Question 8 measurements. Angle H (acute) Angle M (obtuse) Angle K (acute)
Question 9 measurements. Angle P (right) Angle Q (obtuse) Angle R (acute) Angle S (obtuse) Angle T (right)
Any angle that is visibly smaller than 90° in shape is an acute angle.
Any angle that has a square denoted inside the angle means that it is a 90° angle, therefore implying that it is a right angle.
Any angle that is visibly bigger than 90° in shape is an obtuse angle.
Note that in the Q.8, the total summation of the interior angles for a triangle is 180°. In this case, ∠H & ∠K can be safely assumed to be smaller than right angles, which means that ∠M would be either a right angle or obtuse. However, it is not given that ∠M is a right angle, and so the answer is obtuse.
a. Angle H: acute angle
b. Angle M: obtuse angle
c. Angle K: acute angle
It is given that angles P & T are right angles (as denoted by the squares). Therefore, angle Q & S are obtuse, and angle R is acute, based on visible differences:
a. angle P: Right angle.
b. angle Q: Obtuse angle.
c. angle R: Acute angle.
d. angle S: Obtuse angle.
e. angle T: Right angle.
Usually you will not be using visibility to solve the angle measurements, but in this case, it is not stated that shapes are not drawn to scale. Therefore, you can safely assume based on what the angles look like to answer.
Que. 19. In the equation x = 2y + 9, if x = 1, than y =
Answer: y = -4
Step-by-step explanation:
If x = 1
1 = 2y + 9
1 - 9 = 2y
-8 = 2y
y = -8/2
y = -4
please give me a brainliest answer
Answer:
[tex]y = ( - 4)[/tex]
Step-by-step explanation:
Given that,
[tex]x = 1[/tex]
Question :
[tex]x = 2y + 9[/tex]
You have to find the value of y. So, make the y as the Subject
[tex]x = 2y + 9 \\ x - 9 = 2y \\ \frac{x - 9}{2} = \frac{2y}{2} \\ \frac{x - 9}{2} = y[/tex]
Now replace 1 instead of x
[tex]y = \frac{x - 9}{2} \\ y = \frac{1 - 9}{2} \\ y = \frac{ - 8}{2} \\ y = - 4[/tex]
Hope this helps you.
Let me know if you have any other questions :-)
Write the standard form of 7384000000
Answer:To write a linear expression in standard form, rearrange the terms in alphabetical order.
7384000000
Step-by-step explanation:
Answer:
738400000.0
Step-by-step explanation:
738400000.0*10^10
what is the explicit rule for the geometric sequence 1/64, 1/16, 1/4, 1
Answer:
[tex]\frac{1}{\sqrt[n]{64}}[/tex]
Step-by-step explanation:
[tex]\frac{1}{\sqrt[1]{64}} =\frac{1}{64}[/tex]
[tex]\frac{1}{\sqrt[2]{64}} =\frac{1}{16}[/tex]
[tex]\frac{1}{\sqrt[3]{64}} =\frac{1}{4}[/tex]
[tex]\frac{1}{\sqrt[4]{64}} =\frac{1}{1}[/tex]
Mr. Benson’s gross pay is $789.18. The amount of social security deducted is 6.2% of gross pay. How much of his gross pay will be deducted for the social security tax?
Answer: $48.93
Step-by-step explanation: 789.18 x 0.062
Answer:
$48.93
Step-by-step explanation:
789.18 x (0.062) = 48.92916 $48.93
took the test
pls help i need help on homework. and i dont understand:
6 = 7y - 8
please solve using inverse operations
I offer a crown and 20 points
Answer:
6=7y-8
6+8=7y-8+8(addition inverse operation)
14=7y
14/7=7y/7(division inverse operation)
2=y
Step-by-step explanation:
Answer:
y=2
Step-by-step explanation:
6=7y-8
(to get all the numbers on the right side and the letters on left side we can swap 6 with 7y)
-7y= -6-8
(since both were positive before we used the inverse method to turn both into a negative number)
-7y= -14
÷7 ÷7
(to get y on its own we divide both sides by 7)
y=2
Hope this helped you- have a good day bro cya)
Solve: (x - y)/(sqrt(x) + 1) = 2 + (sqrt(x) - 5)/3
A hiker wants to determine the height of a tree. She measures the tree shadows to be 17.1 m long her own shadow at the same time is 1.8 m long the hiker is 1.7 m tall how tall is the tree
x/17.1 = 1.7/1.8
x = 17.1*1.7 /1.8
Height of tree = 16.15 m
I need help with my math, please?
