Answer:
(x - 5)(x + 2)
Step-by-step explanation:
Class width is 2
Find mode
Answer:
7.22
Step-by-step explanation:
solved in the diagram
Can someone work please so I can understand how
Answer:
[tex]\text{A. }\frac{4\sqrt{14}}{{7}}[/tex]
Step-by-step explanation:
In any right triangle, the tangent of an angle is equal to its opposite side divided by its adjacent side. Therefore, we can form a right triangle with non-right angle [tex]\theta[/tex] and its opposite side [tex]\sqrt{7}[/tex] and its adjacent side [tex]5[/tex].
By definition, [tex]\csc \theta=\frac{1}{\sin\theta}[/tex].
In any right triangle, the sine of an angle is equal to its opposite side divided by the hypotenuse, or longest side, of the triangle. To find the hypotenuse, use the Pythagorean Theorem: [tex]a^2+b^2=c^2[/tex], where [tex]c[/tex] is the hypotenuse, or longest side, of the right triangle and [tex]a[/tex] and [tex]b[/tex] are the two legs of the triangle.
Solving, we get:
[tex]5^2+\sqrt{7}^2=c^2,\\25+7=c^2,\\c^2=32,\\c=\sqrt{32}=4\sqrt{2}[/tex]
Therefore, we have:
[tex]\csc \theta = \frac{1}{\sin \theta}=\frac{1}{\frac{\sqrt{7}}{4\sqrt{2}}},\\\\\csc \theta=1\cdot \frac{4\sqrt{2}}{\sqrt{7}},\\\\\csc \theta =\frac{4\sqrt{2}}{\sqrt{7}}\cdot \frac{\sqrt{7}}{\sqrt{7}}=\boxed{\text{A. }\frac{4\sqrt{14}}{{7}}}[/tex]
Answer: Choice A) [tex]\frac{4\sqrt{14}}{7}[/tex]
======================================================
Explanation:
Refer to the figure below. We start off drawing a right triangle that has opposite side sqrt(7) and adjacent side 5.
This is because tan = opposite/adjacent.
Use the pythagorean theorem to find the hypotenuse is sqrt(32) which simplifies like so
sqrt(32) = sqrt(16*2) = sqrt(16)*sqrt(2) = 4*sqrt(2)
The last thing to do is to take the ratio of the hypotenuse over the opposite side. Recall that csc, aka cosecant, is the reciprocal of sine.
sin = opposite/hypotenuse
csc = hypotenuse/opposite
---------
So we get the following
[tex]\csc{\theta} = \frac{\text{hypotenuse}}{\text{opposite}}\\\\\csc{\theta} = \frac{4\sqrt{2}}{\sqrt{7}}\\\\\csc{\theta} = \frac{4\sqrt{2}*\sqrt{7}}{\sqrt{7}*\sqrt{7}}\\\\\csc{\theta} = \frac{4\sqrt{2*7}}{\sqrt{7*7}}\\\\\csc{\theta} = \frac{4\sqrt{14}}{\sqrt{49}}\\\\\csc{\theta} = \frac{4\sqrt{14}}{7}\\\\[/tex]
So that's why the answer is choice A.
Hey guy, can yall please help me?
Answer:
x is greater than or equal to 3
Step-by-step explanation:
x ≥ 3
x is greater than or equal to 3
so you got the plot right
Please help me I’ll mark as brainliest.
Answer:
Step-by-step explanation:
6x² + 108x + 707 = 5
Subtract 707 from both sides
6x² + 108x = 5 - 707
6x² + 108x = - 705
Divide the whole equation by 6
[tex]\frac{6x^{2}}{6}+\frac{108x}{6}= \frac{-702}{6}\\\\x^{2}+ 18x = - 117\\[/tex]
Divide 18 by 2 = 9
Add 9² to both sides
x² + 18x + 9² = -117 + 9²
x² + 18x + 81 = -117 + 81
(x + 9)² = - 36
Answer:
(x + 9)^2 = -36
Step-by-step explanation:
6x^2 + 108x + 707 = 5
6x^2 + 108x = -702
x^2 + 18x = -117
x^2 + 18x + (18/2)^2 = -117 + (18/2)^2
x^2 + 18x + 81 = -117 + 81
(x + 9)^2 = -36
Please help I’ll give brainliest
Answer:
v = 27,000 mm³
Step-by-step explanation:
v = s³
v = 30³
v = 27,000 mm³
I will give BRAINLIEST to the correct answer
Find the measure of angle 6.
