The numerical length of side AC is 20 units
How to determine the length of AC?The given parameters are:
AB = 32 cm
sin(B) = 5/8
The possible triangle is added as an attachment
From the attached triangle, we have the following sine ratio
sin(B) = AC/AB
This gives
5/8 = AC/32
Multiply both sides of the triangle by 32.
So, we have
AC = 32* 5/8
Evaluate the product
AC = 20
Hence, the numerical length of side AC is 20 units
Read more about right triangles at
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Mrs. Albertson has $75 to spend at the hobby store. She decides to spend $30 on art supplies. Write an inequality that describes how much money Mrs. Albertson has left to spend at the hobby store.
Answer:
she has 45 dollars left
(From MATH workbook 8A)
Answer:
x = 0.5
Step-by-step explanation:
Given
- 8.25x + 12 - 1.75x = 10.5x + 1.75 , that is
- 10x + 12 = 10.5x + 1.75 ( subtract 10.5x from both sides )
- 20.5x + 12 = 1.75 ( subtract 12 from both sides )
- 20.5x = - 10.25 ( divide both sides by - 20.5 )
x = 0.5
If a shirt cost 10 dollars and I had a coupon for 25% off how much $ did I save?
if a jigsaw puzzle is priced 17.00 but cost 17.68 at the register what is sales tax rate
Answer:
4%
Step-by-step explanation:
17.68 / 17 = 1.04
1.04 - 1 = 0.04
0.04 = 4%
So the sales tax rate is 4%
What set of numbers will not create a triangle {13,22,34} {8,20,30} {10,14,23} {15,25,37}
Answer:
{8,20,30} won't make a triangle
Step-by-step explanation:
add the first two sides of the triangle, if it's greater it's a triangle if it's not it won't work
£50 is divided between Krutika, Natasha & Richard so that Krutika gets twice as much as Natasha, and Natasha gets three times as much as Richard. How much does Krutika get?
Answer:
£30
Step-by-step explanation:
→ Model the situation in terms of x
Richard = x, Natasha = 3x and Krutika = 6x
→ Now put the values into ratio form
6x : 3x : x = 50
→ Collect the x terms
10x = 50
→ Divide both sides by 10 to isolate
x = 5
→ Substitute x = 5 into Krutika
6 × 5 = 30
Answer:
£30
Step-by-step explanation:
Let's break down the information given to help us find how much Krutika gets.
"Natasha gets three times as much as Richard" - We can express the value that Natasha gets as [tex]3r[/tex] in terms of what Richard gets.
"Krutika gets twice as much as Natasha" - We can express this as [tex]2(3r)[/tex] which equals [tex]6r[/tex].
We know that the total money is £50, so we can write the equation:
[tex]r+3r+6r=50[/tex]
[tex]10r = 50[/tex]
[tex]r=5[/tex]
∴ Richard gets £5.
Since the money Krutika gets can be expressed as [tex]6r[/tex]:
[tex]6(5) = 30[/tex]
∴ Krutika gets £30.
Hope this helps :)
For f (x), evaluate the following:
a, f(0)
b. f(6)
Show all of your work
Answer:
a). f(0) = 4
b). f(6) = 8
Step-by-step explanation:
a). When x < 5, piecewise function to be considered,
f(x) = x + 4
Since, x = 0 is less than x = 5
f(0) = 0 + 4
f(0) = 4
b). When 5 ≤ x < 7,
Piecewise function to be considered,
f(x) = 8
Therefore, for x = 6,
f(6) = 8
A cell phone company charges $40 plus .05 per text. What is the slope?
The slope will be 0.05.
What is the general equation of a Straight line?The general equation of a straight line is -y = mx + c
[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.
