\sqrt{8}[/tex]
Step-by-step explanation:
We want to find the distance between (-6, 4) and (-8, 6).
First, we find the difference:
d = (-8 - (-6), 6 - 4)
d = (-8 + 6, 2)
d = (-2, 2)
We now find the magnitude:
[tex]|d| = \sqrt{x^2 + y^2}[/tex]
where x = x coordinate, y = y coordinate
[tex]|d| = \sqrt{(-2)^2 + (2)^2} \\\\|d| = \sqrt{4 + 4} = \sqrt{8}[/tex]
The answer is Choice D.
Answer:
D
Step-by-step explanation:
Khan said it was correct :)
Issa knows that ΔRED ≅ ΔTAN by the SSS theorem. She then concluded that ∠R ≅ ∠T. What reason can she use as a justification? a CPCTC b vertical angle theorem c alternate interior angles d None of these choices are correct.
Answer:
(A)CPCTC
Step-by-step explanation:
Issa knows that ΔRED ≅ ΔTAN by the SSS theorem.
If two triangles are congruent, their corresponding parts will always be congruent. In fact, their corresponding angles will be equal.
Therefore, Issa concluded that ∠R ≅ ∠T by the fact that Corresponding Parts of Congruent Triangles are Congruent (CPCTC).
The correct option is A.
Similarly, we can also conclude that:
∠E ≅ ∠A; and∠D ≅ ∠Nwrite 109 as a decimal.
——
50
Answer:
Hello there!
~~~~~~~~~~~~~~~~~~~~~~`
Convert the fraction to a decimal by dividing the numerator by the denominator.
[tex]109 / 50 = 2.18[/tex]
Hope this helped you. Brainliest would be nice!
HELP ME PLEASE PLEASE IM BEGGING
Volume of this prism
Answer:
840 cm³
Step-by-step explanation:
To find it's volume , let's just divide the whole prism into two rectangular prisms.
Rectangular Prism 1:
Volume = [tex]Length * Width * Height[/tex]
Volume = 8 * 15 * 6
Volume = 720 cm³
Rectangular Prism 2:
Volume = [tex]Length * Width * Height[/tex]
Volume = 5 * 4 * 6
Volume = 120 cm³
Whole Prism:
Volume = 720+120
=> 840 cm³
Answer:
840 cm^3
Hope this helps :)
Please answer the question now in two minutes
Answer:
Coordinates of point P is [tex](-14,3)[/tex].
Step-by-step explanation:
Given that mid point of line segment [tex]\overline {PQ}[/tex] is at M(-9, 8.5).
Q is at (-4, 14).
Let coordinate of P be [tex](x,y)[/tex].
Using the ratio, we can say the following:
The coordinates of mid point [tex](X,Y)[/tex] of a line with endpoints [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] is given as:
[tex]X=\dfrac{(x_1+ x_2)}{2}[/tex]
[tex]Y=\dfrac{(y_1+ y_2)}{2}[/tex]
Using the formula for above given dimensions:
[tex]-9 =\dfrac{x+(-4)}{2}\\\Rightarrow x = -18+4 = -14[/tex]
[tex]8.5=\dfrac{(14+ y)}{2}\\\Rightarrow y = 17-14 =3[/tex]
So, the coordinates of point P are [tex](-14,3)[/tex].
HELP SOMEONE PLEASE! SO CONFUSED
Answer: The area is 24 square units.
Step-by-step explanation:
Things you need to use in this exercise:
Area of a circle = pi*r^2
r is the radius, equal to half the diameter.
Ok, in the image we can see 3 half-circles.
one has a diameter of 8 units: with area A (the left one)
other has a diameter of 6 units: with area B (the bottom one)
and the other has a diameter equal to the hypotenuse of the right triangle: with area C (the white semicircle that also includes the right triangle)
Now, you can think the shaded area as:
The sum of the areas of the half circles A and B, minus the area of the half-circle C, plus the area of the right triangle (because the white triangle is also included in the white semicircle)
So the area is:
A + B - C + area triangle
A = pi*(8/2)^2 = 3.14*4^2 = 50.24
B = pi*(6/2)^2 = 3.14*3^2 = 28.26
the area of the triangle is equal to:
T = 6*8/2 = 24
Now, to obtain the area of the white semicircle ( C) we need the hypotenuse of the triangle, so here we can use the Pythagorean's theorem:
H^2 = 8^2 +6^2
H = √(8^2 + 6^2) = 10
Then:
C = pi*(10/2)^2 = 3.14*5^2 = 78.5
Then the shaded area is:
Area = 50.24 + 28.26 + 24 - 78.5 = 24
Resuelve la siguiente ecuación: 15x = 27 + 6x (escribe el valor de x nada mas) ayudaaaaaaaaa porfavor se los pidooooo!!