Answer:
m∠6 = 116°
Step-by-step explanation:
first find x:
7x - 17 = 2x + 78
subtract 2x from both sides: 5x - 17 = 78
add 17 to both sides: 5x = 95
divide by 5: x = 19
plug x into 7x - 17
7(19) - 17 = 116
∠6 and 7x - 17 are vertical angles and therefore congruent, so m∠6 also = 116°
Don’t need to send the math or anything just need the answer will give brainliest!!!
Answer:
920
Hope that this helps!
I need some help; if you don't know the answer, don't answer
Answer:
B is the right answer and if you want learn this, than learn algebric expression
Suppose the hypotenuse of a right triangle is 13 cm and one of the legs is 10 cm. Use the Pythagorean Theorem to find the measure of the triangle’s other leg.
Answer:
3
Step-by-step explanation:
Pythagorean rule
[tex]hyp = opp + adj \\ therefore. \\ opp = hyp - adj \\ and \\ adj = hyp - opp[/tex]
opp=13-10
opp=3
Last year, 260 students went to the senior prom at M&T Bank Stadium. This year, the number of students who attended senior prom increased by 9%. How many students attend the senior prom at M&T Bank Stadium this year? Round you answer to the nearest whole number.
Answer:
283 people went this year to the stadium.
Step-by-step explanation:
Let's put this data into pieces so it's less overwhelming.
Last year 260 students went to the prom.
Currently the number of students who attended has increased by 9% from last year.
And the question is asking how many students attended this year?
Well, if this is increasing by 9%, wouldn't we just find 9% of 260 then add it to 260?
0.09 * 260 = 23.4
260 + 23.4 = 283.40. Obviously we can't have 40% of a human being, so let's round it to 283.
Question 4 of 10 Based only on the information given in the diagram, it is guaranteed that A ABC - AXYZ. 3 Y Z O A. True B. False
Answer: True
Step-by-step explanation:
We know in every triangle all the angles add up to 180 so for triangle ABC if you add the 52 to the 90 you’ll find the answer to be 142 if you subtract this then from 180 you’ll find 38 to be your answer
Therefore if you add the 38 the 52 and the 90 you’ll get 180
Based only on the information given in the diagram, it is guaranteed that Δ ABC ≅ Δ XYZ. It is true that Δ ABC ≅ Δ XYZ. Option A is correct.
What are the conditions of the congruent triangle?Triangles that are equivalent in terms of size and form are known as congruent triangles.
It is certain that XYZ gave simply the facts in the diagram, traingle ABC, and XYZ is similar. It is true that triangles XYZ and ABC are similar.
The angle of triangles ABC and XYZ is;
∠A= 180° -(90+52) = 38°
∠B= 90°
∠C=38°
∠X=38°
∠Y=90°
∠Z=180° -(90+38°) = 52°
∠B =∠Y=90°
Based only on the information given in the diagram, it is guaranteed that Δ ABC ≅ Δ XYZ. It is true that Δ ABC ≅ Δ XYZ.
Hence, option A is correct.
To learn more about the congruent triangle refer;
https://brainly.com/question/12413243
#SPJ2
Find the slope of the line through the points(-4,-7) and (4,3)
Answer:
4/5
Step-by-step explanation:
The first point (-4, -7) lies in the third quadrant and the second one in the first quadrant. This tells us immediately that the slope is positive; y increases as x increases. The change in x is 4 - (-4), or 8; this is the 'run.' The change in y is 3 - (-7), or 10; this is the 'rise.'
Thus the slope of this line is m = rise/run = m = 8/10, or m = 4/5
The rule g = b + 3 expresses the relationship between the
number of girls g and the number of boys b in a classroom.
Rewrite this rule another way.
