Answer:
6.03s
Step-by-step explanation:
Given the equation for the soccer ball's height, s, at time, t, seconds after the launch expressed as
s(t) = −4.9t2 + 19.6t +60
The ball hits the ground when s(t) = 0
Substitute s(t) = 0 into the expression
0= −4.9t2 + 19.6t +60
Multiply through by -10
0 = 49t²-196t-600
49t²-196t-600 = 0
Factorize
t = 196±√196²+4(600)(49)/2(49)
t = 196±√38416+117600/98
t = 196±√156016/98
t =196±394.99/98
t = 196+394.99/98
t = 590.99/98
t = 6.03secs
Hence the ball bit the ground after 6.03seconds later
Proving the Parallelogram Side Theorem
Given: ABCD is a parallelogram.
Prove: AB=CD and BC=DA
Angles Segments Triangles Statements Reasons ZBAC ZBCA DAC ZDCA B с Statements Reasons A Assemble the proof by dragging tiles to the Statements and Reasons columns.
Answer:
A parallelogram is a quadrilateral that has two parallel and equal pairs of opposite sides.
From the given diagram,
Given: AD = BC and AD || BC, then:
i. AB = DC (both pairs of opposite sides of a parallelogram are congruent)
ii. <ADC = < BCD and < DAB = < CBA
thus, AD || BC and AB || DC (both pairs of opposite sides of a parallelogram are parallel)
iii. < BAC = < DCA (alternate angle property)
iv. Join BD, line AC and BC are the diagonals of the quadrilateral which bisect each other. The two diagonals are at a right angle to each other.
v. <ADC + < BCD + < DAB + < CBA = (sum of angles in a quadrilateral equals 4 right angles)
Therefore, ABCD is a parallelogram.
Step-by-step explanation:
The solution is, ABCD is a parallelogram.
What is parallelogram?A parallelogram is a quadrilateral that has two parallel and equal pairs of opposite sides.
here, we have,
From the given diagram,
Given: AD = BC and AD || BC, then:
i. AB = DC (both pairs of opposite sides of a parallelogram are congruent)
ii. <ADC = < BCD and < DAB = < CBA
thus, AD || BC and AB || DC (both pairs of opposite sides of a parallelogram are parallel)
iii. < BAC = < DCA (alternate angle property)
iv. Join BD, line AC and BC are the diagonals of the quadrilateral which bisect each other.
The two diagonals are at a right angle to each other.
v. <ADC + < BCD + < DAB + < CBA = (sum of angles in a quadrilateral equals 4 right angles)
Therefore, ABCD is a parallelogram.
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SUBSTITUTING INGREDIENTS
1. Your soup recipe calls for tdry mustard What can you substitute?
2. Your chocolate cake recipe calls for 2 ozunsweetened baking chocolate substitute ?What can you
3. Your muffin recipe calls for 2 c. self-rising flour. What can you substitute 3. Your meat sauce recipe calls for 2 T. fresh, chopped basil. What can you substitute?
4. Your cake recipe calls for 2 c. cake flour . What can you substitute ?
Answer:
1. 1 tablespoon Dijon mustard
2. Combine six Tablespoons of cocoa powder and two Tablespoon of vegetable oil, butter or shortening
3. 2 cups of all-purpose flour, 3 teaspoons baking powder, and ½ teaspoon salt
3. One teaspoon of dried basil leaves
4. Combine 1 3/4 cups all-purpose flour with 1/4 cup cornstarch
Step-by-step explanation:
CAn I have brainliest? TYSMMMMMMMMMM
GEOMETRY QUESTION, HELP PLEASEEE.
Answer:
The pre-image C is (2, 5)
Step-by-step explanation:
If the point (x, y) rotated about the origin by angle 90° clockwise, then its image is (y, -x)If the point (x, y) rotated about the origin by angle 180° clockwise, then its image is (-x, -y)If the point (x, y) rotated about the origin by angle 270° clockwise, then its image is (-y, x)∵ Point C was rotated 270° clockwise around the origin
∵ C' = (-5, 2)
→ By using the 3rd rule above
∵ The image of the point (x, y) is (-y, x)
∴ (-y, x) = (-5, 2)
→ That means -y = -5 and x = 2
∴ x = 2
∴ -y = -5
→ Divide both sides by -1
∴ y = 5
∴ The pre-image C = (2, 5)
if you multiply 5 and then blank and it equals 565 what the missing number?
What is the volume of the following rectangular prism?
Answer:
1/2 * 7/4 = 7/8
Thank you and please rate me as brainliest as it will help me to level up
1/2(x+2)=5(x+2) solve the following completely
Answer:
X is equalled to '' - 2''
Step-by-step explanation:
If you need an explanation, leave a comment ;) As my hand writing is very messy. I'll write it here if you want.
Cheers! :)
When
4a- a x 3a + 7a
is simplified it is equivalent to?
