12.5° or 13° depends how your teacher wants the answer. 4x-2 = 48
4x = 50
X = 12.5°
From the diagram, since[tex]$\angle AHK$[/tex] and [tex]$\angle EHB$[/tex] are supplementary angles, we have [tex]m\angle AHK + m\angle EHB = 180^\circ$.[/tex]
Substituting in the values that are given, we get [tex]48^\circ + (4x-2)^\circ = 180^\circ$.[/tex] Solving for x, we get [tex]$x = \boxed{33.5}$.[/tex]
From the diagram, we see that angles [tex]$\angle AHK$[/tex] and [tex]$\angle EHB$[/tex] are supplementary angles.
Therefore, we have the equation [tex]m\angle AHK + m\angle EHB = 180^\circ$.[/tex]
Substituting in the values that are given, we get [tex]48^\circ + (4x-2)^\circ = 180^\circ$.[/tex]
Simplifying both sides of the equation, we get [tex]4x-2 + 48 = 180$.[/tex]
Subtracting 46 from both sides of the equation, we get [tex]4x = 134$.[/tex]
Dividing both sides of the equation by 4, we get
[tex]x = \boxed{33.5}$.[/tex]
For similar question on supplementary angles.
https://brainly.com/question/30431434
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Identify two values that have a value less than 3 what is the answer to this question?
Answer:
the answer is 2.9 x 10^0 and 3.2 x 10^-2
Step-by-step explanation:
10^0 is equal to 1 so 2.9 x 10^0 is really 2.9 times 1 which is less than 3
if i could get brainliest answer that would be great!
10^-2 is a exponential that makes a number go down so 3.2 going down is less than 3
Answer:
C and D
Step-by-step explanation:
A. 2.9 × 10¹ = 2.9 × 10 = 29
B. 3.2 × 10³ = 3.2 × 1000 = 3000
C. 2.9 × 10⁰ = 2.9 × 1 = 2.9
D. 3.2 × 10⁻² = 3.2 × 0.01 = 0.032
Both C and D have values less than 3.
Need help very badly.
Find the area of the shaded region.
Round to the nearest tenth
The area of the square is 36 squared inches, because it is a square with a side of 6 inches.
The two semicircles have a radius of 3 inches. If we subtract their areas from the area of the square, we have
[tex]36-2\left(\dfrac{\pi\cdot 3^2}{2}\right) = 36-9\pi[/tex]
The shaded region is half of this area, so the answer is
[tex]\dfrac{36-9\pi}{2} \approx 7.7[/tex]
36 minus 9 multiplied by Pi . Then divide that answer by 2 to get 7.7
an above ground swimming pool is priced at $525.There is a 7% sales tax rate.What is the sales tax for the above ground swimming pool in dollars and cents.
Answer:
$36.75
Step-by-step explanation:
Answer: the sales tax alone is $36.75
the above ground pool with the sales tax is 561.75
Step-by-step explanation:
525x.07 =36.75
525x1.07=561.75 or another way you could do it is 525+36.75=561.75
How many solutions can be found for the linear equation?
3(x + 4) = 3x + 4
None.
Distribute the 3 to the (x + 4) to get 3x + 12.
Subtract 3x from both sides to get 12 = 4.
This is not true, so there are no solutions.
Need to find the surface area
Answer:
So first, we can see that two out of four sides of this triangular prism is a square because they have equal side lengths.
The surface area of these two sides should be:
A = a² · 2 = 10² · 2 = 100 · 2 = 200 (ft²)
Next, we need to find the area of the two triangles:
A = bh/2 · 2 = hb = 8 · 12 = 96 (ft²)
Lastly, we have the rectangular base:
A = wl = 10 · 12 = 120 (ft²)
All we need to do now is to add up all of our results:
A = 200 + 96 + 120 = 416 (ft²)
Identify the expression and the value equivalent to 4 times 3 cubed
Answer:
[tex]4 \times 3^{3}\\\\4\times3 \times3\times3\\\\108[/tex]
Step-by-step explanation:
Four times three cubed
Given the statement, times means multiplication.
four times three
4 x 3
It says three cubed, where cubed means raised to 3. So that means we right an exponent, and the exponent is 3.
4 x 3³
When we have an exponent, that tells you how many times you will multiply it by itself. So since the exponent is 3, we multiply 3 by itself 3 times.
3³ = 3 x 3 x 3
So 4 x 3³ = 4 x 3 x 3 x 3
Lastly, if we get the product your result will be 108.