Other possible equations of lines are -
(y - y₁) = m(x - x₁) {Point - slope form}(y - y₁) = (y₂ - y₁) × (x - x₁)/(x₂ - x₁) {Two point - slope form}x/a + y/b = 1 {intercept form}x cos(β) + y sin(β) = L {Normal form}We have a cell phone company charges $40 plus 0.05 per text
We can write the general equation for the cell phone as -
y = 0.05x + 40
Now, we can compare with the general equation of line as -
m = 0.05
Therefore, the slope will be 0.05.
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What is 3x + 2 = 4x - 1
Answer:
3 = x
Step-by-step explanation:
To simplify this equation, combine like terms:
3 = x
Working on abs do you see them?
Answer:
yes and free points woooooooooooo
Step-by-step explanation:
Xavier can swim at a constant speed of 5/3 meters/second. He is trying to qualify for the N ational Swim Meet. To qualify, he must complete a 100-meter race in 55 seconds. Will Xavier be able to qualify? Why or why not?
Answer:
Xavier will not be able to qualify because the speed required for him to qualify is greater than the speed at which he runs
Step-by-step explanation:
Here, we want to know if Xavier will be able to qualify or not
His constant speed is 5/3 m/s
Now to win , he needs a speed of 100 m/55 sec = 20/11 m/s
So now, we need to know the bigger fraction between the two
Mathematically, that will be
5/3 - 20/11 = (55-60)/11 = -5/11
As we can see, the required speed is greater than what he can run
So this means that he will not be able to qualify
( In the PDF sorry I cant copy and paste it :( )
It's ON Graphing Inequalities
Answer:
Its A
Step-by-step explanation:
The answer is A, because the dot means it cant be 11, which is what the question is asking. Hope this helps!
Drag each tile to the correct box. Not all tiles will be used. Consider function f.
Answer:
Steps in order will be
[tex]1. y=\sqrt{7x-21}\\2. y^2=7x-21 \\ 3. y^2=7(x-3)\\4. \frac{y^2}{7}=x-3\\ 5. x=\frac{y^2}{7}+3\\6. f^{-1}(x)=\frac{1}{7}x^2+3 \:where\: x\geq 0[/tex]
Step-by-step explanation:
Consider the function [tex]f(x)=\sqrt{7x-21}[/tex]
We need to find [tex]f^{-1}(x)[/tex]
For finding [tex]f^{-1}(x)[/tex] replace f(x) with y
Step 1: Replace f(x) with y
[tex]y=\sqrt{7x-21}[/tex]
Now, solve for x
Step 2: Taking square on left side
[tex]y^2=(\sqrt{7x-21})^2\\y^2=7x-21[/tex]
Step 3 : take 7 common
[tex]y^2=7(x-3)[/tex]
Step 4 : Divide both sides by 7
[tex]\frac{y^2}{7}=x-3[/tex]
Step 5: Add 3 on both sides
[tex]\frac{y^2}{7}+3=x-3+3\\x=\frac{y^2}{7}+3[/tex]
Step 6: Replace x with y and x with [tex]f^{-1}(x)[/tex]
[tex]f^{-1}(x)=\frac{1}{7}x^2+3[/tex] where x≥0
Steps in order will be
[tex]1. y=\sqrt{7x-21}\\2. y^2=7x-21 \\ 3. y^2=7(x-3)\\4. \frac{y^2}{7}=x-3\\ 5. x=\frac{y^2}{7}+3\\6. f^{-1}(x)=\frac{1}{7}x^2+3 \:where\: x\geq 0[/tex]
Assuming one or 2 steps are missing in the diagram given.
if U={natural number less than 10}, M={multiples of 2}, N={factors of 8} and O={even number} then can we write M intersection (N intersection O) = (M intersection N) intersection O? verify
Answer:
yes
Step-by-step explanation:
u={1,2,3,4,5,6,7,8,9}
m={2,4,6,8}
N={1,2,4,8}
O={2,4,6,8}
Now
M intersection (N intersection O) = (M intersection N) intersection O
or , {2,4,6,8} intersection {2,4,8} ={2,4,8}
intersection {2,4,6,8 }
:. {2,4,8} ={2,4,8}
What is the diameter of the circle shown above?
