Answer:
a, Side DE and side AB have to be equal to keep the order of AAS.
b, AC and DF have to be equal for the same reason.
Justin earned scores of 85, 92, and 95 on his science tests. What does he need
to earn on his next science test to have an average (arithmetic mean) of 93%?
Answer:
Justine needs to score a 100 to have an average of 93%.
Step-by-step explanation:
Given:
Justin scores 85, 92 and 95 on his science tests.
To find:
The score that he needs to earn to have an average of 93%?
Solution:
Let the score in next science test = [tex]x[/tex]
Formula for Average/Arithmetic Mean is given as:
[tex]Average = \dfrac{\text{Sum of all observations}}{\text{Total number of observations}}[/tex]
Here we have 4 number of total observations and average is 93%.
Now, put all the values here:
[tex]93 = \dfrac{85 +92+ 95+x}{4}\\\Rightarrow 93\times 4=85 +92+ 95+x\\\Rightarrow 372=272+x\\\Rightarrow x = 372-272\\\Rightarrow x = 100[/tex]
So, Justin needs to score 100 to have an average of 93%.
What are the solutions of 3x2 + 6x + 15=0 ?
Answer:
x = -1 ± 2i
Step-by-step explanation:
Quadratic Formula: [tex]x = \frac{-b+/-\sqrt{b^2-4ac} }{2a}[/tex]
√-1 = i
Step 1: Factor GCF
3(x² + 2x + 5)
Step 2: Use quadratic formula
a = 1
b = 2
c = 5
[tex]x = \frac{-2+/-\sqrt{2^2-4(1)(5)} }{2(1)}[/tex]
[tex]x = \frac{-2+/-\sqrt{4-20} }{2}[/tex]
[tex]x = \frac{-2+/-\sqrt{-16} }{2}[/tex]
[tex]x = \frac{-2+/-i\sqrt{16} }{2}[/tex]
[tex]x = \frac{-2+/-4i }{2}[/tex]
[tex]x = \frac{-2(-1+/-2i) }{2}[/tex]
x = -1 ± 2i
What else would need to be congruent to show that ABC was DEF by ASA
Answer:
ABC≅DEF ASA POSTULATE
There must be two angles and one side of ABC congruent to DEF
Step-by-step explanation:
Answer:
BC=EF
Step-by-step explanation:
Process of elimination and I just took the test so trust me.
A pack of pens costs $3.25. A pad
paper costs $1.28. If you buy two
packs of pens and five pads of paper
how much do you spend?
Answer:
$12.90
Step-by-step explanation:
Graph the first six terms of a sequence where a1 = 3 and d = −10.
Answer:
Step-by-step explanation:
nth term = (n-1)th term + common difference
d = -10
a₁ = 3
a₂ = a₁ + d = 3 + (-10) = -7
a₃ = a₂ + d = -7 + (-10) = -17
a₄ = a₃ + d = -17 + (-10) = -27
a₅ =a₄ + d = -27 + (-10) = -37
a₆ = a₅ + d = -37 + (-10) = -47
First six terms: 3 , -7 , -17, -27, -37 , -47
3 Sarah left home at 10:00 and cycled north in
a straight line. The diagram shows a
displacement-time graph for her journey.
a Work out Sarah's velocity between 10:00 and 11:00.
On her return journey, Sarah continued past her
home for 3 km before returning.
b Estimate the time that Sarah passed her home.
c Work out Sarah's velocity for each of the last two
stages of her journey.
d Calculate Sarah’s average speed for her entire journey.
Answer:
a) From 10 to 11, Sarah rode 12 km in one hour. That means her velocity was 12 km/hr.
b) Sarah passed by her home at 12:45.
c) From 12 to 13, Sarah rode 15 km. Thus, her velocity was 15 km/hr. From 13 to 14 she rode 3 km. Thus, her velocity was 3 km/hr.
d) Her average velocity was 12+0+15+3/4, or 30/4 which is 7.5 km/hr.
can some body help me plz
Answer:
Each side length of the square is [tex]8cm^{2}[/tex]
Step-by-step explanation:
We know that a square has 4 Equal sides.
