Find the missing angle according to the Triangle Exterior Angle Theorem
Answer:
x = 105 degrees
Step-by-step explanation:
First, figure out the interior angle, we can do this ading the two angles and then subtracting the sum from 180 (since the interior angle of a triangle adds up to 180 degrees)
180 - (55 + 50) = 75
next, we can figure out x by taking the sum (75) and subtracting that from 180 since it is a supplementary angle:
180 - 75 = 105
x = 105
Answer:
105 degrees!
Step-by-step explanation:
all the angles in a triangle must add to 180.
50+55= 105
therefore, the missing angle would be 75
x+75 must also add to 180 so the answer would be: 105 because 75+105= 180
Hope this helps!!
Can someone help me and show your work thank you
Answer:
$120
Step-by-step explanation:
I = Prt
P = 200
r = 0.12
t = 5
I = 200(0.12)(5)
I = 120
They’ve had to write five pages for a book report. How many hours would it take him to write it if he wrote 1/6 of the page each hour
Let R be the region bounded by the following curves. Use the method of your choice to find the volume of the solid generated when R is revolved about the x-axis. y = 6x^2 & y = 28 - x^2
Answer:
V = 7168π /3
Step-by-step explanation:
R ( region ) bounded by curves ; y = 6x^2 , y = 28 - x^2
determine the volume of the solid generated when R is revolved about the x-axis
Volume = 7168π /3
attached below is the remaining part of the detailed solution to the problem above
Given that :
y = 6x^2----- ( 1 ) , y = 28 - x^2 ------ ( 2 )
equate ( 1 ) and ( 2 )
6x^2 = 28 - x^2
7x^2 = 28
∴ x = √4 = ± 2
Which graph represents a function with direct variation?
Mareo bounces a basketball 45 times in 55 seconds. At that rate,
approximately how many times will Marco bounce the ball in 150
seconds?
can someone pls awnser this
Answer:
Quadratic and Trinomial
Step-by-step explanation:
It has a degree of 2, making it a quadratic. It has 3 terms, so it's a trinomial.
Find the slope of the line passing through the two points: (1, -2) and (-3, -7)
Answer:
5/4
Step-by-step explanation:
Answer:
slope = 1.25
Step-by-step explanation:
use the formula
m=rise/run or m=[tex]y_{2} - y_{1} / x_{2} - x_{1}[/tex]
-7-(-2)/(-3)-1
= 5/4 (or 1.25)
hope this helps :)
Expand the Logarithm
Step-by-step explanation:
The power can come to the front according to logarithm rule.
Solve the system of equations by any method you choose
-4x-2y=-2
-9x+3y=3
Answer:1. Use substitution to solve the system of equations:
-x + 2y=7
x - 3y = 3
2. Solve the system of equations by the elimination method
a. 2x+ y = -17
x - y = 2
b. 3x + y = -15
x + 2y = -10
Answer:
(0, 1)
Step-by-step explanation:
You can solve this by using the substitution or elimination method. For this problem, I'm going to use the substitution method. First, rewrite -4x-2y=-2 in slope-intercept form, which would be y=-2x+1. Substitute the y value in -9x+3y=3 (which would be -9x+3(-2x+1)=3) and solve.
-9x+3(-2x+1)=3
-9x-6x+3=3
-15x=0
x=0
Now, substitute the x value in for the x in any equation. You can do -4(0)-2y=-2 or -9(0)+3y=3. I'm going to use -9(0)+3y=3.
-9(0)+3y=3
3y=3
y=1
please help me!!! thank you!!!!
Mia is going on a 238-mile bicycle trip. If she rides 14 miles each day, how many days will it take her to finish the trip?
A 12 days
B 14 days
C 17 days
D 18 days
Answer:
17 days
Step-by-step explanation:
238/14 = 17
In which quadrant the values of x and y both negative.
Answer:
The Answer should be Quadrant III
Step-by-step explanation:
Hope this helped!