Answer:
Step-by-step explanation:
find T1 and T2, if a 60 N load is hanged and in equilibrium position.
Answers:
T1 = 59.5677879151077 N
T2 = 45.7583538175564 N
The values are approximate. Round the values however you need to.
=========================================================
Explanation:
Refer to the diagram below. I have added red and blue lines to break up each tension vector into the x and y components. For tension T1 in red, we have x1 and y1 as the horizontal and vertical components respectively. Note that x1 points to the left and y1 points upward.
For T2 in blue, we have x2 point to the right and y2 point upward. The horizontal components x1 and x2 must be equal, and point in opposite directions, so that we have horizontal balance. Otherwise, the object would accelerate to one side rather than be stationary.
Applying a bit of trig, we can say
cos(angle) = adjacent/hypotenuse
cos(45) = (x1)/(T1)
x1 = T1*cos(45)
and also
sin(angle) = opposite/hypotenuse
sin(67) = (x2)/(T2)
x2 = T2*sin(67)
----------------------
Again, the x1 and x2 vectors must be equal in magnitude, allowing us to say this
x1 = x2
T1*cos(45) = T2*sin(67)
T1 = T2*sin(67)/cos(45)
which we'll use later.
----------------------
Doing a bit more trig set up, we know that
sin(45) = (y1)/(T1)
y1 = T1*sin(45)
and
cos(67) = (y2)/(T2)
y2 = T2*cos(67)
Adding those two y components together will yield the total upward force that the ropes apply
y1+y2 = T1*sin(45)+T2*cos(67)
y1+y2 = (T2*sin(67)/cos(45))*sin(45)+T2*cos(67)
y1+y2 = T2*( sin(67)*sin(45)/cos(45) + cos(67) )
y1+y2 = T2*( sin(67)*tan(45) + cos(67) )
y1+y2 = T2*( sin(67)*1 + cos(67) )
y1+y2 = T2*( sin(67) + cos(67) )
This combined upward pull must be equal to 60 newtons or else we wouldn't have vertical equilibrium. If the upward pull was smaller than the downward pull, then the object would be falling. If the other way around, then the object would be pulled upward at some accelerated speed (think of a spring action).
So we'll set y1+y2 equal to 60 and solve for T2
y1+y2 = 60
T2*( sin(67) + cos(67) ) = 60
T2 = 60/( sin(67) + cos(67) )
T2 = 45.7583538175564
That value is approximate. The units for T2 are in newtons. This is the amount of pull or force along the T2 line in the upper right direction.
Side note: make sure your calculator is in degree mode.
----------------------
The last thing to do is to compute T1
T1 = T2*sin(67)/cos(45)
T1 = 45.7583538175564*sin(67)/cos(45)
T1 = 59.5677879151077
That value is approximate as well. The units are also newtons here. This represents the amount of pull in the upper left direction as the diagram shows.
----------------------
Finding such values for T1 and T2 is useful to determine if a rope can handle a certain stress load. Let's say we had a rope that was rated for only 40 newtons. Anything beyond 40 N for this hypothetical rope would mean the rope breaks. We found T1 and T2 beyond this threshold which would indicate that such a rope isn't up to the task of holding this object up (at least not with the angles shown in the diagram).
If m<6 = 7x -36 and m<9 = 5x + 12, what is the value of angle 11 ?
Can someone help me with this please?
Answer: OO! i remember this but i forgot
Step-by-step explanation: ඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞ.
amogusඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞ.ඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞ.ඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞ.
Christina is paying back the $120 she borrowed from her parents. If she pays $15 per week, how long will it take her to pay the $120?
Answer:
8 weeks
Step-by-step explanation:
i just divided 120 and 15
Answer:
It's 8 weeks
Step-by-step explanation:
because you basically take 120/15= answer or amount due divided by amount payed per (time choice)= time taken
I hope this helped!
please help me with this maths questions
Answer:
yes in this problem u would multiply the exponents due to the parenthesis, equaling 5^18
Find the value of x and y. SHOW YOUR WORK
I'll mark you brainliest if you show work and it's correct.