To find the area of a triangle, you will have to use the formula [tex]A=\frac{1}{2} (bh )[/tex]
Then, you will substitute with 4 and 16.
[tex]A=\frac{1}{2} (4x16)[/tex] (x=times)
Then, simplify.
[tex]A=\frac{1}{2} (64)[/tex]
Then, simplify again :)
[tex]A=32cm^{2}[/tex]
Now, we know that the area of a triangle is [tex]32cm^{2}[/tex]. It tells us that the area of a square is double that.
So, we divide [tex]32[/tex] by [tex]4[/tex], since a square has 4 sides.
[tex]\frac{32}{4} = 8cm^{2}[/tex]
Hence, one side length of a square is [tex]8cm^{2}[/tex].
Hope that helps:D
-Jazz
Answer:
8cm
Step-by-step explanation:
First find the area of the the triangle:
4*16=64 64/2=32
The square is twice the area of the triangle:
32*2=64
A square has two lengths that are the same so that means two same numbers multiplied by each other would be 64
That number would be 8
Help pls!!! The diagram shows a 12 cm * 3 cm * 4 cm cuboid. Find angle GEC. Give your answer to 1 decimal place.
Answer:
m<GEC = 17.9 deg
Step-by-step explanation:
First, use the Pythagorean theorem to find the length of GE.
(GE)^2 = (E?)^2 + (?G)^2
I am using ? in place of the front right corner point name that is not visible.
(GE)^2 = 12^2 + 3^2
GE = 12.3693
In triangle EGC, for angle GEC, GE is the adjacent leg, and GC is the opposite leg. We use the tangent.
tan GEC = opp/adj
tan GEC = GC/GE
tan GEC = 4/12.3693
tan GEC = 0.32338
Use inverse tangent to find the angle.
m<GEC = 17.9 deg
The angle ∠GEC of a cuboid will be:
"17.9°"
Pythagoras TheoremAccording to the question,
Three dimensions,
AC = 4 cm
EH = 12 cm
GH = 3 cm
By using Pythagoras theorem,
→ (GE)² = (EH)² + (GH)²
By substituting the values,
= (12)² + (3)²
= 144 + 9
= 153
GE = √153
= 12.3693
Now, In ΔEGC
here, Adjacent leg = GE
Opposite leg = GC
→ tan GEC = [tex]\frac{Opposite}{Adjacent}[/tex]
= [tex]\frac{GC}{GE}[/tex]
= [tex]\frac{4}{12.3693}[/tex]
= 0.32338
Hence, by using inversing tangent
m∠GEC = 17.9°
Thus the above answer is correct.
Find out more information about Pythagoras theorem here:
https://brainly.com/question/24417148
Identify the equation which has no solution. 3x - 21 = 3(x + 7) 3x - 21 = 3(x - 7) 3x - 21 = x - 7 All of the choices
Answer:
3x - 21 = 3(x + 7).
Step-by-step explanation:
3x - 21 = 3(x + 7)
3x - 21 = 3x + 21
3x - 3x = 21 + 21
0 = 42
Since the two are not equal, this equation has no solution.
3x - 21 = 3(x - 7)
3x - 21 = 3x - 21
3x - 3x = -21 + 21
0 = 0
Since the two are equal, this equation has infinitely many solutions.
3x - 21 = x - 7
2x = 14
x = 7
This equation has one solution.
Since there is only one choice that makes sense, the answer won't be all of the choices.
The answer is A. 3x - 21 = 3(x + 7).
Hope this helps!