Help please!(10 points)
Answer:
Each friend gets 3/4 of a fruit bar
Step-by-step explanation:
According to the distributive property 3(a+b)
Answer:
3a + 3b
Step-by-step explanation:
Brainlyst for the best answer thank you!
what is 2y is y = -3
Answer:
-6
Step-by-step explanation:
2 x -3 = -6
1 positive and a negative integer multiplied will get a negative answer
Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Sketch the region, the solid, and a typical disk or washer.
y=1+ secx, y =3; about y=1
Answer:
Step-by-step explanation:
[tex]\text{Given that:}[/tex]
[tex]y = 1+ sec(x) \ \ y =3[/tex]
[tex]\text{we draw the graph and the curves intersect at:}[/tex]
[tex]x = - \dfrac{\pi}{3} \ and \ x = \dfrac{\pi}{3}[/tex]
[tex]\text{Applying washer method;}[/tex]
[tex]f(x) _{outer} - g(x) _{inner} --- (1)[/tex]
[tex]V= \int ^b_a A(x) \ dx --- (2)[/tex]
[tex]\text{outer radius = 3 - 1 = 2}[/tex]
[tex]\text{inner radius =}[/tex] [tex]( 1 + sec(x) ) - 1 = sec (x)[/tex]
[tex]A(x) = \pi ((2)^2 -(sec(x)^2) \\ \\ A(x) = \pi (4 - sec^2 (x)) ---- (3)[/tex]
[tex]\text{The volume V =}\int ^{\dfrac{\pi}{3}}_{-\dfrac{\pi}{3}} \ \ A(x) \ dx[/tex]
[tex]V = \int ^{\dfrac{\pi}{3}}_{-\dfrac{\pi}{3}} \ \ \pi (4- sec^2 (x) ) \ dx[/tex]
[tex]V = 2 \pi \int ^{\dfrac{\pi}{3}}_{0}( 4 - sec^2 (x)) \ dx[/tex]
[tex]V = 2 \pi \int ^{\pi/3}_{0} 4 . \ dx - 2 \pi \int ^{\pi/3}_{0} sec^2 (x) \ dx[/tex]
[tex]V = 2 \pi(4) \int ^{\pi/3}_{0} 1 . \ dx - 2 \pi \Big( tan (x)\Big )^{\dfrac{\pi}{3}}_{0}[/tex]
[tex]V = 8 \pi(x)^{\dfrac{\pi}{3}}_{0} - 2 \pi \Big( tan \dfrac{\pi}{3} -tan (0)\Big )[/tex]
[tex]V = 8 \pi({\dfrac{\pi}{3}}-{0}) - 2 \pi \Big( tan \sqrt{3}-(0)\Big )[/tex]
[tex]V = 8 \pi({\dfrac{\pi}{3}}) - 2 \pi \Big( \sqrt{3}\Big )[/tex]
[tex]\mathbf{V = 2 \pi \Big(\dfrac{4\pi}{3}- \sqrt{3} \Big)}[/tex]
help me please it’s due soon
Add them both up and divided by 2, 52+45=97. 97/2 =48.5
Step-by-step explanation:
I really need help with this problem.
9514 1404 393
Answer:
a) line: y = x - 11
b) k = -9
c) AP = BP = √74
Step-by-step explanation:
There are four (4) formulas that are needed for solving this problem.
m = (y2 -y1)/(x2 -x1) . . . . . . slope of a line between points (x1, y1) and (x2, y2)
M = ((x1 +x2)/2, (y1 +y2)/2) . . . . midpoint of the segment between the points
y -y1 = m(x -x1) . . . . . point-slope equation of a line given point and slope
d = √((x2 -x1)² +(y2 -y1)²) . . . . distance between two points
In addition, you need to know that perpendicular lines have opposite reciprocal slopes.
__
The perpendicular bisector of a segment between two points will be a line with a slope that is the opposite reciprocal of the slope of the segment. That line will go through the midpoint of the segment.
a) The slope of the segment between A(7, -2) and B(9, -4) is ...
m = (-4-(-2))/(9-7) = -2/2 = -1
The midpoint of AB is ...
