Answers
Answer:
<S = 62 degrees
Step-by-step explanation:
For this problem, you need to understand two things. A line tangent to a circle's radius creates a 90-degree angle, and the sum of the interior angles of a triangle is 180 degrees. With that said, let's continue.
<S + <P + <Q = 180
<S + 90 + 28 = 180
<S + 118 = 180
<S = 62
Hence, <S = 62 degrees.
Cheers.
Related Questions
ratio
simplify
4x:9=7:3
Answers
Answer:
4x:9=7:3 can be written as
[tex] \frac{4x}{9} = \frac{7}{3} [/tex]
Cross multiply
We have
4x(3) = 9 × 7
12x = 63
Divide both sides by 12
[tex]x = \frac{21}{4} \: \: \: \: \: or \: \: \: 5 \frac{1}{4} [/tex]
Hope this helps you
Answer:
[tex]\boxed{x=\frac{21}{4}}[/tex]
Step-by-step explanation:
[tex]4x:9=7:3[/tex]
Turn ratios to fractions.
[tex]\frac{4x}{9} =\frac{7}{3}[/tex]
Cross multiplication.
[tex]4x \times 3 = 9 \times 7[/tex]
Simplify.
[tex]12x=63[/tex]
Divide both sides by 12.
[tex]x=\frac{63}{12}[/tex]
[tex]x=\frac{21}{4}[/tex]
A point with coordinates (a, b) is plotted on a coordinated plane. The values of a and b can be any positive or negative integer.
What must be true about the point ( a, b)?
A) It is flipped across the
y- axis from the original point
B) it is flipped across the
x-axis from the original point
C) it is in the quadrant diagonal to the original point
D) it is in the same quadrant as the original point, but in a different location
Answers
Answer:
I think it's x-axis.
Step-by-step explanation:
but me could me wrong
Answer:
The correct answer to this question would be C.
Step-by-step explanation:
took the test. Hope this helps!
Find arc length. (NEED ASAP)
Answers
5.23 m
in cm 523 cm
nearest tenth 520cm
Step-by-step explanation:
60 / 360 × 2 ×22/7 × 5
110/ 21
5.23m
Answer:
5,2(3) meters
Step-by-step explanation:
Find arc lengthFormula
arc length = 2π·r (x°/360°)
= 2π·5m(60°/360°)
= 2·3,14·5m·1/6
= 31,4m/6
= 5,2(3) meters
27. The area of a square plot is 0.0324 hectares. It was fenced using 3
strands of wire. What was the total length of wire used?
O A 72
O 8.144 m
O com
O 0.216
Answers
Answer: 0.216 km .
Step-by-step explanation:
Given, The area of a square plot is 0.0324 hectares.
Since , 1 hectare =10,000 meters
Then, the area of a square plot = 10,000 x 0.0324
= 324 meters
Area of square = side²
[tex]\Rightarrow\ (\text{side})^2=324\\\\\Rightarrow\ \text{side}=\sqrt{324}=18\ m[/tex]
Perimeter = 4(side) = 4 x 18 = 72 m
Since it was fenced using 3 strands of wire.
So, Total length of wire used = 3 (Perimeter) = 3 (72)m
= 216 m
Hence, the total length of wire used 216 m.
In km , 216 m = 0.216 km [ 1 m = 0.001 km]
Hence, the correct option is 0.216 km .
A ladder placed against a vertical wall subtends an angle of 45 degree with the wall. The distance between the foot of the ladder and the wall is 15m, calculate the length of the ladder, correct to the nearest whole number.
Answers
Answer:
we can calculate it by applying trigonometric ratios
Step-by-step explanation:
tan 45 = length of wall/distance between ladder and wall
1 = length of wall/15
length of wall = 15m
(length of wall[tex])^{2}[/tex] + (distance between ladder and wall[tex])^{2}[/tex] = (length of ladder[tex])^{2}[/tex]
length of ladder = [tex]\sqrt{15^{2} + 15^{2} }[/tex]
= [tex]\sqrt{450}[/tex]
= 21.21 m
Given the geometric sequence where a1 = −1 and the common ratio is 7, what is the domain for n? A. All integers B. All integers where n ≥ −1 C. All integers where n ≥ 0 D. All integers where n ≥ 1
Answers
Answer:
D
Step-by-step explanation:
Hello, This is a geometric sequence where the first term is [tex]a_1=-1[/tex].
It means that the sequence is [tex](a_n)_{n\geq 1}[/tex].