Answer:
x=21, y= 35
Step-by-step explanation:
3x+7=5x-35
(subtract seven from -35)
3x=5x-42
(subtract 5 from 3)
-2x=-42
(-42/-2= positive number)
x=21
y+75=3y+5
(subtract 75 from 5)
y=3y-70
(subtract 3y from y)
-2y=-70
y=35
16. John's daily income is $120. His daily income is 20% more than Michael's daily income. What is Michael's
daily income?
Plz send step by step explanation
Will mark as a brainiest
Answer:
Michael's daily income is $96
Step-by-step explanation:
Given
john's income=$120
by question
John's income is 20%more than Micheal's
so,. Micheal's income= John's income - 20%of John's income
=$120 - 20%of $120
=$120 -20/100*$120
=$120 - $24
=$96
Answer:
100
Step-by-step explanation:
[tex]x + \frac{20x}{100} = 120 \\ x + \frac{x}{5} = 120 \\ 5x + x = 600 \\ 6x = 600 \\ x = 100[/tex]
PLEASE PLEASE PLEASEEEEEEE HELP RNNN xddddddd
Lets find the slope of the graph for Jennifer's record. THe slope represents her rate.
Slope = (y2 - y1) / (x2 - x1)
Lets use the first two points.
Slope = (8 - 5) / 64 - 40)
= 3 / 24
= 1 / 8
Use the second and third points.
Slope = (10 - 8) / (80 - 64)
= 2 / 16
= 1 / 8
Last points.
Slope = (12 - 10) / (96 - 80)
= 2 / 16
= 1 / 8
The slopes are constant.
Now we compare the slopes. Use the LCD to compare fractions.
1 / 9 = 8 / 72
1 / 8 = 9 / 72
9 / 72 > 8 / 72
Jennifer has the faster training rate. She can cover more distance in less time than Patrick can.
Simplify: [5×(25)^n+1 - 25 × (5)^2n]/[5×(5)^2n+3 - (25)^n+1]
[tex] \green{\large\underline{\sf{Solution-}}}[/tex]
Given expression is
[tex]\rm :\longmapsto\:\dfrac{5 \times {25}^{n + 1} - 25 \times {5}^{2n} }{5 \times {5}^{2n + 3} - {25}^{n + 1} } [/tex]
can be rewritten as
[tex]\rm \: = \: \dfrac{5 \times { {(5}^{2} )}^{n + 1} - {5}^{2} \times {5}^{2n} }{5 \times {5}^{2n + 3} - {( {5}^{2} )}^{n + 1} } [/tex]
We know,
[tex] \purple{\rm :\longmapsto\:\boxed{\tt{ {( {x}^{m} )}^{n} \: = \: {x}^{mn}}}} \\ [/tex]
And
[tex] \purple{\rm :\longmapsto\:\boxed{\tt{ \: \: {x}^{m} \times {x}^{n} = {x}^{m + n} \: }}} \\ [/tex]
So, using this identity, we
[tex]\rm \: = \: \dfrac{5 \times {5}^{2n + 2} - {5}^{2n + 2} }{{5}^{2n + 3 + 1} - {5}^{2n + 2} } [/tex]
[tex]\rm \: = \: \dfrac{{5}^{2n + 2 + 1} - {5}^{2n + 2} }{{5}^{2n + 4} - {5}^{2n + 2} } [/tex]
can be further rewritten as
[tex]\rm \: = \: \dfrac{{5}^{2n + 2 + 1} - {5}^{2n + 2} }{{5}^{2n + 2 + 2} - {5}^{2n + 2} } [/tex]
[tex]\rm \: = \: \dfrac{ {5}^{2n + 2} (5 - 1)}{ {5}^{2n + 2} ( {5}^{2} - 1)} [/tex]
[tex]\rm \: = \: \dfrac{4}{25 - 1} [/tex]
[tex]\rm \: = \: \dfrac{4}{24} [/tex]
[tex]\rm \: = \: \dfrac{1}{6} [/tex]
Hence,
[tex]\rm :\longmapsto\:\boxed{\tt{ \dfrac{5 \times {25}^{n + 1} - 25 \times {5}^{2n} }{5 \times {5}^{2n + 3} - {25}^{n + 1} } = \frac{1}{6} }}[/tex]
2x = x +3
Help pls I can’t do this one
Answer:
x=3
Step-by-step explanation:
Subract the x from the left side and add it to the right side and then you got your answer
Find h. h - 6 = 5
(A) 5
(B) -1
(C)11 (D)6
Answer:
C
Step-by-step explanation:
How do you do this question?