4 x 3 x 3 x 3
=4 x 27
= 108
The expression is 4 times 3 cubed. The value equivalent to 4 times 3 cubed is 108.
The expression is 4 times 3 cubed.
To find the value equivalent to 4 times 3 cubed, we need to calculate it.
3 cubed means 3 raised to the power of 3, which is 3 x 3 x 3 = 27.
So, the value equivalent to 4 times 3 cubed is 4 x 27 = 108.
Learn more about expression here:https://brainly.com/question/34132400
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Which is equivalent to log2 n= 4?
Answer:
n = 16Step-by-step explanation:
[tex]\text{De}\text{finition of logarithm:}\\\\\log_ab=c\iff a^c=b\\\\\text{where}\ a>0\ \wedge\ a\neq1\ \wedge\ b>0\ \wedge\ c\in\mathbb{R}\\===========================\\\\\log_2n=4\iff n=2^4\\\\n=16[/tex]
Answer:
I don't know what answers you were given to your problem but I think the answer is
D) log n =4log2
Sorry if I got it wrong.
yo my broski what's up
Answer:wazz up
Step-by-step explanation:
yooo what’s up dude
what is
40π=5⁄18πr2
(5/18 is a fraction and 2 is an exponent)
r1 = -12 and r2 = 12
[tex]\bf 40\pi =\cfrac{5}{18}\pi r^2\implies 40\pi =\cfrac{5\pi r^2}{18}\implies 720\pi =5\pi r^2\implies \cfrac{720\pi }{5\pi }=r^2 \\\\\\ 144=r^2\implies \sqrt{144}=r\implies 12=r[/tex]
Solve the quadratic equation for x. What is one of the roots?
(x + 6)2 = 49
A) −13
B) −6
C) −7
D) −1
Answer:
A) −13
Step-by-step explanation:
(x + 6)^2 = 49
Take the square root of each side
sqrt((x + 6)^2) = ±sqrt(49)
x+6 = ±7
Subtract 6 from each side
x+6-6 = -6 ±7
x =-6 ±7
Separating into 2 parts
x = -6+7 x = -6-7
x = 1 x = -13
Which United States time zone has the earliest time? Eastern Central Mountain Pacific Alaska Aleutian/Hawaii
Answer: Alaska
Step-by-step explanation: Alaska has the Earliest United States Time Zone as from Earliest to latest Alaska is 2 PM. Pacific is 3 PM. Mountain is 4 PM. Central is 5 PM. Eastern is 6 PM. Therefore Aleutian/Hawaii is 7 PM. From West, headed East, Each time Zone bumps up 1 hour.
For the lengths AB, BC, and AC to equal 9,7, and 16 respectively, what is the value of x?
The answer is:
The value of x is 3.9 units.
Why?From the statement we know that the sum of the distances AB and BC is equal to 9.7 units, so, we need to write one equation to create a relation between the given distances and the total distance (AB + BC)
So, writing the equation, we have:
[tex]AB+BC=AC\\\\2x-3+(x+1)=9.7[/tex]
Now, adding like terms, we have:
[tex]2x-3+(x+1)=9.7[/tex]
[tex]2x+x-3+1=9.7[/tex]
[tex]3x-2=9.7[/tex]
[tex]3x=9.7+2[/tex]
[tex]x=\frac{9.7+2}{3}=\frac{11.7}{3}=39.9[/tex]
Hence, we have the value of x is 3.9 units.
Have a nice day!
Answer: the answer is 6.
Step-by-step explanation:
a p e x
Differentiate which of the following models best fits the data.
(-2,-1), (0,1), (1,2), (3,4), (5,6)
f(x) = – x2+ 2x - 3
f(x) = x + 1
f(x) = - x3 + x + 1
f(x) = (2)x
Answer:
Option B f(x) = x + 1
Step-by-step explanation:
The given points are
x y Relationship (x & y)
-2 -1 -2 + 1 = -1
0 1 0 + 1 = 1
1 2 1 + 1 = 2
3 4 3 + 1 = 4
5 6 5 + 1 = 6
As we can see the difference in x and y values of each ordered pairs is one
Therefore, relationship between x & y that can be represented by y = x + 1
Option B f(x) = x + 1 is the answer.