In other words, as the common ratio is 7 the sequence is defined by
[tex]a_1=-1[/tex]
[tex]a_{n+1}=a_n\cdot 7 \ \ \text{ for n }\geq 1[/tex]
For instance, we can estimate the first terms:
[tex]a_1=-1\\\\a_2=7a_1=-7\\\\a_3=7a_2=-49[/tex]
And we know that we can even find a formula for the [tex]n^{th}[/tex] term of the sequence by:
[tex]a_n=a_1\cdot 7^{n-1}=-7^{n-1}[/tex]
Now, to answer the question, the domain for n is all integers where [tex]n\geq 1[/tex].
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
James determined that these two expressions were equivalent expressions using the values of y=4 and yu 6. Which
statements are true? Check all that apply
7x+4 and 3x+5+4x-1
When - 2. both expressions have a value of 18.
The expressions are only equivalent for X-4 and X- 6.
The expressions are only equivalent when evaluated with even values.
The expressions have equivalent values for any value of x.
The expressions should have been evaluated with one odd value and one even value.
When - 0, the first expression has a value of 4 and the second expression has a value of 5.
The expressions have equivalent values if X-
Answers
Answer with explanation:
Two or more Algebraic expressions are said to be equivalent, if both the expression produces same numerical value , when variable in the expressions are replaced by any Real number.
The two expressions are
1. 7 x +4
2. 3 x +5 +4 x =1
Adding and subtracting Variables and constants
→7 x +5=1
→7 x +5-1
→7 x +4
→ When x=2,
7 x + 4 =7×2+4
=14 +4
=18
So, Both the expression has same value =18.
→So, by the definition of equivalent expression, when ,you substitute , x by any real number the two expression are equivalent.
Correct options among the given statement about the expressions are:
1.When x = 2, both expressions have a value of 18.
2.The expressions have equivalent values for any value of x.
3.The expressions have equivalent values if x = 8.
HELPPPP,Which of the following choices is the length of AB if A (-3, -2) and B (5, -4)? AB = 2 AB = 68 AB = 4 None of these choices are correct
Answers
===============================================
Explanation:
Use the distance formula to get this answer. The idea is you subtract the x coordinates together, and do the same for the y coordinates as well. Square each result and add up those squares. The last step of the formula is to apply the square root to get the distance from A to B, which is also the length of segment AB.
[tex]d = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}\\\\d = \sqrt{(-3-5)^2+(-2-(-4))^2}\\\\d = \sqrt{(-3-5)^2+(-2+4)^2}\\\\d = \sqrt{(-8)^2+(2)^2}\\\\d = \sqrt{64+4}\\\\d = \sqrt{68}\\\\[/tex]
Therefore, [tex]AB = \sqrt{68}[/tex]
please help i really don't understand
Answers
Answer:
80 square units
Step-by-step explanation:
The area formula refers to a generic triangle ABC in which side lengths 'a' and 'b' are known and angle C is between those sides.
In the given figure, we have known side lengths of 12 and 14, and the angle between them is 72°.
Putting these numbers into the formula, we find the area to be ...
A = (1/2)(12)(14)sin(72°) ≈ 79.9 ≈ 80 . . . . square units
The area of the triangle is about 80 square units.
Please answer this in two minutes
Answers
Answer:
Hey there!
S would be 2 times 7, or 14.
Hope this helps :)
Answer:
14
Step-by-step explanation:
This is a 30-60-90 triangle, so the sides corresponding are x, 2x, and xsqrt3. the side, s, that we want is the 2x, and the x is 7. So, s is 14.
PLEASE help me with this question ASAP!!!!
Answers
Step-by-step explanation:
I believe the answer is
The fuction roughly matches the data
Answer:
The function fits very well
Step-by-step explanation:
The equation for the stats is
y=-0.039866x²+3.99375x-0.4785714
PLEASEEEEE I don't understand this question.
Answers
Answer:
262°
Step-by-step explanation:
The relationship between the angle at B (82°) and the arcs of the circle, CGF and CDF, is that the angle is half the difference of those arcs. Of course the sum of those arcs is 360°, since together they make a full circle. So. we have ...
CGF +CDF = 360
(CGF -CDF)/2 = 82
We need to solve this system of equations to find CGF.
__
Multiplying the second equation by 2 and adding the first, we get ...
2((CGF -CDF)/2) +(CGF +CDF) = 2(82) +(360)
2CGF = 524 . . . . . simplify
CGF = 262 . . . . . . divide by 2
The measure of arc CGF is 262°.
_____
Alternate solution
Here's another way to get there. Arc CDF is the supplement to angle B, so is ...
CDF = 180° -∠CBF
Of course, arc CGF is 360° minus arc CDF, so ...
CGF = 360° -(180° -∠CBF)
CGF = 180° +∠CBF . . . . . simplify . . . please note this is a general solution
Then ...
arc CGF = 180° +82° = 262°.