Answer:
-3a^2+11a
Step-by-step explanation:
Answer:
4a-a×3a+7a
or, 3a×3a+ 7a
or,9a+7a
or,16a
:. a =16
In a 650g bag of mixed dried fruits, the ratio of mangos to apples to pears is 12:8:6 by mass. Determine the masses of the mangos, apples, and pears in the bag.
Answer:
mass of mangos = 300g
mass of apples = 200g
mass of pears = 150g
Step-by-step explanation:
lets first reduce the ratio
12:8:6
is the same as
6:4:3
this means the the denominator of our fractions will be 6 + 4 + 3 = 13
hence
mangos = 6/13 of 650g
6/13 * 650 = 300
apples = 4/13 of 650g
4/13 * 650 = 200
pears = 3/13 of 650g
3/13 * 650 = 150
Match the graph shown with the following equation
Answer a and b please
Answer:
a) D b)B
Step-by-step explanation:
a) the graph is of negative slope as it slants downwards hence slop/gradient is negative. y intercept is positive so only option d is right
b) sub each option point into 3y = 2x - 1 if they equate to be the same, it is correct.
3(2) = 2(6) - 1
6 = 11 (not equal)
3(1) = 2(2) - 1
3 = 3 (equal) this is the answer
of course you can sub in the rest to confirm but I'm lazy so yeah I'll stop here
Topic: Linear Graphs and its equations
If you would like to venture further, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!
Find the total surface area of this cuboid.
5 cm
2.3 cm
7.5 cm
If anyone gets it right pls double check how you did it
86.25
Step-by-step explanation:
5×2.3×7.5= your answer
I NEEDA KNOW IF IM RIGHT , IDK HELP
Answer:
CD and DE are perpendicular because their slopes are -1/3 and 3
Step-by-step explanation:
Perpendicular lines will always have the opposite reciprocal.
What is the absolute value of −3.582?
Answer:
Its 3.582
Step-by-step explanation:
The absolute value is the numbers distance from zero, in other words just the positive version of it :)
(brainliest?)
Geoffrey friend baked a cream pie yesterday. Geoffrey ate 6.3 slices yesterday and 1.3 slices today. How many slices has Geoffrey eaten so far?
Answer:
7.6
Step-by-step explanation:
1.3 + 6.3 = 7.6
Answer correctly please !!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!!!
Answer:
[tex] m\angle EFG =43\degree[/tex]
Step-by-step explanation:
[tex] m\angle EFG +m\angle GFH = m\angle EFH\\\\
(3x-20)\degree + (3x+5)\degree =111\degree \\\\
(3x-20+3x +5)\degree =111\degree \\\\
(6x-15)\degree =111\degree \\\\
(6x-15) =111 \\\\
6x = 111 + 15\\\\
6x = 126\\\\
x = \frac{126}{6}\\\\
x = 21\\\\
m\angle EFG = (3x-20)\degree\\\\
m\angle EFG = (3\times 21-20)\degree\\\\
m\angle EFG = (63-20)\degree\\\\
m\angle EFG =43\degree\\[/tex]
(Will mark brainliest and give $5 Starbucks digital card Include SC!!!) For which set of triangles can you immediately use the AAS congruence criteria to prove them congruent?(1 point)
1. triangles STU and VWX, where ∠T≅∠W, ∠U≅∠X, and SU≅VX
2. triangles GHI and JKL, where ∠G≅∠J, ∠H≅∠K, and GH≅JK
3. triangles MNO and PQR, where ∠N≅∠Q, MN≅PQ, and NO≅QR
I'm not so sure about this answer, but i remember doing something similar to this. I think it's 3.
Find the y-intercept of the graph of the linear equation. 3/4 x + y = 10
Answer:
10
Step-by-step explanation:
slope intercept form is y=mx+b
in this case b is 10
y=-3/4x+10
I'm stuck on this one. I'm sorry of you know everything but there are other people who can't comprehend some problems without being their to actually see and experience it with a teacher. Just help me with this one -
Answer:
Expand the brackets, and simplify.
(4t - 8/5)-(3-4/3t) = (4t +4/3t) + ( -8/5 - 3) = 5 1/3t - 23/5 = 16/3t - 23/5
5(2t + 1) + (-7t + 28) = 10t + 5 - 7t + 28 = 3t + 33
(-9/2t + 3) + (7/4t + 33) = (-9/2t + 7/4t) + (3 + 33) = -11/4t + 36
3(3t - 4) - (2t + 10) = 9t - 12 - 2t - 10 = 7t - 22
a) Match the graph shown with one of the following equations.
b) Which one of the following points lies on the line 3y = 2x - 1?
