Solve ABC given A= 74 , a= 126, b=84
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Please solve with explanation (high points)
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The measure of the length GF is 4.2 units and IH is 2.27 units. Then the measure of angle ∠ACB will be 24.35°.
What is the triangle?A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
The triangle ΔABC and triangle ΔGFC are similar triangles. Then we have
GF / BA = CF / BC
GF / 5.62 = 8.88 / 12.42
GF = 4.018
GF ≅ 4.02
The triangle ΔABC and triangle ΔIHC are similar triangles. Then we have
IH / BA = HC / BC
IH / 5.62 = 5.02 / 12.42
IH = 2.271
IH ≅ 2.27
Then the angle ∠ACB will be
∠ACB = tan⁻¹ (5.62 / 12.42)
∠ACB = tan⁻¹ 0.452
∠ACB = 24.35°
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what is the second term in the sequence: 5, 10, 15, 20?
A. 5. B. 11 C. 15 D. 20
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Answer:
a ............,....
Step-by-step explanation:
....
....,,
a natural number when divided by 12 15 18
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Answer:
173
Step-by-step explanation:
Assume the natural number is x.
x/12 = ... R 5
x/15 = ... R 8
x/18 = ... R 11
Thus, x+7 is divisible by 12, 15 and 18 all together.
The smallest possible number of x+7 can be calculated with prime factorization.
12=2^2 * 3
15=3 * 5
18=2 * 3^2
The smallest possible number for x+7 is 2^2 * 3^2 * 5 = 4 * 9 * 5 = 180.
Therefore, the smallest possible solution for x is 180 - 7 = 173.
Lol I’m so lazy
Click on the pic there is the question
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Answer:
$212.55
Step-by-step explanation:
hope it helps and give brainliest
Step-by-Step Explanation:
=> $125.60 + $48.75 + $9.20 + $29
= $174.35 + $9.2 + $29
= $174.35 + $38.2
= $212.55
Christine's parents gave her $70 to spend at the Topsfield Fair. She spent $10 on flowers and needs to buy vases. Each antique flower vase at the fair costs $3. Which represents the number of antique flower vases Christine can buy?
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Answer:
a ≤ 20
Step-by-step explanation:
a = number of lower vases, in $
3a = cost of a flower vases, in $
10 + 3a = = cost of $10 worth of flowers plus a vases
10 + 3a ≤ 70 says that the cost of Christine's flowers and vases purchase
must be less than, or at most equal to $70.
Subtracting 10 rom both sides of the inequalour
gives us an equivalent inequality
3a ≤ 70 - 10 <---> 3a ≤ 60
Multiplying (or dividing) both sides by a positive number
gives us an equivalent inequality, so
a ≤ 60/3 <---> a ≤ 20
sin(x)
1 – cos(x) – cot(x) = csc(x)
Pls help..
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Answer:
pls find given attachment
Please help and show work if possible thanks
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Step-by-step explanation:
a.
the arc angle AC = 180° (since this is a diameter).
the arc angle BC = 60°.
so,
arc angle AB = arc angle AC - arc angle BC = 120°.
b.
the exterior angle of a circle segment at the circle arc is half of the interior angle at the center of the same segment.
the angle A = arc angle BC / 2 = 30°.
c.
the same principle as in b.
the angle C = arc angle AB /2 = 60°.
d.
the arc angle AD = the angle at AOD (that is how arc angles are defined).
the angle AOD = the angle AOF.
the sum of all angles in a triangle is always 180°.
angle AOD = AOF = 180 - 90 - angle A = 60°.
e.
as explained, this is the same as the arc angle AD and therefore the same as d.
it is 60°.
f.
the arc angle CE = the arc angle AD = 60°.
remember, the angles of intersecting lines are the same (just side mirrored) on both sides of each line.
g.
the arc angle ABE = arc angle AB + arc angle BC +
+ arc angle CE = 120 + 60 + 60 =
= 240°
h.
the angle AOE = the arc angle AE = the remainder of 360 minus the arc angle ABE of g.
so, angle AOE = 360 - 240 = 120°
Find the simple interest charged for a loan of:
a $2000 for 3 months at 1.1% per month
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Answer:
$5.50
Step-by-step explanation:
I = Prt
P = $2,000r = 1.1% = 0.011t = 3 months = 0.25 yearsSolving :
I = (2,000)(0.011)(0.25)I = (500)(0.011)I = $5.50If a bag of marbles contains 10 blue and 30 green, what is the complement for the probability of choosing a green marble.
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Answer:3/4
Step-by-step explanation:there are 30+10=40 marble
you choose 30 green. 30/40=3/4
Let A = {1, 2, 3} and R be the following relation on A;
R = {(1, 1), (1, 2), (1, 3), (3, 1), (2, 3)}
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Answer:
The relation is reflexive as
(1,1),(2,2),(3,3)∈R
(2,1)∈R will not imply (1,2)∈R,
hence R is not symmetric
(2,1),(1,3)∈R doesn't imply (2,3)∈R, hence R is not transitive
Step-by-step explanation:
hope this helps if not let me know have a blessed day
Which fraction is shown on the number line?