M = ((7+9)/2, (-2-4)/2) = (8, -3)
The opposite reciprocal of the slope of AB is ...
m = -1/(-1) = 1
Then the point-slope equation of the perpendicular bisector is the line with slope 1 through the point (8, -3):
y -(-3) = 1(x -8)
y = x -11
__
b) Point P on the line has x-value of 2, so the y-value will be ...
k = 2 -11 = -9
Point P has coordinates (2, -9).
__
c) The length of segment AP is given by the distance formula:
d = √((2 -7)² +(-9-(-2))²) = √((-5)² +(-7)²) = √74
The length of segment BP is likewise given by the distance formula:
d = √((2 -9)² +(-9 -(-4))²) = √((-7)² +(-5)²) = √74
AP = √74 = BP ⇒ AP ≅ BP
What is the slope of the line in the graph?
X
Please help
Answer: slope is 1
Step-by-step explanation:
The degrees of freedom in a t distribution is?
Answer: 7 degrees of freedom.
Step-by-step explanation:
jose has a wedge shaped piece of wood as shown in the diagram. jose plans to paint the piece of wood and must determine how much paint he needs.
Answer:
There is no diagram. If you repost the question, I may be able to help you
Step-by-step explanation:
Answer:
No diagram
Step-by-step explanation:
Given the polynomial f(x) = 3x ^ 3 - 4x ^ 2 - 3x - 1 what is the smallest positive integer a the Intermediate Value Theorem guarantees a zero exists between 0 and a? Enter an integer as your answer . For example , if you found a = 8 you would enter 8. Provide your answer below .
9514 1404 393
Answer:
2
Step-by-step explanation:
You need the smallest positive integer for which f(x) > 0.
f(1) = 3 -4 -3 -1 = -5
f(2) = ((3·2 -4)2 -3)2 -1 = (4 -3)2 -1 = 1
x = 2 is the smallest integer for which f(x) > 0.
You have 100 workers who make $9 per hour that work 40 hours per week, 52 weeks a year. If the minimum wage
increased to $11 per hour, how much extra money will the company pay for these 100 workers?
Answer:
416,000
Step-by-step explanation:
per hour 9*100=900
per week 900*40=36,000
per year 36,000*52=1,872,000
with raise
11*100=1,100
1,100*40=44,000
44,000*52=2,288,000
difference equals
416,000
PLEASE HELP I WILL GIVE BRAINLIEST IF YOU GET IT RIGHT 7TH GRADE MATH
Answer:
D.324
Step-by-step explanation:
Answer:
D. 324 Sq in
Step-by-step explanation:
Painted area = area of rectangle + Area of square + Area of triangle
[tex] = 60 \times 4 + {8}^{2} + \frac{1}{2} \times 8 \times 5 \\ \\ = 240 + 64 + 20 \\ \\ = 324 \: {in}^{2} [/tex]
Solve and check the equation.
3(2y - 5) = 5(y + 4)
Use math-way to solve and check, it gives you all the answers, with a small explanation.
Answer:
y=35
Step-by-step explanation:
3(2y - 5) = 5(y + 4)
6y - 15 = 5y +20
6y - 5y = 20 + 15
y = 35
convert 13.025 to base 10
Answer:
Your question is in what base please?
A triangle pyramid has a base with an area of 11.3 square meter, and lateral faces with bases of 5.1 meters and height of 12 meters. Enter a expression that can be used to find the surface area of the triangle pyramid .
Grade 6 go math chapter11 pre test
Thank you bye!!!
Answer:
229.41
Step-by-step explanation:
Well you need to multiply 11.3 times 4.5 per each triangle
Also you need to find the base which is a square
So 5.1 times 5.1 which is technically 5.1 squared. You add from there
EQUATION: 4(11.3 x 4.5) + 5.1 squared
You should get 229.41
A =[4/3 -7/-2]
5. Find the determinant of A.
A.-2
B.2
C.29
D. 13
Answer:
Let's solve your equation step-by-step.
a=
4
3
−
7
−2
Step 1: Simplify both sides of the equation.
a=
4
3
−
7
−2
a=
4
3
+
7
2
a=(
4
3
+
7
2
)(Combine Like Terms)
a=
29
6
a=
29
6
Answer:
a=
29
6