Rahul solved the equation 2(x – ) – 2 left-parenthesis x minus StartFraction 1 Over 8 EndFraction right-parenthesis minus StartFraction 3 Over 5 EndFraction x equals StartFraction 55 Over 4 EndFraction x = 2 left-parenthesis x minus StartFraction 1 Over 8 EndFraction right-parenthesis minus StartFraction 3 Over 5 EndFraction x equals StartFraction 55 Over 4 EndFraction . In which step did he use the addition property of equality? A table titled Rahul's Solution with 2 columns and 5 rows. The first column, Steps, has the entries 1, 2, 3, 4. The second column, Resulting equations, has the entries, 2 x minus StartFraction 1 Over 4 EndFraction minus StartFraction 3 Over 5 EndFraction x equals StartFraction 55 Over 4 EndFraction, StartFraction 7 Over 5 EndFraction x minus StartFraction 1 Over 4 EndFraction equals StartFraction 55 Over 4 EndFraction, StartFraction 7 Over 5 EndFraction x equals StartFraction 56 Over 4 EndFraction, x equals 10. Step 1 Step 2 Step 3 Step 4
Answer:
Step 3
Step-by-step explanation:
The solution is given in the image attached. The steps are:
Step 1:
[tex]2x-\frac{1}{4} -\frac{3}{5}x=\frac{55}{4}[/tex]
Step 2: simplifying the coefficients of x:
[tex]2x -\frac{3}{5}x-\frac{1}{4}=\frac{55}{4}\\\frac{10x-3}{5} -\frac{1}{4}=\frac{55}{4}\\\frac{7x}{5} -\frac{1}{4}=\frac{55}{4}[/tex]
Step 3: Adding 1/4 to both sides
[tex]\frac{7x}{5} -\frac{1}{4}+\frac{1}{4} =\frac{55}{4}+\frac{1}{4}\\ \frac{7x}{5}=\frac{55+1}{4}\\ \frac{7x}{5}=\frac{56}{4}\\[/tex]
Step 4: Multiplying both sides by 5/7
[tex]\frac{7x}{5}*\frac{5}{7} =\frac{56}{4}*\frac{5}{7} \\x=10[/tex]
The addition property of equality states that if a number is added to both sides of an equation, the equation is still valid (i.e the equation is still the same). From the steps above, The addition property of equality was applied in step 3
Answer:
c. step 3
Step-by-step explanation:
Please answer it now in two minutes
Answer:
p = 67
Step-by-step explanation:
The polygon has 8 sides.
The sum of the measures of the interior angles is:
180(n - 2) = 180(8 - 2) = 180(6) = 1080
p + 49 + 2p + 7 + 2p + 142 + p + 50 + 2p + 147 + 2p + 15 = 1080
10p + 410 = 1080
10p = 670
p = 67
Which of the expressions are monomials?
Answer:
nx∧(-3)
Step-by-step explanation:
Since it contains one term with the variable
Help is appreciated. Easy I just am always confused
Answer:
BA=BC
Step-by-step explanation:
The domain and range of all linear functions, with the exception of vertical and horizontal lines, is
Answer:
All real numbers
Step-by-step explanation:
Linear functions have a domain and range of all real numbers because they reach from -∞ to ∞ on the x-axis and y-axis.
An example is given below. The domain and range of the function are all real numbers.
Help!!!!! please!!!!!
Answer:
192.154 ft²
Step-by-step explanation:
Area of a Hexagon Formula: A = 3√3/2(x)²
x is the side of the hexagon. We simply plug in 8.6 in for x:
A = 3√3/2(8.6)²
A = 3√3/2(73.96)
A = 221.88√3/2
A = 110.94√3
A = 192.154
Answer:
~192.2
Step-by-step explanation:
The area of a regular hexagon is calculated by:
A = [3*sqrt(3)/2]x side x side = 3*sqrt(3)/2 x 8.6^2 = ~192.2
how to find out the value of the lettered sides
Step-by-step explanation:
asin 46°= a/12.8
a = sin46° * 12.8 = 9.20
bcos59°=b/16.8
b = cos59°*16.8 = 8.65
Answer:
a = 9.2b = 8.65Step-by-step explanation:
First Question
To find a we use sine
sin ∅ = opposite / hypotenuse
a is the opposite
12.8 is the hypotenuse
sin 46 = a / 12.8
a = 12.8 sin 46
a = 9.2Second question
To find b we use cosine
cos∅ = adjacent / hypotenuse
b is the adjacent
16.8 is the hypotenuse
cos 59 = b / 16.8
b = 16.8 cos 59
b = 8.65Hope this helps you
How many 9-digit palindromes are there with all the digits being even and each digit appearing no more than twice?