Answer:
x=3
Step-by-step explanation:
15x=27+6x
subtract 6x
9x=27
divide 9
x=3
X=3
Step-by-step explanation:
15x = 27 + 6x
15x - 6x =27
9x =27
X= 27/9
X= 3
[tex]hope \: this \: helps[/tex]
PLEASE HELP ME ASAP FOR BRAINLIEST
Answer:
First one: true Second one: true
Step-by-step explanation:
First Question: the lines will be parellel even though the shape grows or gets smaller
Second Question: the angle will stay the same even if it grows into a larger or smaller shape.
Which correlation coefficient implies that the data points are closest to the line that is used to model the
points?
r≈0.3
r≈ 0.87
r≈-0.52
r≈-0.9
Answer:
r= 0.87
Step-by-step explanation:
It has the strongest correlation, which means it is closest to the line.
In a collection of 1050 flowers, 3/10 of them are red , 2/5 of them are
white and the rest are yellow. Find the no. of red, white and yellow flowers
Answer:
315 red flowers420 white flowers315 yellow flowersStep-by-step explanation:
1050 flowers
3/10 of them are red=> 3/10 *1050=3*105=315 red flowers
2/5, (or 4/10), are white =>4/10 * 1050=4*105=420 white flowers
=> 1050-(315+420)=1050-735=315 yellow flowers
PLEASE HELP ME ASAP!
Answer:
x =- 3 and y = -7
Step-by-step explanation:
2X-2Y=-8
X=2y + 11
We need to isolate both X and Y in both equations
so
2x-2y=-8
(add 2y to both sides)
2x=-8+ 2y
(divide both sides by 2)
x=-4+y and x=2y+11
because both of these equations are the same we can put them together
4+y=2y+11
(subtract y)
4=y+11
(subtract 11)
-7=y
so y = -7
then to find x you just need to plug in y to one of the equations
x=2(-7) + 11
x= -14 +11
x = -3
Answer:
x = - 19, y = - 15
Step-by-step explanation:
Given the 2 equations
2x - 2y = - 8 → (1)
x = 2y + 11 → (2)
Substitute x = 2y + 11 into (1)
2(2y + 11) - 2y = - 8 ← distribute and simplify left side
4y + 22 - 2y = - 8
2y + 22 = - 8 ( subtract 22 from both sides )
2y = - 30 ( divide both sides by 2 )
y = - 15
Substitute y = - 15 into (2) for corresponding value of x
x = 2(- 15) + 11 = - 30 + 11 = - 19
Solution is x = - 19, y = - 15
The ratio of the amount of vitamin A in cow milk to the amount of vitamin A in goat milk is 333 to 444. If a liter of cow milk has 156015601560 international units (\text{IU})(IU)left parenthesis, start text, I, U, end text, right parenthesis of vitamin A, how many \text{IU}IUstart text, I, U, end text of vitamin A are in a liter of goat milk?
Answer:
[tex]Goat = 2080IU[/tex]
Step-by-step explanation:
Given
Ratio = 3 : 4
Litre of cow = 1560IU
Required
IU of a litre of goat
The ratio represents ratio of cow milk to goat milk
In other words;
[tex]Cow:Goat = 3 : 4[/tex]
To calculate the number of IU in a litre of goat milk; we substitute Cow with 1650 in the above expression
[tex]Cow:Goat = 3 : 4[/tex]
[tex]1560:Goat = 3 : 4[/tex]
Convert to fraction
[tex]\frac{1560}{Goat} = \frac{3}{4}[/tex]
Multiply both sides by 4
[tex]4 * \frac{1560}{Goat} = \frac{3}{4} * 4[/tex]
[tex]\frac{4 * 1560}{Goat} = \frac{ 4 * 3}{4}[/tex]
[tex]\frac{6240}{Goat} = 3[/tex]
Multiply both sides by Goat
[tex]Goat * \frac{6240}{Goat} = 3 * Goat[/tex]
[tex]6240 = 3 * Goat[/tex]
Divide both sides by 3
[tex]\frac{6240}{3} = \frac{3 * Goat}{3}[/tex]
[tex]\frac{6240}{3} = \frac{3 * Goat}{3}[/tex]
[tex]2080 = Goat[/tex]
[tex]Goat = 2080[/tex]
what is the volume of the cylinder below?
the volume of the cylinder is d)168 units
The mean salary for the 20 workers in company A is $90 per week, whereas in company B the mean salary for its 30 workers is $85 per week. If the two companies merge, what is the mean salary for the 50 employees of the new company?
