Answer:
1)m<DCH =89
2)m<BCD=103
Step-by-step explanation:
1) We have that:
m<EFB=91 degree.
We want to find m<DCH.
By same side interior angle property:
m<DCH +m<EFB=180
m<DCH +91=180
m<DCH=180-91
m<DCH =89
2) Given that: m<HFG=103, we seek to find m<BCD.
By the alternate exterior angle property:
m<HFG=m<BCD
Therefore
m<BCD=103
hi guys I am dumb so can you guys help
Answer:
study more that should help you out
Step-by-step explanation:
study more
Answer:
try to study
Step-by-step explanation:
Find the nth term in the geometric sequence 12, -3, 3/4
Answer:
12 (-0.25)ⁿ
Step-by-step explanation:
recall that the general form for each term in the geometric progression is
arⁿ
such that the geometric progression looks something like.
ar⁰, ar¹, ar², ar³, ....., arⁿ, ......
also note that r⁰ = 1, hence ar⁰ is simply a
hence the G.P can be written
a, ar, ar², ar³, ....., arⁿ, ......
also note that r can be obtained by simply dividing the 2nd term with the 1stterm. i.e
r = ar ÷ a
now we are given the first 3 terms in the GP as
12, -3, 3/4, ....
comparing with the GP in the previous paragraph, we can see that ,
a = first term = 12
also
r = 2nd term ÷ 1st term
= -3 ÷ 12
= -0.25
hence the nth term
= arⁿ
= 12 (-0.25)ⁿ
What is 23 % changed into a fraction
Answer:
23/100
Step-by-step explanation:
Any percent is out of 100, so you can just say 23/100. This works for any percentage but you can still simplify it. 23/100 is already in its simplest form so you can not simplify it any more. 23% in decimal form is 0.23.
If the temperature was 45°F at 9am, what was the temperature at 6pm
Answer: 35 F
Step-by-step explanation:
night time
Solve for the variable in each equation
Answer:
Step-by-step explanation:
A rectangular garden has an area of 52 square yards. If we multiply its length and width by 15, what is the area of the new rectangle?
Answer:
i think its 11,700
Step-by-step explanation:
Answer:
11,700
Step-by-step explanation:
When trying to find the new area, you take you 2 numbers, 52 and 15, square the 15, then multiply them
52 x 15^2 = 11,700
Help. I can’t figure this out.
Answer:
5
Step-by-step explanation:
The median is 5. Cross off the dots on both sides one by one until you reach the center.
simlify the the expression using bedmas. 3 over 2 of 9 over 7
Step-by-step explanation:
[tex] (\frac{3}{2} ) \frac{9}{7} = \frac{3}{2} \times \frac{9}{7} = \frac{27}{14} \\ [/tex]
Answer:
it means 3/2 of 9/7
Step-by-step explanation:
those are fractions
the measure of two supplementary angles have a ratio of 5:4 what is the measure of the large angle?
Answer:
100°
Step-by-step explanation:
The larger one is 5/(5+4) = 5/9 of the total, so is ...
5/9 × 180° = 100°
The measure of the larger angle is 100°.
Seventy people attended a concert. A general admission ticket is $4.75 and a student is $3.25 . If the box office collected $272.50 ,how many general admissions and how many student tickets were sold.
Answer:
Step-by-step explanation:
Let g = amount of general admission tickets
Let s = amount of student tickets
Since seventy people attended the concert, this includes the people who bought general admission tickets and the people who bought the student tickets. As a result, g + s = 70. A student ticket is $3.25, so it would be 3.25s and a general admission ticket is $4.75, so it would be 4.75g. Since there was $272.50 collected in all, the second equation would be 3.25s + 4.75g = 272. 50.
g + s = 70
4.75g + 3.25s = 272.50
Multiply the first equation by 3.25 (or 4.75) so that you can use elimination to get rid of one variable.
3.25g + 3.25s = 227.50
4.75g + 3.25s = 272.50
Now, you subtract so that you can eliminate s.
-1.50g = -45
g = 30
This means that there are 30 general admission tickets. Now, you substitute 30 in for g to find s.
30 + s = 75
Subtract 30 from both sides.
s = 45
This means that there are 30 general admission tickets and 45 student tickets.
How many solutions does this equation have?
(15x + 21)
3
= 5x + 7
Your equation is unclear. Do you mean the following:
(15x+21)/3=5x+7 or 3(15x+21)=5x+7
If the left equation is the correct one, the left side simplifies to 5x+7=5x+7, which must mean all real numbers are correct solutions. Thus, it has infinite real solutions.
The equation (15x + 21)³ = 5x + 7 is a cubic equation. The number of solutions can be 0, 1, 2, or 3 solutions.