3m + n =7
m + 2n = 9
Answer:
n = 4, m = 1
Step-by-step explanation:
Given the 2 equations
3m + n = 7 → (1)
m + 2n = 9 → (2)
Rearrange (2) expressing m in terms of n, by subtracting 2n from both sides
m = 9 - 2n → (3)
Substitute m = 9 - 2n into (1)
3(9 - 2n) + n = 7 ← distribute left side
27 - 6n + n = 7 ← simplify left side
27 - 5n = 7 ( subtract 27 from both sides )
- 5n = - 20 ( divide both sides by - 5 )
n = 4
Substitute n = 4 into (3) for corresponding value of m
m = 9 - (2 × 4) = 9 - 8 = 1
Thus m = 1 and n = 4
What is the value of the expression? 121
A) 11
B) 13
C) 60.5
D) 11
The value of the expression for 121 is 11
herman bought a sweater for $48.58 .There was a tax of $3.60 on the sweater . What was the total cost of the sweater?
Its rly easy 48.58+3.60=52.18
The formula for the area of a square is s2, where s is the side length of the square. What is the area of a square with a side length of 6 centimeters? Do not include units in your answer.
Answer:
36
Step-by-step explanation:
If s is the side length, then the area of the square is
A = s^ = (6)^2 = 36
This is how you were expected to answer this question. However, the actual correct answer is 36 cm^2.
Answer:
36
Step-by-step explanation:
solve the system x=3y+9 9-x=-3y
a) no solution
b) infinite solutions
c) (3,-1)
d) (0,3)
I believe I did this correctly. Comment to tell me if I didn't.
__________________________________
I got infinite solutions.
For the second problem, I subtracted 9 from both sides. Then I divided them all by -1. They are the same equations.
ANSWER
b) infinite solutions
EXPLANATION
The given system is:
x=3y+9 ...(1)
9-x=-3y...(2)
Put equation (1) into equation (2)
This implies that,
9-(3y+9)=-3y
Expand the parenthesis,
9-3y-9=-3y
-3y=-3y
1=1
This implies that, that the system has infinitely many solutions.
A cylindrical shaped drum is used to store basketballs in a gymnasium. The hollow drum measures 48 inches high with a 24 inch radius. If the radius of a basketball is 6 inches, the maximum number of basketballs that the cylindrical drum contains is_____(192, 96, 48)
Answer:
[tex]96\ basketballs[/tex]
Step-by-step explanation:
step 1
Find the volume of the cylinder (hollow drum)
The volume is equal to
[tex]V=\pi r^{2} h[/tex]
we have
[tex]h=48\ in[/tex]
[tex]r=24\ in[/tex]
substitute
[tex]V=\pi (24)^{2} (48)[/tex]
[tex]V=27,648\pi\ in^{3}[/tex]
step 2
Find the volume of one basketball
The volume of the sphere is equal to
[tex]V=\frac{4}{3}\pi r^{3}[/tex]
we have
[tex]r=6\ in[/tex]
substitute
[tex]V=\frac{4}{3}\pi (6)^{3}[/tex]
[tex]V=288\pi\ in^{3}[/tex]
step 3
Find the maximum number of basketballs that the cylindrical drum contains
so
Divide the volume of the cylinder by the volume of one basketball
[tex]27,648\pi/288\pi=96\ basketballs[/tex]
The value of √13 is between _____.
2 and 3
3 and 4
4 and 5
5 and 6
Answer: Second option.
Step-by-step explanation:
The square root of a number "x" is a number "b" that multiplied by itself is "x":
[tex]b*b=x[/tex]
We know that the square root of 16 is 4 ([tex]\sqrt{16}=4[/tex]) because:
[tex]4*4=16[/tex]
Then [tex]\sqrt{13}[/tex] should be less than 4.
We know that the square root of 9 is 3 ([tex]\sqrt{9}=3[/tex]) because:
[tex]3*3=9[/tex]
Then [tex]\sqrt{13}[/tex] should be greater than 3.
Therefore, the value of [tex]\sqrt{13}[/tex] is between 3 and 4.
This matches with the second option.
Hello Brainly Student! Your answer is 3 and 4! Hope this helped!!
how can u find the median if there are two numbers left in between? look at the pic (question 5)
T o find the median if there are two numbers in between find the mean or the average. To do that add up the 2 middle numbers then divide by 2 that's your median
if Lylah completes the square for f(x)=x squared -12x+7 in order to find the minimum she must write f(x) in the general form f(x)=(x-a)squared +b what is the value of a for f(x)? A. 6 B. -6 C. 12 D. -12
Answer:
A. 6
Step-by-step explanation:
f(x) = x² − 12x + 7
To complete the square, we first factor the leading coefficient to make it 1 (which it already is).