Answer:
g = 3 + b
b + 3 = g
3 + b = g
Step-by-step explanation:
Answer:
[see below]
Step-by-step explanation:
Rewriting the rule so 'b' would be the subject:
[tex]g = b + 3\\\\g - 3 = b + 3-3\\\\g-3=b\\\\\boxed{b=g-3}[/tex]
Hope this helps.
Please help my teacher will kill me
María compra mercancía por valor $2.000.000 la cual tiene una utilidad estimada del 25%, ella desea saber el valor que ganara al vender toda su mercancía ¿Cuál sera el valor que corresponde a las ganancias de maría?
Answer:
Maria buys merchandise worth $ 2,000,000 which has an estimated profit of 25%, she wants to know the value that she will earn by selling all her merchandise. What will be the value that corresponds to Maria's earnings?
Step-by-step explanation:
2,500,000 $ worth of merchandise
Select the graph that would represent the best presentation of the solution set.
|xl > 5
Can someone help
Write an equivalent expression for
63.62.65.6.
When multiplying the same number raised to different powers add the powers together.
3 + 2 + 5 = 10
Because you are also multiplying a value without a power you need to add 1 to the sum of the powers:
10 + 1 = 11
Answer: 6^11
please answer this !!
x/2 + 50
Answer:
x = 260
Step-by-step explanation:
Add the two angles together. They will sum to 180
x/2+ 50 = 180
Subtract 50 from each side
x/2+50-50 = 180-50
x/2 = 130
Multiply by 2
x/2*2 = 130*2
x = 260
Answer:
260°
Step-by-step explanation:
To calculate the two angles together . They will added to 180°.x / 2 + 50° = 180°
Subtract 50° from each side
x/2 + 50° - 50° = 180° - 50°
x / 2 = 130°
Multiply each side by 2
2 × x/2 = 130° × 2
x = 260°
Please answer correctly to get brainliest
Answer:
Step-by-step explanation:
This is only my guess, as I haven’t done this topic in a few months
A. 398/427
0.93
B. 123/1192
0.10
C. 339/403
0.84
Find the surface area of a cylinder with a height of 10 inches and base diameter of 6 inches.
______ square inches
Answer:
The surface area of cylinder is 244.92 inches²
hope it helps
have a nice day
Use long division to find the quotient below.
(8x) + 20x2 + 36) divide (2x+6)
A. 4x2 - 6x+6
B. 8x2 - 8x+6
C. 4x2 - 2x+6
D. 8x2 - 4x + 6
Given:
[tex]8x^3+20x^2+36[/tex] divided by [tex](2x+6)[/tex].
To find:
The quotient by using long division method.
Solution:
We have,
Dividend = [tex]8x^3+20x^2+36[/tex]
Divisor = [tex](2x+6)[/tex]
Using long division method we get
[tex]\underline{2x+6}|\overline{8x^3+20x^2+0x+36}|\underline{4x^2-2x+6}[/tex]
[tex]\underline{8x^3+24x^2}[/tex]
[tex]-4x^2+0x[/tex] (After subtraction)
[tex]\underline{-4x^2-12x}[/tex]
[tex]12x+36[/tex] (After subtraction)
[tex]\underline{12x+36}[/tex]
[tex]\underline{\quad 0\quad }[/tex] (After subtraction)
The quotient is [tex]4x^2-2x+6[/tex].
Therefore, the correct option is C.
A typical serving of fish is 4 ounces. What is this serving size in grams?
Answer:
the answer is 113.398 grams
Question 3 (Multiple Choice Worth 1 points)
(06.05 LC)
The two-way table shows the number of students in a school who like reading and/or gardening.
Like Reading
Do Not Like Reading
Total
Like Gardening
32
?
58
Do Not Like Gardening
19
23
42
Total
51
49
100
What is the missing number in the table?
16
19
26
0
90
Answer:
26
Step-by-step explanation:
Horizontally:
Like reading = 32
Do not like reading = ?