Explanation:The equation is (15x + 21)³ = 5x + 7. To determine the number of solutions, we need to simplify and solve the equation.
Step 1: Expand the equation using the binomial theorem. This gives us: 3375x³ + 14175x² + 19305x + 9261 = 5x + 7.
Step 2: Combine like terms on both sides of the equation. This results in: 3375x³ + 14175x² + 19305x + 9254 = 0.
Step 3: This is a cubic equation. Cubic equations can have 3 solutions at most. However, it is not guaranteed that this equation will have 3 solutions. It can have fewer solutions or even no real solutions.
Therefore, the number of solutions for this equation is either 0, 1, 2, or 3 solutions. Further analysis or calculations may be needed to determine the exact number of solutions.
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The store buys a keyboard for $35 and sells it for $61.25. What percentage was the markup?
187 is the product of -17 and m .
Answer:m=-11
Step-by-step explanation:
You find the answer by dividing 187 by -17.
The value for m is -11
What is the BODMAS rule?According to the BODMAS rule, the brackets have to be solved first followed by powers or roots (i.e. of), then Division, Multiplication, Addition, and at the end Subtraction. Solving any expression is considered correct only if the BODMAS rule or the PEMDAS rule is followed to solve it.
Given here: -17m=187
Thus simplifying we get m= 187/-17
= -11
Hence, The value for m is -11
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Simplify the expression 54. (1 point)
A. 20
B. 1,024
C. 125
D. 625
To simplify the expression 54, divide it by 2 and 3 to get the simplified result of 9.
Explanation:To simplify the expression 54, you need to consider the properties of the number 54. First, note that 54 is divisible by 2. Next, check if it is also divisible by 3. If it is, continue dividing by 3 until you can no longer do so. In this case, 54 is divisible by both 2 and 3, so you can simplify it as follows:
Divide 54 by 2: 54 ÷ 2 = 27Divide 27 by 3: 27 ÷ 3 = 9Therefore, the simplified expression 54 is equal to 9. So, the correct answer is A. 20.
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Find the slope of the curve y=-3x-x^2 at the point (-1,2)
Answer:
slope = - 1
Step-by-step explanation:
The slope of the curve m is measured by
m = [tex]\frac{dy}{dx}[/tex] at x = a
Differentiate using the power rule
[tex]\frac{d}{dx}[/tex] (a[tex]x^{n}[/tex] ) = na[tex]x^{n-1}[/tex]
Given
y = - 3x - x², then
[tex]\frac{dy}{dx}[/tex] = - 3 - 2x
x = - 1 → [tex]\frac{dy}{dx}[/tex] = - 3 - 2(- 1) = - 3 + 2 = - 1 ← slope at (- 1, 2 )
it’s take 4 minutes to fill an empty aquarium to a depth of 2/5 meters. what is the unit rate in minutes per meter?
The unit rate is calculated by dividing the total quantity by the total number of units. In this case, it takes 4 minutes to fill the aquarium to a depth of 2/5 meters. So, the unit rate for filling the aquarium is 10 minutes per meter.
Explanation:To calculate the unit rate, you divide the total quantity by the total number of units. In this case, it takes 4 minutes to fill the aquarium to a depth of 2/5 meters. So, for the unit rate in minutes per meter, you would set up the division as follows:
4 minutes / (2/5) meters
When you divide 4 by 2/5, you actually multiply 4 by the reciprocal of 2/5, which is 5/2.
So, 4 * (5/2) = 10
Therefore, the unit rate for filling the aquarium is 10 minutes per meter.
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Write the equation of the line that passes through the given points (0,-3) and (-15,-5)
Answer:
y=2/15x-3
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-5-(-3))/(-15-0)
m=(-5+3)/-15
m=-2/-15
m=2/15
y-y1=m(x-x1)
y-(-3)=2/15(x-0)
y+3=2/15(x)
y+3=2/15x
y=2/15x-3
A total of 216 people bought tickets for the matinee and night showing of the school play. Students bought
of the tickets foi
the matinee, while g of the night show's tickets were sold to students. If there were a total of 118 tickets sold to students,
which system of equations can be used to determine the total number of tickets sold for the matinee, x, and for the night
showing y?
© x+y= 216 and < x+y=118
x+y = 118 and ž x+2y=216
x+y = 218 and x+ žy - 118
x+y = 118 and ģx+ Ży-118
the answer is A
Step-by-step explanation:
Answer:
A. x + y = 216 and Two-thirds x + StartFraction 4 Over 9 EndFraction y = 118. ☁︎✮
Step-by-step explanation:
If the point (2,4 is rotated 90 degrees clockwise what is the location of the new point
Answer:
Therefore the new coordinate of the point is (2,-4)
Step-by-step explanation:
A point (2,4) is rotated [tex]90^\circ[/tex] clockwise .