Answer:
The answer is D) 12
There are two trips, but the distances are the same.
Trip #1: uphill, at 9 mph
Trip #2: downhill at 18 mph
Total round trip is 30 minutes.
Since he's going half the speed uphill, Trip #1 takes twice as long as Trip #2.
So if the time for Trip #2 is x, then the time for Trip #1 is 2x.
x + 2x = 30, so x=10
Trip #2 takes 10 minutes.
Trip #1 takes 20 minutes.
Trip #1: 20 minutes at 9 mph = 3 miles
Trip #2: 10 minutes at 18 mph = 3 miles
This means his school is 3 miles away.
If you want an equation to solve,
Let d = distance to school. We use d = r·t formula to set up that t = d/r
let t1 = time going to school and t2 = times going home
t1 + t2 = 30 and t1 = d/9 and t2 = d/18.
d/9 + d/18 = 0.5 (it's 0.5, because we need the time in hours)
mutiply both sides b 18
2d + d = 9
3d = 9
d = 3
i need help with this im not very good at math.
Answer:
p = 10.9
Step-by-step explanation:
PLEASE HELP complete the construction a perpendicular line to segment AB through point P.
Answer:
.
Step-by-step explanation:
sorry i can't help
What is another name for an ordered subset?
A. Probability
B. Combination
C. Permutation
Answer: b
Step-by-step explanation:
Please help me to solve this question. Thank you
Answer:
cheating in exam mmmmmmmm
3(6k+5)+3(6k+4
The expression has to be equivalent.
Step-by-step explanation:
3(6k+5)+ 3(6k+4)
open the bracket
18k+15+18k+12=0
collect like terms
18k+18k+15+12=0
36k + 27 =0
36k=-27
k=-27/-36
divide through by 3
k= -9/-12
still divide through by 3
k=-3/-4
minus cancel minus
k=3/4
All cross-sectional shapes that are parallel or perpendicular to one of the
bases of a?
are also congruent to one another.
A. cube
B. polygon
C. prisma
D. pyramid
All cross-sectional shapes that are parallel or perpendicular to one of the bases of a Cube.
What is cross-section?A cross section in mathematics is the illustration of the intersection of an entity by a plane.
In a cube, all the faces which is parallel or perpendicular to one of the faces are congruent to one another.
So, out of all cross-sectional shapes that are parallel or perpendicular to one of the bases of a Cube, are also congruent to one another.
Hence, the cross-sectional shapes that are parallel or perpendicular to one of the bases of a Cube.
Learn more about cross-sections, click;
https://brainly.com/question/15541891
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Shaheer takes 4 1/2 minutes to run ONE
PROPER LAP around the School
How many laps can he do in each time
a) 30 minutes
b) 20 minutes
c) 15 minutes
Answer:
Im not
sure but i think its (B) i really hope its right
Step-by-step explanation:
The pyramid of Khafre measured 143.5 meters high. The pyramid of Menkaure measured 65.5 meters high. Write and solve an equation to find d, the difference in the heights of these two pyramid.
Answer:
See belowStep-by-step explanation:
The pyramid of Khafre measured 143.5 meters high.The pyramid of Menkaure measured 65.5 meters high.The difference in the heights of the two pyramids:
d = 143.5 m - 65.5 md = 78 mLets see
d is difference between the heights
143.565.5So
d=143.5-65.5d=78mHelppppp pleaseeee I will mark brainliest
If 5x+ 3 = 10x– 17, what is the value of x?
A. 1
B. 2
C. 3
D. 4
E. 5
Answer:
D
Step-by-step explanation:
First, we will move the variable to the left-hand side and change its sign: 5x + 3 - 10x = -17
Next, we need to collect like terms: -5x = -20
Finally, we will divide both sides of the equation by -5 to give us the answer of x = 4.