A number line from 0 to 1. There are 4 unnumbered points between 0 and 1. There is a circle is on the fourth point.
One-fifth
One-fourth
Four-fifths
Five-sixths
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Find the solution for x2+4x-9=c+1
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Answer: c= [tex]x^{2}[/tex] +4x-10
Step-by-step explanation:
Step 1: Flip the equation.
C+1= [tex]x^{2}[/tex]+4x-9
Step 2: Add -1 to both sides.
c+1+-1=[tex]x^{2}[/tex]+4x-9+-1
c=[tex]x^{2}[/tex]+4x-10
A square is shown below. Which expression can be used to find the area, in square units, of the shaded triangle in the square
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Answer:
1/2 × 6 × 6
Step-by-step explanation:
the triangle takes up half of the square
the area of a square = side length²
side length = 6
so area of square = 6² = 6 × 6
because the triangle takes up half of the square
the area of the shaded triangle would = 1/2 × 6 × 6
Find the Product:
0.2 x 0.3
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Answer:
0.06
Step-by-step explanation:
The product of 2 numbers means that we have to multiply them.
So, we do 0.2 x 0.3 = 0.06
To do this, we convert the decimal fractions into whole numbers by multiply both by 10.
ie. 0.2 x 10 = 2
and
0.3 x 10 = 3
Now multiply together
2 x 3 = 6.
However, we have to remember that we multiplied both numbers by 10 (ie. 10 x 10 = 100) so we must remember to divide the answer by 100
...0.06
Hope this helps!
- profparis
Answer:
=0.06
Step-by-step explanation:
0.2
× 0.3
= 0.06
therefore the answer is 0.06
On the coordinate plane shown below, points H and F have coordinates ( − 2 , − 3 ) and ( − 4 , 2 ) , respectively. Use the distance formula to determine the straight line distance between points H and F . In your final answer, include all of your calculations.
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Answer:
[tex]\sf \sqrt{29}[/tex]
Step-by-step explanation:
To find the distance between points H(-2, -3) and F(-4, 2), use the distance formula.
[tex]\boxed{\begin{minipage}{7.4 cm}\underline{Distance Formula}\\\\$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$\\\\\\where:\\ \phantom{ww}$\bullet$ $d$ is the distance between two points. \\\phantom{ww}$\bullet$ $(x_1,y_1)$ and $(x_2,y_2)$ are the two points.\\\end{minipage}}[/tex]
Substitute the points into the distance formula and solve for d:
[tex]\begin{aligned}d&=\sqrt{(x_F-x_H)^2+(y_F-y_H)^2}\\\\&=\sqrt{(-4-(-2))^2+(2-(-3))^2}\\\\&=\sqrt{(-4+2)^2+(2+3)^2}\\\\&=\sqrt{(-2)^2+(5)^2}\\\\&=\sqrt{4+25}\\\\&=\sqrt{29}\end{aligned}[/tex]
Therefore, the exact distance between points H and F is [tex]\sf \sqrt{29}[/tex].
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Tell whether the following ratios shows proportion or not. Write
your answer on the space provided before each number.
_________ 1. 2:10 = 1:5
_________ 2. 3:6 = 6:3
_________ 3. 5:15 = 1:3
_________ 4. 12:4 = 6:2
_________ 5. 5:15 = 1:3
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Answer:
1. Proportion
2. Not Proportion
3. Proportion
4. Proportion
5. Proportion
Step-by-step explanation:
Hope it helps you :))))))
Have a good day
16. Is the following sequence arithmetic? If so, identify the common difference. -9, -6, -3, 0,..
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Answer:
yes its arithmetic, and the common difference is 3
Step-by-step explanation:
-9, -6, -3, 0
-6 - (-9) = 3
-3 - (-6) = 3
0 - (-3) =3
Which term best describes the shape of this distribution?
normal
skewed left
skewed right
uniform
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The shape of the distribution described the Left skewed.
What is left- skewed histogram?A left skewed histogram is a histogram that attains a peak (which is the mode) towards the right side of the graph and has a “tail” towards the left side.
A histogram in which most of the data falls to the left of the graph's peak is known as a left-skewed histogram.
A left-skewed histogram is a type of histogram that is not symmetrical and in which the peak of the graph lies to the right of the middle value or the median.
Hence, considering the above definition the given histogram data falls on right side.
So, it is left skewed graph.
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Find x. (x+10)+(3x-5)+x=180
For a triangle
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Explanation: Remove the parentheses because they’re not important for this particular problem. Then combine all liked terms. Then you should be able to solve it like a normal algebraic problem.
What are the x-intercepts of the graph of the given function f(x)=3(x+7)(x-9) show your work
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Answer:
x intercepts = (9,0), (-7,0)
Step-by-step explanation:
First lets expand the factored equation.
f(x) = 3(x + 7) (x - 9)
.... = 3x + 21 (x - 9)
....= 3x^2 - 27x - 21x - 189
....= 3x^2 - 6x - 189
lets make the quation equal to 0 and use the Factorization method to solve for x.