Total = 58
Total = Like reading + Do not like reading
Do not like reading = Total - Like reading
= 58 - 32
= 26
Do not like reading = 26
Vertically:
Like gardening =
Do not like gardening = 23
Total = 49
Total = Like gardening + Do not like gardening
Like gardening = Total - Do not like gardening
= 49 - 23
= 26
Like gardening = 26
Therefore,
The missing number in the table is 26
. A man travels 13km by bus , 8km by car and y km by train . If the man has to travel a total of 30 km , find y. *
Answer:
9km
Step-by-step explanation:
30-(13+8)=9km
I hope you understand
Determine whether the dilation from the figure on the left to the figure on the right is an enlargement or a reduction. Then find the scale factor of the dilation.
A : Reduction scale factor 1/14
B : Enlargement; scale factor 14
C : Enlargement scale factor 0.5
Answer:
A.
Step-by-step explanation:
we are going from a large shape to a smaller shape. the proof is that the side lengths go down from 7m to 0.5m. so, it is a reduction.
and the scaling factor s ? what do we need to multiply the original side lengths with to get the new ones ?
7 × s = 0.5 = 1/2
s = (1/2)/7 = (1/2)/(7/1) = (1×1)/(2×7) = 1/14
=> answer A is correct
The dilation from the figure on the left to the figure on the right is a reduction.
Reduction scale factor 1/14.
The correct option is A.
What is a scale factor?The ratio of the scale of an original thing to a new object that is a representation of it but of a different size is known as a scale factor (bigger or smaller).
Given:
We have given that two figures.
The dilation from the figure on the left to the figure on the right is a reduction.
And the scale factor is,
= actual / scale
= 1/(7 / 0.5)
= 1/14
Therefore, the scale factor is 1/14.
To learn more about the scale factor;
https://brainly.com/question/29464385
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Using f(x) = 8x + 5 and g(x) = 7x - 2, find:g(f(6))
Answer:
369
Step-by-step explanation:
g(f(x)) simply means to put the whole expression of function f(x) into the place of "x" in g(x).
and to find the functional value for a specific x we just need to calculate functional value for f(x) and use that result as input for g(x).
f(6) = 8×6 + 5 = 48 + 5 = 53
and now
g(53) = 7×53 - 2 = 371 - 2 = 369
to check we do the general functional substitution :
g(f(x)) = 7×(8x+5) - 2 = 56x + 35 - 2 = 56x + 33
g(f(6)) = 56×6 + 33 = 336 + 33 = 369
correct
I need help with this question
v2–2v–24
Answer:
(v - 6)(v + 4)
Step-by-step explanation:
v² - 2v - 24
v² + 4v - 6v - 24
v(v + 4) - 6(v + 4)
(v - 6)(v + 4)
1. Jennifer bought 4 1/2 pounds of hamburger for $22.50.
What was the cost per pound?
Answer:
.20$
Step-by-step explanation:
4 1/2=4.5
4.5 divided by 22.50=.20
Answer: Jennifer bought 4 1/2 pounds of hamburger for $22.50.
What was the cost per pound?
.20cents
Kevin correctly answered 75% of 32 test questions.
Part A
How many questions did Kevin answer correctly?
Part B
How many more questions would Kevin have to answer correctly to get more than 80% correct?
Answer:
part a-24 questions
part b-2 or 3 more questions
Step-by-step explanation:
part a-to find the number, change the percent into a decimal (.75) and multiply (24)
part b-first find how many questions need to be right to get 80% (.80 times 32=25.6). then subtract by how many he would get with a 75% (25.6-24=about 2 to 3 more questions, rounded 2)
Joe bought a cylindrical water tank for his garden, but he forgot to ask the seller what the diameter of the tank was. He needs to know the diameter of the tank so that he can build a platform for it to sit on. The seller told him the Volume and the height, calculate the diameter of the tank using the information below. The volume of the tank is 300π 〖ft〗^3 and its height is 10ft.
Answer:
1.7ft
Step-by-step explanation:
Given data
Volume of tank= 300π 〖ft〗^3
Height of tank= 10ft
The expression for the volume of a cylinder is given as
Volume= πr^2h
Substitute
300π = π *r^2*10
300= r^2*100
3= r^2
r= √3
r= 1.7 ft
Hence the radius of the cylinder is 1.7ft