Then, we take half the second coefficient, square it, and then add to both sides. So (-12/2)² = (-6)² = 36.
f(x) + 36 = x² − 12x + 36 + 7
Then we factor the perfect square:
f(x) + 36 = (x − 6)² + 7
Then solve for f(x) by subtracting and simplifying:
f(x) = (x − 6)² + 7 − 36
f(x) = (x − 6)² − 29
So the value of a is 6.
Which statement is true about these triangles?
Answer:
ΔADC ≅ ΔCBA by the SSS congruence postulate
Step-by-step explanation:
This is because of the following:
AD ≅ CB
DC≅AB
lastly, AC≅AC,
however ΔADC ≅ ΔABC by the SSS congruence postulate is also true since ΔABC and ΔCBA is just the same triangle. We can name our triangle in the both the same way.
which of the following is not a measure of central tendency
Where is 'the following'?
(I'll Answer in comments just give detail)
Answer:
range
Step-by-step explanation:
this is because it is asking the not central which is range.
factor -7x^3+21x^2+3x-9 by grouping
Answer:
[tex](-7x^2+3)(x-3)[/tex]
Step-by-step explanation:
We can take "common" from first 2 terms and common from next 2 terms. Shown below:
[tex]-7x^3+21x^2+3x-9\\-7x^2(x-3)+3(x-3)\\(-7x^2+3)(x-3)[/tex]
That's how we do it. We can't simplify, or factor, any further.
The bear lake is 24 miles long. Suppose John starts cycling art one end at 20 m.p.h. and Ramona starts at the other end at 15 m.p.h. how long would it take them to meet?
Final answer:
John and Ramona are closing in on each other on a collision course with a combined speed of 35 mph over a distance of 24 miles. After doing the calculation, we find that it will take them approximately 41.14 minutes to meet.
Explanation:
To find out how long it will take John and Ramona to meet, we can assume they are moving towards each other on a collision course. We do this by adding their speeds together since they are moving in opposite directions. John cycles at a speed of 20 mph and Ramona cycles at 15 mph, so the combined speed at which they are closing in on each other is 20 mph + 15 mph = 35 mph.
The distance between them is 24 miles. To calculate the time it takes for them to meet, we divide the total distance by their combined speed:
Time = Distance / Speed
Time = 24 miles / 35 mph
Time = 0.6857 hours
Since time is often represented in minutes, we multiply the decimal by 60:
0.6857 hours * 60 minutes/hour = 41.14 minutes
Therefore, it would take approximately 41.14 minutes for John and Ramona to meet.
How to expand 3(n+7)
Answer:
3n+21
Step-by-step explanation:
3 × n =3n
3 × (+7) = +21
Answer:
Use distributive property.
3(n+7),
3*n + 3*7=
3n + 21
Hope this helps and have a great day!
What is the sum of the angel measures of a triangle ?
All triangles equal 180 degrees.
The answer is 180 degrees.
The tip of a solid metal cone was placed into a cube that has 10 inch edges, as shown.
If the water in the cube rose from 6 inches to 8 inches when the cone was placed in the cube, what is the
radius of the base of the submerged portion of the cone?
Answer:
[tex]r=\sqrt{\dfrac{75}{\pi}}\approx 4.89\ in[/tex]
Step-by-step explanation:
If the water in the cube rose from 6 inches to 8 inches when the cone was placed in the cube, then the difference in volumes is the volume of the submerged portion of the cone.
Initially, 10 in by 10 in by 6 in:
[tex]V_{initial}=10\cdot 10\cdot 6=600\ in^2.[/tex]
At he end, 10 in by 10 in by 8 in:
[tex]V_{final}=10\cdot 10\cdot 8=800\ in^3.[/tex]
Thus,
[tex]V_{submerged \ cone}=800-600=200\ in^3.[/tex]
Use cone's volume formula
[tex]V_{cone}=\dfrac{1}{3}\pi r^2 \cdot h,[/tex]
where r is the radius of the cone's base, h is the height of the cone.
From the diagram, h=8 in, then
[tex]200=\dfrac{1}{3}\cdot \pi\cdot r^2\cdot 8\\ \\\pi r^2=75\\ \\r^2=\dfrac{75}{\pi}\\ \\r=\sqrt{\dfrac{75}{\pi}}\approx 4.89\ in[/tex]
What is the amplitude of the sinusoids function m(x)= -3.5 cos x
Answer:
The amplitude of the given sinusoidal function is 3.5
Step-by-step explanation:
The given sinusoidal function is
[tex]m(x)=-3.5\cos x[/tex]
This function is of the form:
[tex]m(x)=a\cos bx[/tex]
where
a=|-3.5|=3.5 is the amplitude.
Therefore the amplitude of the given sinusoidal function is 3.5