3x^2 - 6x - 189= 0
3(x^2 - 2x - 63) = 0
3(x - 9) (x + 7) = 0
x - 9 = 9 and x + 7 = -7
x = 9,
x = -7
Each has a radius of 5 in and a height of 12 in. How much more water can the cylinder hold than the cone? (Use л=3.14)
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The cylinder holds 3 times more water than the cone
volume of the cylinder is (pi) (r^2) (height), volume of the cone is (1/3)(pi)(r^2)(height)
Cone is 1/3 of cylinder volume so cylinder holds 3 times the amount
Cylinder holds 942 cu units, cone holds 314,
Answer cylinder holds 628 cu units more than cone
cyl= 3.14 x 5^2 x 12=942
Cone= 1/3 x 3.14 x 5^2 x 12 = 314
two fair coins are thrown at the same time.The random variable X is the number of throws of the two coins required to obtain two tails at the same time.Find the probability that two tails are obtained for the first time on the 7th throw.
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Step-by-step explanation:
when throwing 2 coins, there are 4 equally probable outcomes :
1 head 1 tail
1 tail 1 head
2 heads
2 tails
so, each outcome has a probability of 1/4.
the probability to not get 2 tails is the sum of the probabilities of 3 of these outcomes. so, it is
3/4.
to get 2 tails first at the xth attempt means that it did not happen at all x-1 attempts before.
that probability for that is
(3/4)^(x-1)
and then it happens. the probability for that is 1/4.
so, the total probability for that event is
(3/4)^(x-1) × 1/4 = (3^(x-1)) / (4^x)
so, for x = 7 that gives us a probability of
3⁶ / 4⁷ = 729 / 16384 = 0.044494629...
PLEASE HELP ASAP
What is an
equation of the line that passes through the points (3,3) and (3, -3)
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Thus, slope is not defined. So there is no equation.
Ms. Wall will roll a dice. What is
the probability that she will roll an even number?
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Answer:
50%
Step-by-step explanation:
half of the numbers on dice are even
What is
24
1,000
as a decimal?
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Help me on this!! Asap!!
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Answer:
D. Fundamental Principle of CountingD. 32B. 12 waysD. 24B. 18Step-by-step explanation:
Q1
The Fundamental Principle of Counting states that we can find the total number of ways that two or more separate tasks can happen by multiplying the number of ways each task can happen separately.Q2
No. of ways = 2⁵ = 32Q3
No. of ways = 4 x 3 = 12 waysQ4
⁴P₃ = 4! / 1! = 4 x 3 x 2 = 24Q5
No. of ways = 2 x 3 x 3 = 18Can someone help me with number 2 please?
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Answer:
I notice that the size of the watermelons has grown at a steady positive rate over the seven days.
dentify the 17th term in the arithmetic sequence.
a1 = 11, d = −2
PLEASE HELP!!!!! IMA DESPRATE
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The arithmetic sequence has a common difference, and a first term and the 17th term in the arithmetic sequence is -21
How to determine the 17th term?The given parameters are:
First term, a = 11Common difference, d = -2The nth term of an arithmetic progression is:
Tn = a + (n - 1)d
So, we have:
T17 = a + 16d
Substitute the given values
T17 = 11 - 16 * 2
Evaluate
T17 = -21
Hence, the 17th term in the arithmetic sequence is -21
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What kind of reasoning is used here? If a = b and c = d, then a − c = b − d
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The reasoning used here is coding and decoding.
What are coding and decoding?Coding is a portion of the logical reasoning element that is used to encrypt words, numbers, or codes utilizing specified rules and regulations. The process of decoding patterns into their original forms from supplied forms is known as decoding.
We have an expression:-
a = b and c = d, then a − c = b − d
Therefore the reasoning used here is coding and decoding.
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On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 3, negative 7) and (0, 2). Everything to the left of the line is shaded.
Which linear inequality is represented by the graph?
y < 3x + 2
y > 3x + 2
y < One-thirdx + 2
y > One-thirdx + 2
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The linear inequality is represented by the graph will be, y > 3x + 2. Option B is correct.
What is linear inequality?Linear inequalities involve at least one linear algebraic expression. A polynomial of degree 1 is compared to another algebraic expression of degree less than or equal to 1.
The line is passes through the following points;
(x₁,y₁) to (x₂,y₂)
(-3,-7) to (0,2)
The equation is found as;
[tex]\rm y-y_1 = \frac{y_2-y_1}{x_2-x_1 } (x-x_1)\\\\\ \rm y-(-7) = \frac{(2-(-7))}{(0-(-3))} (x-(-3))\\\\ y+7 =\frac{9}{3} (x+3)\\\\ y+7 = 3x+9 \\\\ y=3x+2[/tex]
The graph because the shading is above the line and does not include the line.
The linear inequality is represented by the graph will be, y > 3x + 2
Hence, option B is correct.
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