A) 1 inch
B) 3.14 inches
C) 8 inches
D) 16 inches
HURRY PLEASE DUE IN A FEW MINUTES!!! WILL MARK THANKS, 5 STARTS AND BRANLIEST IF RIGHT!!!!!!
Answer:
D. 16 in.
Step-by-step explanation:
The radius of the circle is 8 in. The diameter of any circle is twice the radius.
2 x 8 = 16
The diameter is 16 in. long.
I hope this helped :)
25 ÷ (-5)
i am looking for a mathematician
Answer:
-5 actually
Step-by-step explanation:
i love MATHH
Answer:
- 5
Step-by-step explanation:
Which side measures can form a triangle?
A
3 cm, 5 cm, 8 cm
B.
6 cm, 7 cm, 12 cm
9 cm, 9 cm, 19 cm
10 cm, 5 cm, 4 cm
Answer:
answer is 6 cm, 7cm, 12 cm
Step-by-step explanation:
the rule is that the sum of any two sides of a triangle must be greater than the 1 one side
Answer:
6 cm, 7 cm, 12 cm
Step-by-step explanation:
plz giving brainiest hurry fast plzz i beg
Answer:
59
because 116 - 180 = 64 +57 =121 -180 =59 I hope this helps!
HELP PLEASE. what is the solution to this as an ordered pair. (algebra 1)
Answer:
(2 , 0)
I solved this using the comparison method ;)
Answer:
y=4×+6=56
56×65
45×34=
2×-4=67
HELP ASAP!!
For what values of x and y are the triangles to
the right congruent by HL?
bruh its so blury. make the same question with a different angle
Please help, if you put “I don’t know” or something like tjat just for the points I 100% guarantee I will report, don’t try me.
Answer:
122.5 People
Step-by-step explanation:
4500-90 = 4410
4410 divided by 36 equals 122.5
==========================================================
Explanation:
n = number of people invited
n+2 = total number of people after adding Oscar and Julie
36(n+2) = total cost before the $90 fee
36(n+2)+90 = total cost after the $90 fee
Set that equal to the budget of 4500 and isolate n
36(n+2)+90 = 4500
36n+72+90 = 4500
36n+162 = 4500
36n = 4500-162
36n = 4338
n = 120.5
n = 120
We round down so that we don't go over budget
Oscar and Julie can invite 120 people.
-----------
Check:
If n = 120 then 36(n+2)+90 = 36(120+2)+90 = 4482 which is under budget
If n = 121 then 36(n+2)+90 = 36(121+2)+90 = 4518 which is over budget
This confirms that 120 is the answer.
What is the length of segment AB? (4 points)
A coordinate plane is shown. Point A is located at 6, 2, and point B is located at 0, 10. The points are connected by a line segment.
5
6
8
10
Answer:
10 units
Step-by-step explanation:
[tex]\sqrt{(0-6)^{2} +(10-2)^{2} }\\\\\sqrt{(-6)^{2}+(8)^{2} } \\\\\sqrt{36+64}\\\\\sqrt{100}\\\\10[/tex]
Solve
6(2x- 5)= 15x+3
Answer:
x = -11Step-by-step explanation:
6(2x- 5)= 15x+3 expand
12x - 30 = 15x + 3 combine similar terms
12x - 15x = 30 + 3 simplify
-3x = 33 divide -3 both sides
x = 33 / -3 simplify
x = -11
Find the intercept of the y axis for 6x + 4y – 12z = 36. will give brainlest
(6, 4,-12)
(0, 0, -3)
(6, 0, 0)
(0, 9, 0)
Answer: ( 0, 9, 0)
Step-by-step explanation: They both equal 36 but i think (0, 9, 0) is the better fit out of (0, 9, 0), and (6, 0, 0)
Hope this helps :)
Describe the graph of y > mx, where m > 0?