Answer:
The mean salary for the 50 employees of the new company = $87
Step-by-step explanation:
Mean for any n set of number is \
mean = sum of n terms/ n
_________________________________
For company A
The mean salary for the 20 workers in company A is $90 per week,
mean = $90
n = 20
using above formula
90 = sum of salary of 20 workers/20
sum of salary of 20 workers = 90*20 = $1800
__________________________________________________
For company B
The mean salary for the 30 workers in company A is $85 per week,
mean = $85
n = 30
using above formula
85 = sum of salary of 30 workers/30
sum of salary of 30 workers = 85*30 = $2,550
____________________________________________
If two companies merge
Total salary for all the 50 workers for both the company =
sum of salary of 20 workers in company A + sum of salary of 30 workers in company B = $1800 + $2550 = $4350
Mean salary of 50 workers will be
n= 50
mean = Total salary of 50 workers/50
mean salary of 50 workers = 4350/50 = 87
The mean salary for the 50 employees of the new company = $87
A country has a total biocapacity of 6.21 ha/person, a biocapacity of grazing land of 0.85 ha/person, and a biocapacity of forest land of 2.53 ha/person. Calculate the percentage of biocapacity from grazing and forest land.
Answer:
3.38/6.21=54.428% (0.54428)
Step-by-step explanation:
biocapacity of grazing land of 0.85 ha/person+biocapacity of forest land of 2.53 ha/person
2.53+0.85=3.38
the percentage of biocapacity from grazing and forest land
3.38/6.21=54.428% (0.54428)
Which of the polygons listed below have at least four sides? Triangles Quadrilaterals Pentagons Hexagons Heptagons
Answer:
"Correct"
Triangles: Have three (3) sides
Quadriliaterals: QUAD being the key word means four (4)
"Incorrect"
Pentagons: Have five (5) sides
Hexagons: Have six (6) sides; key word being HEX
Heptagons: 7 sides (7)
Step-by-step explanation:
Please answer this question in two minutes
Answer:
work is shown and pictured
A company rounds its losses to the nearest dollar. The error on each loss is independently and uniformly distributed on [–0.5, 0.5]. If the company rounds 2000 such claims, find the 95th percentile for the sum of the rounding errors.
Answer:
the 95th percentile for the sum of the rounding errors is 21.236
Step-by-step explanation:
Let consider X to be the rounding errors
Then; [tex]X \sim U (a,b)[/tex]
where;
a = -0.5 and b = 0.5
Also;
Since The error on each loss is independently and uniformly distributed
Then;
[tex]\sum X _1 \sim N ( n \mu , n \sigma^2)[/tex]
where;
n = 2000
Mean [tex]\mu = \dfrac{a+b}{2}[/tex]
[tex]\mu = \dfrac{-0.5+0.5}{2}[/tex]
[tex]\mu =0[/tex]
[tex]\sigma^2 = \dfrac{(b-a)^2}{12}[/tex]
[tex]\sigma^2 = \dfrac{(0.5-(-0.5))^2}{12}[/tex]
[tex]\sigma^2 = \dfrac{(0.5+0.5)^2}{12}[/tex]
[tex]\sigma^2 = \dfrac{(1.0)^2}{12}[/tex]
[tex]\sigma^2 = \dfrac{1}{12}[/tex]
Recall:
[tex]\sum X _1 \sim N ( n \mu , n \sigma^2)[/tex]
[tex]n\mu = 2000 \times 0 = 0[/tex]
[tex]n \sigma^2 = 2000 \times \dfrac{1}{12} = \dfrac{2000}{12}[/tex]
For 95th percentile or below
[tex]P(\overline X < 95}) = P(\dfrac{\overline X - \mu }{\sqrt{{n \sigma^2}}}< \dfrac{P_{95}- 0 } {\sqrt{\dfrac{2000}{12}}}) =0.95[/tex]
[tex]P(Z< \dfrac{P_{95} } {\sqrt{\dfrac{2000}{12}}}) = 0.95[/tex]
[tex]P(Z< \dfrac{P_{95}\sqrt{12} } {\sqrt{{2000}}}) = 0.95[/tex]
[tex]\dfrac{P_{95}\sqrt{12} } {\sqrt{{2000}}} =1- 0.95[/tex]
[tex]\dfrac{P_{95}\sqrt{12} } {\sqrt{{2000}}} = 0.05[/tex]
From Normal table; Z > 1.645 = 0.05
[tex]\dfrac{P_{95}\sqrt{12} } {\sqrt{{2000}}} =1.645[/tex]
[tex]{P_{95}\sqrt{12} } = 1.645 \times {\sqrt{{2000}}}[/tex]
[tex]{P_{95} = \dfrac{1.645 \times {\sqrt{{2000}}} }{\sqrt{12} } }[/tex]
[tex]\mathbf{P_{95} = 21.236}[/tex]
the 95th percentile for the sum of the rounding errors is 21.236
The measure of major arc ACB is _____ degrees. (Enter only a number as your answer)
Answer:
Step-by-step explanation:
measure of angles of a circle=360
angle ACB=360-82=278 degrees
If x + y = 6 and xy = 3, then the value of | x − y | it is
Answer:
2√6
Step-by-step explanation:
x + y = 6
xy = 3
Square the first equation.