The graph have a negative slope and a positive y intercept. The graph is given by y = -x + 2. The point (2, 1) lies on th line 3y = 2x - 1
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The graph have a negative slope and a positive y intercept. The graph is given by y = -x + 2
Given the equation:
3y = 2x - 1
When x = 2:
3y = 2(2) - 1
y = 1
The point (2, 1) lies on th line 3y = 2x - 1
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A news service conducted a survey of 1026 adults ages 18 years or older in a certain country, August 31minus−September 2, 2015. The respondents were asked, "Of every tax dollar that goes to the federal government, how many cents of each dollar would you say are wasted?" Of the 1026 individuals surveyed, 36% indicated that 51 cents or more is wasted. The news service reported that 3636% of all adults in the country 18 years or older believe the federal government wastes at least 51 cents of each dollar spent, with a margin of error of 55% and a 99% level of confidence. Complete parts (a) through (e) below. What is the researchobjective?
A. To determine the number of adults in the country paying their taxes to the federal government
B. To determine the percent of adults in the country who believe the federal government wastes 51 cents or more of every dollar
C. To determine the number of adults in the country
D. To determine the number of adults in the country who believe the federal government wastes 51 cents or more of every dollar
Answer:
B. To determine the percent of adults in the country who believe the federal government wastes 51 cents or more of every dollar.
Step-by-step explanation:
Given that:
sample size = 1026
sample proportion = 0.36
Margin of error = 55% = 0.55
Confidence interval level = 99%
The purpose of this question is to determine the research objective:
The research objectives indicate the intention of the study, the objectives,\ or the main idea. This main idea arises from a need (the research problem) and refined into specific questions (i.e. the research questions). From, the given information, the research objective is to determine the percent of adults in the country who believe the federal government wastes 51 cents or more of every dollar.
What is the correct set.
470
с
b
O a=47, b=60, c=60
O a=180,b=47. c=180
O a=47, b=133, c=47
O a=133, b=47. c=133
What’s the answer to this? Thanks!
Answer:
D
Step-by-step explanation:
I used a triangle calculator I'm not really sure how to calculate it by hand. if the angle of sides 4 and 15 is set to 1 then the min is 11.33 and if the andle of sides 4 and 15 are set to 179 then the max is 18.99952
Sorry if this isnt enough, but i am sure.
Answer:
D. 11 < x < 19.
Step-by-step explanation:
The third side x is between 11 and 19 cm.
Consider sides AB (length 4) and BC (length 15) of the triangle.
Consider the angle between AB and BC is slightly less than 180 degrees. To get from point A to point C, we have to travel almost the entire length of A to C, which is from A to B and then B to C, so a bit less than 19 cm.
Consider the angle between AB and BC is slightly more than 0 degrees. To get from point A to point C, we subtract the length of AB (because we're already further along BC), so 15 - 4, a bit greater than 11.
9-2*x=35
A. -13
B. -22
C. 48
Answer:
x= -13 (a)
Step-by-step explanation:
-2x=35-9
-2x=26
x=-13
hope this helps x.
Answer:
-13
Step-by-step explanation:
9-2/x=35
9-2/x=35
-2/x=35-9
-2/x=26
-2=26x
26x=-2
x=-1/13
Directions: Select the appropriate comparing symbol from the dropdown list below to evaluate each pair of numbers.
Problem .998 _____ .9899 *
Answer:
.998 is greater than .9899
does 2, 2, √4 make a right triangle
Answer:
No it can'tright angle triangle
Step-by-step explanation:
2, 2, √4 can't make a right triangle
By Pythagoras theorem the square of two sides equal to the third side of the triangle.
2^2+2^2=(√4)^2
4+4=4
8 is not equal to 4 so it not make right angle triangle.
...... help lots of points available (plz answer it)
hii guys happy chota dipawali
Answer:
yay thats so coolllllllll
Write the following fractions in order of size
1/3
3/4
1/4
7/12
1/2
Start with the smallest fraction.
Ans wer 7/12 3/4 1/3 1/2
Step-by-step explanation:
help im being timed what is the area of the rectangle?!
Answer:
30
Step-by-step explanation:
Hope this helps.
The image of the point (4. 9) under a translation is (9. 13). Find the coordinates
of the image of the point ( 5. 2) ander the same translation,
Answer:
The coordinates of the image are (10,6)
Step-by-step explanation:
Translation
A point located at (x,y), translated by (a,b) maps to the point (x+a,y+b).
If we know the location of the point (x,y) and the location of its image (x',y'), we can know the values of (a,b) by subtracting:
(a,b) = (x',y') - (x,y)
We know the coordinates of the point (4,9) and the coordinates of its image (9,13). Calculate the translation:
(a,b) = (9,13) - (4,9) = (5,4)
If the point (5,2) is translated under the same conditions, then it will map to the point (5,2) + (5,4) = (10,6).
The coordinates of the image are (10,6)
Explain the Error
Find the error in the solution, and then solve it correctly.
7x + 21 + 6x = 4
7x + 21 = -2
7x = -23
-23
7
(select) was subtracted from the left side, but (select) was subtracted from the right side. The
Subtraction Property of Equality states that you can subtract the same number from each side and the
equation will remain true. But 6x and 6 are not the same number (unless x is (select)).
X =
Answer:
Step-by-step explanation:
7x+21+6x=4 combine terms
13x+21=4 subtract 21 from both sides
13x= -17 divide by 13
x= -17/13