Solve the inequality
-6w-16>44
Answers
[tex]-6w-16>44[/tex]
Add both sides by 16
[tex]-6w>60[/tex]
Divide both sides by -6 (Note: Since we're dividing by a negative number, the inequality symbol needs to be reversed)
[tex]w<-\dfrac{60}{6}[/tex]
[tex]w<10[/tex]
This is the solution to the inequality. Let me know if you need any clarifications, thanks!
Pls solve this question. (If its right will give brainliest) X is 1 SOLVE FOR Y 210=60x+50y
Answers
Answer:
Step-by-step explanation:
I don't say u must have to mark my ans as brainliest but if it has really helped u plz don't forget to thank me....
Answer:
3
Step-by-step explanation:
210=60(1)+50y
210=60+50y
-60 -60
150=50y
divide
y=3
Select all the sentences that can be represented by the equation 25+p=38 A.25 is more than 38 is p B.25 times as much as p is 38 C.38 is p more than 25
Answers
Answer:
Option C: 38 is p more than 25
Step-by-step explanation:
the equation 25 + p = 38
can be read as 38 is 25 plus p units, or similarly ;
38 is p units more than 25.
Therefore from the three sentences you are showing, only the last one (option C) is the correct one.
Please answer this now two minutes
Answers
Answer:
s = 8 degrees
Step-by-step explanation:
12s + 42 + 42 = 180
12s + 84 = 180
12s = 96
s = 8 degrees
Can someone plz help me? If you answer you are a real life savor
Answers
Answer:
x = 2; y = 6.
Step-by-step explanation:
If the two triangles will be congruent by the HL Theorem, the hypotenuses and side lengths have to be equal. That means that...
x + 3 = y - 1
2x - 1 = y - 3
x + 3 = y - 1
y - 1 = x + 3
y = x + 4
2x - 1 = y - 3
y - 3 = 2x - 1
y = 2x + 2
2x + 2 = x + 4
x = 2
y = 2x + 2
y = 2 * 2 + 2
y = 4 + 2
y = 6
y = x + 4
y = 2 + 4
y = 6
Hope this helps!
Mary earns $28,000 a year. One week she grossed $658.00. She had sold $1673.19 worth of merchandise. what is the rate of her commission?
Answers
Answer:
Her commission rate is 7.44%
Step-by-step explanation:
The parameters given are;
The amount Mary earns annually = $28,000
The amount Mary grossed during a week = $658.00
The amount Mary had sold during the week to make the amount grossed during the week = $1673.19
Given that Mary makes $28,000 per year
Therefore;
The amount Mary earns per week = Amount earned per year/52
The amount Mary earns per week = $28,000/52 = $538.46
The amount extra she made on commission = $658.00- $538.46= $119.54
The commission rate = Commission earned/(Amount of merchandise sold)×100
The commission rate = 119.54/1673.19 × 100 = 7.14%
Her commission rate = 7.44%
p=E/x+Y express x in terms of p,e and y
Answers
Answer:
x = E/(p - y)
Step-by-step explanation:
p - y = e/x
x(p-y) = e
x = e/(p-y)
Answer:
Hey there!
p=e/x+y
p-y=e/x
x(p-y)=e
x=e/(p-y)
Hope this helps :)
plzzzz answer right away will mark BRAINLIST AND FIVE STARS PLUS The table below shows the possible outcomes of rolling a six-sided number cube and flipping a coin. A 7-column table with 2 rows. Column 1 has entries H, T. Column 2 is labeled 1 with entries H 1, T 1. Column 3 is labeled 2 with entries H 2, T 2. Column 4 is labeled 3 with entries H 3, T 3. Column 5 is labeled 4 with entries H 4, T 4. Column 6 is labeled 5 with entries H 5, T 5. Column 7 is labeled 6 with entries H 6, T 6. What is the probability of getting a number less than 3 and a tails? StartFraction 1 over 12 EndFraction StartFraction 1 over 6 EndFraction One-fourth One-third
Answers
Answer:
P((1 or 2) and Tail) = 1/6 = StartFraction 1 over 6
Step-by-step explanation:
A six-sided die and a coin.
Probability of getting <3 and tail.
P((1 or 2) and Tail)
= 2/6 * 1/2
= 1/6
Answer:
1/6
Step-by-step explanation:
HELP ME PLEASE Given that the universal set is all real numbers, write the complement of set A. Set A: {Irrational numbers}
Answers
Answer: The complement is Q, the set of the rational numbers.
Step-by-step explanation:
Ok, here we can use the fact that the set of all the real numbers is equal to the union of the set of the rational numbers and the set of the irrational numbers. (Remember that Q, the rational numbers, also does include the set of the integer numbers))
Then, if the universal set is R, we have that the universal set is:
R = Q + I
Where Q = set of rational numbers and I = set of irrational numbers.
Then, the complement of the set A = I = irrational numbers, is equal to:
R - I = Q + I - I = Q
Then the set of the rational numbers is the complement of the set A.