Answer: 96
Step-by-step explanation:
A palindrome is a number that is the same when reading in both ways (right to left, and left to right), for example, 121
Then, we have 9 digits, and all the digits need to be even.
the options are: 0, 2, 4, 6, 8.
Now, we can tink a 9 digit number as 9 empty slots, and in each slot, we can put a number.
But because this is a palindrome, the first digit must be equal to the ninth, and the second digit must be equal to the eight, and so on.
So we can tink it as actually only 5 slots, where in each slot, we can put an even number, now let's count the options that we have in each selection.
For the first digit we have 4 options: 2, 4, 6 and 8 (0 is not counted here because if the first digit was a 0, then this would not be a 9 digit number).
for the second digit, we have also 4 options (because we already toked one, but now the 0 can be chosen)
for the third digit, we have 3 options
for the fourth digit, we have 2 options
for the fifth digit, we have only one option.
The total number of combinations is equal to the product of the number of options for each selection:
C = 4*4*3*2*1 = 96
Answer:
96
Step-by-step explanation:
Simplify (4x+5y) (2x-3y) + 3xy
Answer:
the answer is 8x^2+xy-15y^2
Complete the equation: x2 + 10x + ___ = 2
I’m confused please help!
Answer:
A is the answer.
Step-by-step explanation:
In option A, there are 9 red boxes and 3 blue boxes
If we simlify,
9 : 3 = 3 : 1 = 1 : 1/3
Hope you understand
Answer: Grid A
Step-by-step explanation:
The ratio red:blue is simplified to 1:1/3.
To make things easier, we can expand it so that both sides add up to 12(total number of squares in a grid).
We can multiply both sides by 9.
1 x 9= 9
1/3 x 9= 3
Now the ratio red:blue is 9:3, which adds up to 12.
Grid A is the only grid where there are 9 red squares and 3 blue squares.
A store sells cards on each of which there are drawings of different flowers: either roses, either daisies, either tulips, either sunflowers. Each card also has a message: either "Happy birthday!", "Happy holidays!", or "Happy anniversary!". What is the greatest possible amount of different cards that this store sells?
Answer:
12
Step-by-step explanation:
4 types of flowers, 3 messages, therefore 3x4=12
Sunflower: Daisy: Tulip: Roses:
Birthday Birthday Birthday Birthday
Holiday Holiday Holiday Holiday
Anniversary Anniversary Anniversary Anniversary
COUNT ALL OF THE HOLIDAYS AND THAT NUMBER IS GONNA BE YOUR ANSWER.
-7(2k-3)=-35 fill in the empty spaces __ k +21=-35 __ k=__ k=__ ANSWERS -14 1 -56 21 7 -7 6 -14 4 24 -1
Answer:
k = 4
Step-by-step explanation:
Step 1: Distribute
-14k + 21 = -35
Step 2: Subtract 21 on both sides
-14k = -56
Step 3: Divide both sides by -14
k = 4
Answer:
-14, -14, -56, 4.
Step-by-step explanation:
-7(2k-3)=-35
-14k + 21 = -35
-14k = -56
k = 4
So, your answers should be -14, -14, -56, 4.
Hope this helps!
Select the correct answer. Which statement is true for the numbers 2.5 and -2.5? A. On the horizontal number line, 2.5 and -2.5 are equal and are located on the same point. B. On the horizontal number line, -2.5 is located to the left of zero and 2.5 is located to the right of zero. C. On the horizontal number line, 2.5 and -2.5 are both located to the right of zero. D. On the horizontal number line, 2.5 is located to the left of zero and -2.5 is located to the right of zero.
Answer:
B
Step-by-step explanation:
On the horizontal number line, -2.5 is located to the left of zero and 2.5 is located to the right of zero.
