Answer:
[tex](B) a=\dfrac{T-b-c-d}{4}[/tex]
Step-by-step explanation:
Let the points for the three local matches be b, c, and d.
Let a be the number of points at the district match.
Since district match points count for four times the number of points than local matches do.
Total Points, T=4a+b+c+d
Next, we make 'a' the subject of the formula.
[tex]T=4a+b+c+d\\4a=T-b-c-d\\$Divide both sides by 4$\\a=\dfrac{T-b-c-d}{4}[/tex]
The correct option is B.
Answer:
B. a equals T minus b minus c minus d all over 4
Step-by-step explanation:
Good luck! Hope this helped :)
The sum of two numbers is 33. One number is 17 less than the other. Find the numbers. the smaller number is ? The larger number is ?
Answer:
8 and 25
Step-by-step explanation:
We can set up an equation to help solve this problem.
Let x represent the smaller number
x+(x+17)=33
2x+17=33
2x=16
x=8
The smaller number is 8
Add 17 to 8
The larger number is 25
Answer:
Smaller number:8 larger number:25
Step-by-step explanation:
25-8=17
25+8=33
You can also set up an equation to help things be easier.
some come in clutch and do this for me
Answer:
68cm²Step-by-step explanation:
The total surface area of the bite= total surface area of the sphere + total surface area of the rectangular prism
Total surface area of a sphere Ss = 4πr²
r = radius of the sphere = diameter/2
Given diameter of the sphere= 3cm; r = 3/2 cm
Ss = 4π(3/2)²
Ss = 4π*9/4
Ss = 9πcm²
For the rectangular prism
Total surface area Sr = 2WL + 2LH + 2HW
W = width of the prism
L = length of the prism
H = height of the prism
Given W = 4cm, L = 4cm, H = 0.5cm
Sr = 2(4)(4) + 2(4)(0.5) + 2(0.5)(4)
Sr = 32+4+4
Sr = 40cm²
Surface area of the bite = 9π + 40
Surface area of the bite = 68.27cm²
Surface area of the bite = 68cm² (to nearest square of a centimetre)
yooo plz help asap!!! marking brainiest answer!!!
Answer:
C.
Step-by-step explanation:
You are looking for an equation that, when you input 0 for x, you get 4 for y, and when you input -5 for x, you get -1 for y.
That only works for Option C.
Hope this [sorta] helps!
Answer:
C
Step-by-step explanation:
C
SOMEONE HELPPP PLEASEEEE
Answer:
a. Domain = All real numbers
Range = y ≥ 2
b. Domain = -4 < x ≤ 4
Range = 0 ≤ y < 4
Please help me which one is correct please help me fast answer if you can please
Answer:
C. 2mn and mn^2
Step-by-step explanation:
All of the other options are like terms.
Option A: -x+3x=2x
Option B: 4a+7a=11a
Option D. 3p^2q+(-p^2q)=2p^2q
Option C: These terms are not like terms since 2mn is not squared while mn^2 is squared.
Hence,
the correct option would be C.
Hope this helps!!! PLZ MARK BRAINLIEST!!!
Answer:
The thrid option or 2mn and mn^2
Step-by-step explanation:
Like terms are sets of terms that have the same variables and powers. All these answer choices have the same variables but answer c are not like terms because the second term is raised to the power of 2 and the first is not. Coefficients do not matter for like terms.
The jug can hold 1500ml. The bucket can hold 2 litres. The barrel can hold 15 litres. Anisa wants to fill the barrel with water. Find 2 ways that Anisa can fill the barrel using the jug and bucket
Answer:
1. Using the jug 6 times and the bucket 3 times
2. Using the bucket 6 times, then using the jug two times
Step-by-step explanation:
Firstly, let’s remember that 1000 ml = 1l
Thus 2L = 2000 ml
And 15L = 15,000 ml
So the situation we are having now is that we want to fill a barrel of 15,000 ml using a jug of 1500 ml and a bucket with a capacity of 2000 ml
Firstly, the first way is using the bucket 6 times and the jug 2 times
What i mean by this is using the bucket 6 times bringing the total volume from the bucket as (6* 2000) = 12,000 ml
Then we are left with 15,000-12,000 = 3,000 ml
Now, she can fill the barrel with 2 times the full volume of the jug making 3,000
Secondly, she can also use the combination of both.