Answer:
The graph of y > mx, where m > 0, consists of a dashed line and a shaded half-plane. The line has a positive slope and passes through the origin. The shadow of the half plane is above the line. m<0 means slope is negative
b>0 means the line will intersect the y axis above 0. Since the slope is positive, the graph is increasing. So like stated above The boundary line is dashed, and everything above it is shaded.
Step-by-step explanation:
Hope this help you
Answer:
The graph of y > mx, where m > 0, consists of a dashed line and a shaded half plane. The line has a positive slope and passes through the origin. The shaded half plane is above the line.
Step-by-step explanation:
20 points!!!
Find the mean, median, and mode of the data set. Round to the nearest tenth.
test scores on a math exam:
88, 89, 65, 62, 83, 63, 84, 63, 74, 64, 71, 82, 66, 88, 79, 60, 86, 63, 93, 99, 60, 85
A. Mean=75.8 median=79.5 mode=63
B. Mean=75.8 median=76.5 mode=63
C. Mean=69.5 median=76.5 mode=63
D. Mean=69.5 median=76.5 mode=79.5
Answer: choice B
Step-by-step explanation:
the mean is the sum of terms divided by the number of terms
mean=75.77, has to be rounded so it is 75.8
mode = 63 the one who appears the most
median is 76.5
Answer:
( LESSON 5 Measures of Central Tendency and Dispersion )
1 ) Find the mean, median, and mode of the data set. Round to the nearest tenth. 15,139,9,7,1,11,10,13,1,13
C ) mean= 9.3 ,median= 10 ,mode= 13
2 ) Find the mean, median, and mode of the data set. Round to the nearest tenth. test scores on a math exam:
88, 89, 65, 62, 83, 63, 84, 63, 74, 64, 71, 82, 66, 88, 79, 60, 86, 63, 93, 99, 60, 85
B) mean=75.8 ,median=76.5 ,mode=63
3 ) The table shows the number of hours that a grouped of students spent studying for the SAT.......
B ) Mean-18.3 Median- 19 Mode- 14 Range-9
4 ) A store sells five models of cameras for $190.00, $420.00, $270.00, $300.00, and $420.00.......
B ) mean = $339.20 median =$318.00 mode = $445.20 range=$243.80
Step-by-step explanation:
these are the correct answers for 2022 have a good day UwU
Can y’all help me and tell me what the answer is please I’m a bit stuck
Answer:
The correct choice is:
-2 to the 4th power is positive 16.
Option C is correct.
Step-by-step explanation:
We need to find mistake make in work below:
[tex](-2x^4)^4=-16x^{16}[/tex]
The mistake here is when we have even power, the negative sign gets positive i.e [tex](-a)^m=a^m[/tex] if m is even
so, in our case it would be:
[tex](-2x^4)^4=16x^{16}[/tex]
The correct choice is:
-2 to the 4th power is positive 16.
Option C is correct.
Inequality 1: 9 ≤ x
Inequality 2: 13 + x > 21
Which values in the set { 3, 5 ⅞, 6, 8.3, 9, 18 } make both inequalities true? Explain.
Answer:
Yeah i have no idea
Step-by-step explanation:
Can i have brainliest???
The pattern below follows the rule, "starting with a value of 4, every
consecutive row has a value that is 2 less than twice the value of the previous
row."
Value
Row 1
4
Row 2
6
Row 3
10
What is the value for the 5th row?
A. 36
Ο Ο
O B. 66
O c. 34
O D. 20
SUBMIT
Answer:
C
Step-by-step explanation:
Pls answer will give brainliest
Answer:
Option B is the correct answer
Step-by-step explanation:
[tex] \frac{7}{15} = 0.46666666... \\ \\ \frac{7}{15} = 0.4 \overline{6}[/tex]