Please answer this in two minutes
Answers
Answer:
I answered it
Step-by-step explanation:
I answered it
Answer:
∠ V ≈ 33.6°
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos V = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{UV}{TV}[/tex] = [tex]\frac{5}{6}[/tex] , thus
∠ V = [tex]cos^{-1}[/tex] ([tex]\frac{5}{6}[/tex] ) ≈ 33.6° ( to the nearest tenth )
4) The diameter of a circle measures 16 mm. What is the
circumference of the circle? use 3.14 for ł, and do not
round your answer.(be sure to include the correct unit in
your answer)
16mm
Answers
Answer: 50.24 mm
Step-by-step explanation:
Circumference= 2πr
C = 2 x 3.14 x 8mm
C = 50.24 mm
Answer:
Step-by-step explanation:
d=16mm
therefore r=8mm
therefore circumference = 2pi r = 2* 3.14*8
=50.42cm
hope it helps
PLSSSSS HELPPPPP Subtract 6/7-3/x
Answers
Answer:
[tex]\huge\boxed{\dfrac{6}{7}-\dfrac{3}{x}=\dfrac{6x-21}{7x}}[/tex]
Step-by-step explanation:
[tex]\dfrac{6}{7}-\dfrac{3}{x}=\dfrac{(6)(x)}{(7)(x)}-\dfrac{(7)(3)}{(7)(x)}=\dfrac{6x}{7x}-\dfrac{21}{7x}=\dfrac{6x-21}{7x}[/tex]
Complete the general form equation of the parabola that passes through (4, -11) with vertex at : (2, -3).
Answers
Answer:
Step-by-step explanation:
You're given a coordinate in the form of (x, y) and you're also given the vertex in the form of (h, k). We will use those in the vertex form of the equation
[tex]y=a(x-h)^2+k[/tex] and solve for a. Filling in:
[tex]-11=a(4-2)^2-3[/tex] which simplifies a bit to
[tex]-11=a(2)^2-3[/tex] and a bit more to
[tex]-11=4a-3[/tex]. Add 3 to both sides to get
-8 = 4a so
a = -2
The equation, then, is
[tex]y=-2(x-2)^2-3[/tex]
PLZZ HELP Fill in the blank with the correct response. The slope of the graph of y = x is ___a0.
Answers
Answer:
1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = x ← is in slope- intercept form
with slope m = 1
Answer:
1
Step-by-step explanation:
how to do this question plz
Answers
Answer:
148 cm ^2
Step-by-step explanation:
Hey there!
Well is the area of the base is 30 then we can conclude that the side lengths are 5 and 6.
Then if the volume is 120 we can do,
120 ÷ 30 = 4
So the height is 4 cm.
Now we already have the area of the base we just need to find the area of the rest of the rectangles.
If the bottom base is 30 then the top base is also 30.
30 + 30 = 60cm^2
Now we can do the two rectangles on the side that have side lengths of 5 and 4.
5*4 = 20
20+20 = 40 cm^2
Now we can do the two final rectangles that have side lengths of 6 and 4.
6*4=24
24 + 24 = 48 cm^2
Now we can add all the areas up,
48 + 40 + 60
= 148 cm^2
Hope this helps :)
which of the following product? assume y>0 3 square root(y^2 square root 4+ square root 8y)
Answers
Answer:
[tex]6y^2\sqrt{10}+12\sqrt{5y}[/tex]
Step-by-step explanation:
Use the distributive property and the rules for forming and simplifying square roots.
(√a)(√b) = √(ab)
√(a²b) = a√b
__
[tex]3\sqrt{10}\cdot(y^2\sqrt{4}+\sqrt{8y})=(3\sqrt{10})(2y^2) +(3\sqrt{10})(\sqrt{8y})\\\\=6y^2\sqrt{10}+3\sqrt{80y}\\\\=6y^2\sqrt{10}+3\sqrt{(4^2)(5y)}\\\\=\boxed{6y^2\sqrt{10}+12\sqrt{5y}}\qquad\text{matches the first choice}[/tex]
Answer:
a
Step-by-step explanation:
Hi! Can I have some help on this math question...
Question C please!
Please explain it as I am very confused!
15 Points
- Thanks!
Answers
Answer:
β = 22.5°
Step-by-step explanation:
In a triangle, the sum of interior angles must add up to 180°.
Since the angle marked with corners is equal to 90°, we can write an equation to solve for β.
3β + β + 90° = 180°
4β = 180° - 90°
4β = 90°
β = 90° / 4
β = 22.5°
Answer:
T is equal to R
Hope this helps.....
I promise I will mark as brainiest
Answers
There are 18 rectangles inside the playing field. And if you include the fence around the field, that makes 19.