She can use the bucket 6 times and the jug 2 times
The total volume in each case here would be;
For the bucket; (2,000 * 6) = 12,000 ml
while for the jug, we have (1500 * 2) = 3,000 ml
And thus we shall be having a total of 12,000 + 3,000 = 15,000 ml this way
Solve for x 6 x − 9 = 2 x + 7 can u plz help me
Answer:
x=4
Step-by-step explanation:
identify the variable expression that is not a polynomial.
A. y+23
B. 3\sqrt(x)-2
C. x^3
D. 13
Answer:
B. 3\sqrt(x)-2
Step-by-step explanation:
A polynomial cannot have a variable in the denominator
A constant is a polynomial
3\sqrt(x)-2 and this cannot be simplified to get rid of the variable in the denominator so it is not a polynomial
please help me I am very confused.
Answer:
1/2
Step-by-step explanation:
Square root as a exponent or power with a base is 1/2.
z^1/2 = √z
Which of the following choices must be true in order for ΔABC ≅ ΔEDC by the AAS congruency theorem? ∠B ≅ ∠D ∠A ≅ ∠E AC ≅ EC AB ≅ DE
Answer:
∠A ≅ ∠E
Step-by-step explanation:
The AAS (Angle-Angle -Side) congruence theorem implies that triangles ABC and EDC are congruent if both have equal two angles and a non included side.
In the given figures,
<ACB ≅ <ECD (vertical opposite angles)
BC ≅ DC (congruence property)
<ABC ≅ <EDC (alternate angles property)
∠A ≅ ∠E (alternate angle property)
With respect to AAS congruence theorem, ∠A ≅ ∠E is the correct option.
There are 30 runners in a cross country race. How many different groups of runners can finish in the top 3 positions
There are 4060 different groups of runners.
What is a combination?It is an arrangement of a set of numbers from a total set where the order of the set is not relevant.
The formula of combination is [tex]^nC_r[/tex] = n!/r!(n - r)!
We have,
Number of runners = 30
Number of runners in the group = 3
The number of different groups of runners.
= [tex]^{30}C_3[/tex]
= 30 x 29 x 28 / 3 x 2
= 5 x 29 x 28
= 4060
Thus,
The number of different groups of runners is 4060.
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if y varies inversely as x and y=6 when x=8 find y when x=7
Answer:
y = 5 1/4
Step-by-step explanation:
For direct or inverse variation relation
relation between two variable and y can be expresses in form of
y = kx where k is constant of proportionality .
Only thing happens in inverse relation is that when x increases then y decreases and vice versa. That is care by constant of proportionality
__________________________________
Thus, let the inverse relation be
y = kx
given
when y = 6 then x = 8
we will plug this value in y = kx
6 = k*8
=>k = 6/8 = 3/4
Thus,
relation is
y = 3/4 x
we have to find y when x = 7 ,
lets put x = 7 in y = 3/4 x
y = 3/4 *7 = 21/4 = 5 1/4
Thus, when x = 7 then y = 5 1/4
Amad was curious if triangles \triangle ABC△ABCtriangle, A, B, C, and \triangle EDF△EDFtriangle, E, D, F were congruent. He was able to map one figure onto the other using a reflection and a rotation. Amad concluded: "I was able to map \triangle ABC△ABCtriangle, A, B, C onto \triangle EDF△EDFtriangle, E, D, F using a sequence of rigid transformations, so the figures are congruent."
Answer:
There is no error, Amad is correct.
Step-by-step explanation:
Khan Academy Checked.
Amad had done no error. His conclusion is true.
What is Congruency?Two triangles are said to be congruent if their sides are equal in length, the angles are of equal measure, and they can be superimposed on each other.
For example,
In the figure given above, Δ ABC and Δ PQR are congruent triangles. This means that the corresponding angles and corresponding sides in both the triangles are equal.
Sides: AB = PQ, BC = QR and AC = PR;
Angles: ∠A = ∠P, ∠B = ∠Q, and ∠C = ∠R.
Therefore, Δ ABC ≅ Δ PQR
The following are the congruence theorems or the triangle congruence criteria that help to prove the congruence of triangles.
SSS (Side, Side, Side)SAS (side, angle, side)ASA (angle, side, angle)AAS (angle, angle, side)RHS (Right angle-Hypotenuse-Side or the Hypotenuse Leg theorem)As, from the given cases the prediction of congruency of two triangles is correct. There is no error he made.