On the number line, the numbers left side of zero are all negative numbers, and the numbers right side of zero are all positive numbers.
The area of the triangle ABD is 56cm2. Work out the length of CD
Answer:
8.2
Step-by-step explanation:
Area of triangle is calculated by multiplying height to the base and that divided by two
20 × h ÷ 2 = 56^2
h = 5.6
The square length of CD is equal to sum of square length of height and base
6^2 + 5.6^2 = CD^2
CD = 8.2
Please help. I need the answers to these. I don't get Trigonometry at all.
Answer:
below
Step-by-step explanation:
sin 24° =0.4 cos 45° =[tex]\frac{\sqrt{2} }{2}[/tex] tan 88° = 28.63Answer:
1) -.91
2) .53
3) .04
Step-by-step explanation:
[tex]sin(24)[/tex] = -.905578362
-.91 rounded to the nearest hundredth
[tex]cos(45)[/tex] = .5253219888
.53 rounded to the nearest hundredth
[tex]tan(88)[/tex]= .0354205013
.04 rounded to the nearest hundredth
brainliest plus 20 points!
If events A and B are non-overlapping events, how do you find the probability that one or the other occurs?
The probability of two non-overlapping events A or B happening is:
p(A or B) = p(A) + p(B)
if you add an image of the question you are trying to answer, I can explain it better.
Answer:
If events A and B are non-overlapping events.
P(A or B) = P(A) + P(B)
To find the probability that one or the other occurs, you add the probability of both events occurring together.
Subtract: 2 square root -8 -3 square root -18
Answer:
[tex] - 5 \sqrt{ - 2} [/tex]
Step-by-step explanation:
We can write sq root (- 18) as = sq root [3 x 3 x (-2)]
Similarly sq root ( - 8) = sq root [2 x 2 x (-2)]
2 sq root [2 x 2 x (-2)] - 3 sq root [3 x 3 x(-2)]
We simply,
2 x2 sq root (-2) - 3 x 3 sq root (-3)
4 sq root (-2) - 9 sq root (-2)
Bcoz sq root (-2) is common in bot term so
So
Sq root (-2) (4-9)
-5 sq root (-2) answer
A college reported that 40% of its population is male. Nine students are selected at random The mean is Answer .The standard deviation is . (Round to the nearest hundredth, if necessary.) The shape of the distribution is
Answer:
Step-by-step explanation:
This is a binomial distribution because there are only two possible outcomes. It is either a randomly selected student is a male or a female. In this scenario, the probability of success, p is that a randomly selected student is a male and it is the same for any given number of trials. Therefore,
p = 40/100 = 0.4
The probability of failure, q would be that a randomly selected student is a female.
q = 1 - p = 1 - 0.4 = 0.6
Number of trials, n = 9
Therefore,
Mean = np = 9 × 0.4 = 3.6
Standard deviation = √npq = √9 × 0.4 × 0.6 = 1.47
The shape of the distribution is asymmetric.
What is 98% of £7
Please help ASAP
Answer:
£6.86
Step-by-step explanation:
10%=0.7
0.75*98=6.86
Answer:
£6.86
Step-by-step explanation:
98% × 7
0.98 × 7
= 6.86
98% of £7 is £6.86.
The scale on a map indicates that 1 cm represents 50 km. If two cities are 400 km apart, then how far apart would the cities be on this map?
Answer:
8 cm apart
Step-by-step explanation:
First, let's consider our unit rate.
1 cm = 50 km
Next, divide 400 km (the distance between two cities) by 50 (the unit rate).
400/50 = 8 km
There you go! The two cities are 8 km apart!
Hope this helps you and maybe earns a brainliest!!
Bye!
If two cities are 400 km apart. Then the length of distance between the cities on this map will be 8cm.
What is dilation?Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.
The scale on a map indicates that 1 cm represents 50 km.
Then the scale factor will be 1/50.
If two cities are 400 km apart.
Then the length of distance between the cities on this map will be
⇒ 400 x (1/50)
⇒ 8 cm
More about the dilation link is given below.
https://brainly.com/question/2856466
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