x² + 2xy + y² = 36
Subtract 4xy from both sides.
x² − 2xy + y² = 36 − 4xy
Factor.
(x − y)² = 36 − 4xy
Substitute.
(x − y)² = 36 − 4(3)
(x − y)² = 24
Take square root.
x − y = ±√24
x − y = ±2√6
Take absolute value.
|x − y| = 2√6
Verify the property a x (b+c) =(a x b)+(a x c) by taking: a = -7, b = (2/5), c = (-3/7)
PLEASE HELP ASAP SHOE YOUR WORK!!!! Best answer gets brainliest :)
Answer:
Height = 3cm
Volume = 50.27cm^3
Step-by-step explanation:
Well to solve for the height with slant height and radius we can use the Pythagorean Theorem,
Which is [tex]a^2 + b^2 = c^2[/tex].
So we have c and a, so we have to fill those in.
(4)^2 + b^2 = (5)^2
16 + b^2 = 25
-16
b^2 = 9
[tex]\sqrt{b} \sqrt{9}[/tex]
b = 3cm
So to find the volume of a cone we use the following formula [tex]\pi r^2 \frac{h}{3}[/tex].
So we have the radius and height so we just fill those in.
(pi)(4)^2(3)/3
(pi)16(1)
pi*16
About 50.27cm^3
Simple and easy question
please help
Answer:
Volume of a sphere = 4/3πr³
π = 3.14
r = radius which is 3in
Volume = 4/3 × 3.14 × 3²
= 37.68
= 38 cubic inches to the nearest hundredth
Hope this helps
Answer:
38 cubic inches
Step-by-step explanation:
A giant jar of jelly beans contains 1,463 jelly beans that are cherry-flavored and 5,080 jelly beans that are not cherry-flavored. What is the ratio of the number of jelly beans that are cherry-flavored to the number of jelly beans that are not cherry-flavored?
Answer:
1463 : 5080
Step-by-step explanation:
There are 1463 cherry-flavored jelly beans.
There are 5080 non cherry-flavored jelly beans.
The ratio of cherry-flavored jelly beans to non-flavored jelly beans is:
1463 : 5080
Timmy writes the equation f(x) = f(x) equals StartFraction one-fourth EndFraction x minus 1.x – 1. He then doubles both of the terms on the right side to create the equation g(x) = g(x) equals StartFraction one-half EndFraction x minus 2.x – 2. How does the graph of g(x) compare to the graph of f(x)? The line of g(x) is steeper and has a higher y-intercept. The line of g(x) is less steep and has a lower y-intercept. The line of g(x) is steeper and has a lower y-intercept. The line of g(x) is less steep and has a higher y-intercept.
Answer:
the line of g(x) is steeper and has lower y intercept
Step-by-step explanation:
f(x)=1/4x-1
g(x)=1/2x-2
g(x) is steeper because the slope of gx is greater than f(x)
y intercept of gx=-2 and for f(x)=-1
the y intercept of g(x) is lower than the y intercept of f(x)
The steepness of a function is dependent on its slope.
The true statement is: (c) the line of g(x) is steeper and has lower y intercept
The equations are given as:
[tex]\mathbf{f(x)= \frac 14x-1}[/tex]
[tex]\mathbf{g(x)=\frac12x - 2}[/tex]
A linear function is represented as:
[tex]\mathbf{y = mx + b}[/tex]
Where:
m represents the slope/steepb represents the y-interceptFor f(x)
[tex]\mathbf{m_1 = \frac{1}4}\\\mathbf{b = -1}[/tex]
For g(x)
[tex]\mathbf{m_1 = \frac{1}2}\\\mathbf{b = -2}[/tex]
By comparison:
Steepness: 1/2 > 1/4y-intercept: -1 > -2This means that: the line of g(x) is steeper and has lower y intercept
Hence, the true option is: (c)
Read more about steep and intercepts at:
https://brainly.com/question/3309622