Hence, Amad had not made any error.
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Find the measures of the supplementary angles that satisfy each case.
The measure of the first angle is 45° more than the measure of the second.
Please help meeeee!
Answer:
67.5 degrees, and 112.5 degrees.
Step-by-step explanation:
Let's make the second angle "x"
Supplementary angles always add up to 180 degrees.
So the first angle is 45 degrees more than the second, so you do:
x+x+45=180
Solve that and you get 67.5. That is the second answer. To find the first answer, add 45 to that. The answer is correct. Please give me branliest.
DESDE LA PARTE ALTA DE UN MURO DE 8M DE ALTURA SE OBSERVA LAS PARTE BAJA Y ALTA DE UN EDIFICIO CON ANGULOS DE ELEVACION Y DEPRESION DE 37 Y 45 RESPECTIVAMENTE. CALCULA LA ALTURA DEL EDIFICIO A.18 B.14 C.12 D.24 E.16
Answer:
The height of the building is approximately 18 meters.
Step-by-step explanation:
The question is:
FROM THE HIGH PART OF A WALL OF 8M HEIGHT, YOU CAN SEE THE LOW AND HIGH PART OF A BUILDING WITH ELEVATION AND DEPRESSION ANGLES OF 37° AND 45° RESPECTIVELY. CALCULATE THE HEIGHT OF THE BUILDING A.18 B.14 C.12 D.24 E.16
Solution:
Consider the diagram below.
Consider the triangle ABC.
Compute the value of y as follows:
[tex]tan\ 37^{o}=\frac{AB}{BC}[/tex]
[tex]0.754=\frac{8}{y}[/tex]
[tex]y=\frac{8}{0.754}[/tex]
[tex]=10.61\\\approx 11[/tex]
Thus, the length of side AD is also 11 meters.
Now consider the triangle AED.
Compute the value of x as follows:
[tex]tan\ 45^{o}=\frac{AE}{ED}[/tex]
[tex]1=\frac{11}{x}[/tex]
[tex]x=11[/tex]
Then the height of the building is:
[tex]\text{Height of the Building}=x+8[/tex]
[tex]=11+8\\=19[/tex]
From the options provided it can be concluded that the height of the building is approximately 18 meters.
write a function that represents the situation: A population of 210,000 increases by 12.5% each year
Answer
y= 12.5x + 210,000
Step-by-step explanation:
This is a linear function because it is increasing constantly by 12.5 percent so it will me written as y=mx+b
The value of function that represents the situation is,
⇒ P = 210,000 (1.125)ⁿ
Where, n is number of years.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
The situation is,
⇒ A population of 210,000 increases by 12.5% each year.
Now, Let number of years = n
Hence, The value of function that represents the situation is,
⇒ P = 210,000 (1 + 12.5%)ⁿ
⇒ P = 210,000 (1 + 0.125)ⁿ
⇒ P = 210,000 (1.125)ⁿ
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USE THE IMAGE ATTACHED BELOW please help me with my work answer it correctly I HAVE SO MUCH WORK DURING QUARANTINE
Answer:
Question 1:
a. The answer is B because the graph inclined really quickly and then it inclined at a much slower pace, suggesting that the person was running and then walking.
b. The answer is C because you can see on the graph that after a while, the distance from the starting point goes back to 0, indicating that the person forgot something at home.
Question 2:
a. The dashed line reaches the bottom at 15:30 so the answer is C.
b. Siobhan travels 8 km to go from home to school so the answer is 2 * 8 = 16 which is option D.
Question 3:
The answer is C because after the distance from the starting point increased, it then decreased and came back to the original point suggesting that he walked, turned around and walked back to the starting point.
Answer:
first page : a) A because it is the shortest time with no stop
b) C the graph goes up and return to the start point after a while
second page : it is at 3:30 0r 15:30
b): 8 km going to schools and 8 coming back is 16
third page it is C because he walk up a certain distance and come back to the starting point
$5000 was invested into an investment that pays 4.25% simple interest. The total value of the investment amounted to $6593.75. How long was principal invested for?
Answer:
7.5 years
Step-by-step explanation:
P = $5000,
R = 4.25%,
A = $6593.75,
N =?