The point (2,4) lies on the first coordinate.If the point rotated [tex]90^\circ[/tex]clockwise direction It will be go fourth coordinate.
Therefore the new coordinate of the point is (2,-4)
I require assistant one final time
Answer:
No, the expressions are NOT equivalent.
Step-by-step explanation:
Solve each:
11t - 4t
(11 × 2) - (4 × 2)
22 - 8
= 14
4t - 11t
(4 × 2) - (11 × 2)
8 - 22
= -14
14 is NOT equivalent to -14
Find the area of a triangle with base 13 inches and height 2 inches.
At noodles & company restaurant, the probability that a customer will order a nonalcoholic beverage is .48. Find the probability that in a sample of 12 customers, none of the 12 will order a nonalcoholic beverage.
The probability that in a sample of 12 customers at Noodles & Company restaurant, none of them will order a nonalcoholic beverage is 0.020211.
Explanation:In this question, we are given that the probability that a customer will order a nonalcoholic beverage at Noodles & Company restaurant is 0.48. We are asked to find the probability that in a sample of 12 customers, none of them will order a nonalcoholic beverage.
To find the probability that none of the 12 customers will order a nonalcoholic beverage, we can use the concept of independent events and the multiplication rule of probability.
The probability that a customer will order a nonalcoholic beverage is 0.48, so the probability that a customer will not order a nonalcoholic beverage is 1 - 0.48 = 0.52. Since each customer's decision is independent, the probability that none of the 12 customers will order a nonalcoholic beverage is (0.52)^12 = 0.020211.
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6000(1-(1+0.06)‐³²)/0.06(1+0.06)
Answer:
79716.98
Step-by-step explanation:
What is the value of x in 2x+8+3x+5=123
Answer:
5x + 13 = 123
- 13 - 13
5x = 110
5x/5 = 110/5
x = 22
Hey scientist has it the amount of rainfall during the afternoon is around 0.43 minutes and each hour what was the total amount of rain fall in three hours
Answer:
1.29 minutes
Step-by-step explanation:
The scientist has a record of the amount of rainfall during the afternoon as around 0.43 minutes in each hours.
Now, we have to calculate the total amount of rainfall in three hours.
As the each hour rainfall is of 0.43 minutes, so the total rainfall in three hours will be (0.43 × 3) = 1.29 minutes. (Answer)
If a 45 degree 45 degree 90 degree triangle has a hypotenuse length of 12 find the leg length
Answer:
Leg length = 8.5Step-by-step explanation:
let x represent the leg length
if we use the Pythagorean theorem we get:
x² + x² = 12²
then
2x² = 12²
Then
x² = 144/2 = 72
then
x = √(72)
=8,485281374239
6. The measures of the three angles of a triangle
are (3x), (x - 15)° and (2x + 15). What is the
measure of the angle with the greatest measure?
given that tan^2 0=3/8, what is the value of sec 0?
The value of [tex]\sec\theta =\pm\sqrt{\frac{11}{8}}[/tex].
Solution:
Given data:
[tex]$\tan^2\theta=\frac{3}{8}[/tex]
To find the value of [tex]\sec\theta:[/tex]
Using trigonometric identity,
[tex]\sec^2\theta=1+\tan^2\theta[/tex]
Substitute [tex]\tan^2\theta=\frac{3}{8}[/tex] in the identity, we get
[tex]$\Rightarrow \sec^2\theta=1+\frac{3}{8}[/tex]
1 can be written as [tex]\frac{1}{1}[/tex].
[tex]$ =\frac{1}{1} +\frac{3}{8}[/tex]
Do cross multiplication.
[tex]$ =\frac{8}{8} +\frac{3}{8}[/tex]
Denominators are same, so you can add the fractions.
[tex]$ =\frac{8+3}{8}[/tex]
[tex]$\Rightarrow \sec^2\theta =\frac{11}{8}[/tex]
Taking square root on both sides, we get
[tex]$\Rightarrow \sec\theta =\pm\sqrt{\frac{11}{8}}[/tex]
Option B is the correct answer.
Hence the value of [tex]\sec\theta =\pm\sqrt{\frac{11}{8}}[/tex].
Is 3/8 smaller than 11/12
Answer:
3/8 is smaller than 11/12
Step-by-step explanation:
3/8 is equal to 0.375 and 11/12 is equal to 0.91, which makes 3/8 a smaller number and 11/12 a bigger number.
Ben paid $86 for 40 gallons of gas. How much would 15 gallons cost?