SI = A - P = 6593.75 - 5000 =$1593. 75
[tex] \because \: SI = \frac{ PNR}{100} \\ \\ \therefore \: 1593.75 = \frac{5000 \times N \times 4.25}{100} \\ \\ \therefore \: 1593.75 \times 100 = 21,250 \times N \\ \\ N = \frac{159375}{21250} \\ \\ N = 7.5 \: years \: [/tex]
Read the following description of a relationship: Anne's shower uses 15 liters of water per minute. Let m represent the number of minutes her shower is on and w represent the liters of water used. Find the value of w when m=7.
Answer:
105
Step-by-step explanation:
m= minutes
Minutes*15= Whole water
m*15=w
7*15=105
Write the decimal 4.06 in word form and expanded form. Please
Answer:
four and six one hundredths
406/100
Step-by-step explanation:
The equation of a line is y = 4x + 15. what is the y-intercept of the line.
Answer:
15
Step-by-step explanation:
[tex]y = 4x + 15 \\ equating \: it \: with \\ y = mx + b \\ we \: find \\ b = 15 \\ \implies \: y - intercept = 15[/tex]
Answer:
Y intercept = 15
Step-by-step explanation:
Formula we use,
→ y = mx + b
→ b = y intercept
Then the y intercept will be,
→ y = mx + b
→ y = 4x + 15
→ [ b = 15 ]
Thus, required answer is 15.
Please help I don’t understand what this means!!
Answer:
Can you please post the complete answer.....A basket of fruit contains 4 bananas, 3 apples, and 5 oranges. You intend to draw a piece of fruit from the basket, keep it, draw a 2nd piece of fruit from the basket, keep that, and then draw a third piece of fruit from the same basket.What is the probability of selecting one banana, then one apple, then one orange, in that order, from the basket if you are blindfolded?
Answer:
The probability that the fruits will be selected in the order of banana then apple then orange is 0.1094
Step-by-step explanation:
The given information are;
The number of bananas = 4
The number of apples = 3
The number of oranges = 5
The total number of fruits are 4 + 3 + 5 = 12
The probability of selecting a banana, p(b) = 4/12 = 1/3
The probability of selecting an apple, p(a) = 3/12 = 1/4
The probability of selecting an oranges, p(o) = 5/12
The probability of selecting one banana, then one apple, then one orange, in that order, from the basket with replacement is the product of the individual probabilities found as follows;
p(p(b) then p(a) then p(o)) =
The number o
The probability that the first fruit is a banana = ₁₁C₃×(1/3)^(3)×(2/3)^8 = 0.2384
The probability that the second fruit is an apple = ₁₁C₃×(1/4)^(3)×(3/4)^8 = 0.258
The probability that the third fruit is an apple = ₁₁C₃×(5/12)^(3)×(7/12)^8 = 0.16
The total probability = 0.2384 + 0.285 + 0.16 = 0.657
The number of ways in which the three can be selected = 3 × 2 × 1 = 6 ways
Therefore, the probability that the fruits will be selected in the order of banana then apple then orange = 0.657/6 = 0.1094.
1. Write a two-column proof.
Given: Triangle ACD is isosceles; <1 is congruent to <3
Prove: Segment AB || Segment CD
Answer:
Check it below, please
Step-by-step explanation:
Hi there!
Let's prove segment AB is perpendicular to CD. Attention to the fact that a two column proof has to be concise. So all the comments can't be exhaustive, but as short as possible.
Let's recap: An isosceles triangle is one triangle with at least 2 congruent angles.
Statement Reason
[tex]\overline{AB} \cong \overline{AC}\\[/tex] Given
[tex]\widehat{ACB} \:bisects\: \overline{AB}[/tex] Isosceles Triangle the altitude, the bisector coincide.
[tex]\overline{AD} \cong \overline{DB}[/tex] Bisector equally divide a line segment into two congruent
[tex]m\angle CDA =m \angle CBD=90^{\circ}[/tex] Right angles, perpendicular lines.
[tex]\overline{CD}\perp \overline{AB}[/tex] Perpendicular Line segment
help plz i will make u brainllest
Answer:
C. 3√7
Step-by-step explanation:
As we know, the product of projections is equal to square of altitude in the right triangle. Applied to the given triangle, we get:
9×7= y²y= √9×7y=3√7Choice C. 3√7 is the correct one
Answer: C. 3√7
Step-by-step explanation:
Heights of Basketball Players (inches)
75, 73, 76, 78, 79, 78, 79, 81, 80, 82, 81, 84
Mean = 78.8
MAD = 2.4
What can you infer from the given data? Choose all
that apply
Basketball players are generally taller
Soccer players are generally taller
Soccer players and basketball players are generally
the same height
Basketball player heights vary slightly more
Soccer player heights vary slightly more.
Heights of Soccer Players (inches)
70, 72, 71, 74, 71, 74, 73, 67, 70, 72, 69, 78, 73, 76, 69
Mean = 71.9
MAD = 2.2
Answer:
Basketball players are generally taller.
Basketball player heights vary slightly more.
Step-by-step explanation:
I hope this helps!
Basketball players are taller because the average (mean) of basketball players is greater than soccer players.
Basketball player heights vary more because the MAD is greater or more than the soccer players.
Basketball players are generally taller. Basketball player heights vary slightly more.
What is mean?Mean is defined as the ratio of the sum of the number of the data sets to the total number of the data.
Basketball players are taller because the average (mean) of basketball players is greater than soccer players.
Basketball player heights vary more because the MAD is greater or more than the soccer players.
Therefore, basketball players are generally taller. Basketball player heights vary slightly more.
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Multiple the polynomials (3x^2+4x+4) (2x-4)
Answer:
6x³ - 4x² - 8x - 16
Step-by-step explanation:
Step 1: Distribute the 2x
6x³ + 8x² + 8x
Step 2: Distribute the -4
-12x² - 16x - 16
Step 3: Combine the 2 distributions
6x³ + 8x² + 8x - 12x² - 16x - 16
Step 4: Combine like terms
6x³
8x² - 12x² = -4x²
8x - 16x = -8x
-16
Step 5: Rewrite
6x³ - 4x² - 8x - 16
━━━━━━━☆☆━━━━━━━
▹ Answer
6x³ - 4x² - 8x - 16
▹ Step-by-Step Explanation
(3x² + 4x + 4) (2x - 4)
Distribute
3x²(2x - 4) + 4x(2x - 4) + 4(2x - 4)
Remove parentheses
6x³ - 12x² + 4x(2x - 4) + 4(2x - 4)
Collect like terms
6x³ - 12x² + 8x² - 16x + 8x - 16
6x³ - 4x² - 16x + 8x - 16
Solve
6x³ - 4x² - 8x - 16
Hope this helps!
CloutAnswers ❁
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a rectangle has an area of 18cm2. the lengths of the sides are whole numbers. how long can the sides be? give all the examples you can think of because i cannot
Examine the diagram of circle C. Points Q, V, and W lie on circle C. Given that m∠VCW=97∘, what is the length of VW⌢?
Answer:
[tex] \frac{97pi}{18} m [/tex]
Step-by-step Explanation:
==>Given:
radius (r) = 10 m
m<VCW = 97°
==>Required:
Length of arc VW
==>Solution:
Formula for length VW is given as 2πr(θ/360)
Using the formula, Arc length = 2πr(θ/360), find the arc length VW in the given circle
Where,
θ = 97°
r = radius of the circle = 10 m
Thus,
Arc length VW = 2*π*10(97/360)
Arc length VW = 20π(97/360)
Arc length VW = π(97/18)
Arc length VW = 97π/18 m
Our answer is,
[tex] \frac{97pi}{18} m [/tex]
what is the surd of these two right angled triangles
Answer:
a = √157b = √85First QuestionTo find a we Pythagoras theorem
That's
[tex] {a}^{2} = {6}^{2} + {11}^{2} \\ {a}^{2} = 36 + 121 \\ \\ {a}^{2} = 157 \\ \\ a = \sqrt{157} \\ [/tex]
Second question[tex] {11}^{2} = {b}^{2} + {6}^{2} \\ \\ {b}^{2} = 121 - 36 \\ \\ {b}^{2} = 85 \\ \\ \\ b = \sqrt{85} [/tex]
Hope this helps you
Answer:
Below in bold.
Step-by-step explanation:
The first one a^2 = 6^2 + 11^2 ( By the Pythagoras Theorem)
a^2 = 157
a = √157.
The second triangle:
b^2 = 11^2 - 6^2
b^2 = 85
b = √85.