Answer:
Here,
We know that,
Sum of interior angles of a heptagon=900°
So,
b+120+110+140+135+160+100=900
or, b+765= 900
or, b=900-765
Therefore, b= 135°
Answer:
135
Step-by-step explanation:
the grand river is about 280km long. what is the length of this river on a map with scale of 1cm: 25km?
scale 1 cm............25 km
n cm...........280 km
25 x n = 1 x 280
n = 280 : 25
n = 112 cm on the map
A ferris wheel can accommodate 70 people in 20 minutes. How many people could ride the ferris wheel in 5 hours? What was that rate per hour?
Answer:
210 is the rate per hour and 1,050 people in 5 hours
Step-by-step explanation:
Answer:
Step-by-step explanation:
You need to get answer to people per hour first. 70 people could ride the ferris wheel in 20 minutes. 20 minutes is 1/3 of 60 minutes, which is an hour. So you multiply both the time and the amount of people by 3. 70 times 3 is 210. This is the amount of people that could ride the ferris wheel in 1 hour. Then, we need to multiply this number by 5, because we need the amount of people that could ride the ferris wheel in 5 hours, not 1 hour. So 210 times 5 is 1,050. 1,050 people could ride the ferris wheel in 5 hours.
Next, we need to find the rate per hour. You already have the answer to that though. It is the amount of people that could ride the ferris wheel, so your previous number: 210. Your rate would be 210 people per hour could ride the ferris wheel.
You're welcome, stranger :)
Rectangle ABCD has a perimeter of 22 units. The coordinates of the rectangle's vertices are A(-4,5), B(3,x), and D(-4,x). Which could be the value of x
Through the given information in the question, the value of x could be 12.
What is the perimeter of a rectangle?The perimeter of a rectangle is the total distance around the outside of the rectangle. It is calculated by adding together the length of all four sides of the rectangle. If the length of the rectangle is denoted by 'l' and the width is denoted by 'w', then the formula for the perimeter (P) of the rectangle is:
P = 2l + 2w
Alternatively, the formula can also be written as:
P = 2(l + w)
The perimeter of a rectangle is given by the sum of the lengths of all four sides. Therefore, we can write:
AB + BC + CD + DA = 22
We know that AB = CD = 9 since they are opposite sides of the rectangle. We also know that DA = BC = x - 5, since they are the other two sides of the rectangle.
Substituting these values into the perimeter equation, we get:
9 + x - 5 + 9 + x - 5 = 22
Simplifying the equation, we get:
2x - 2 = 22
2x = 24
x = 12
Therefore, the value of x could be 12.
Learn more about perimeter of a rectangle here:
https://brainly.com/question/15401834
#SPJ2
A bag of flour weighs 5 pounds. There are 435.5 grams in a 1 pound. How may grams of flour are in the bag?
Step-by-step explanation:
435.5 X 5 = 2177.5 g are in the bag
-6x +7 = -6x + 7 is a no solution or one solution or infinitely many solutions?
Answer:
IM because they are the same!!
YOUR WELCOME
Step-by-step explanation:
Can somone help me:)
Answer:
$6
Step-by-step explanation:
Write an equation that relates the time, t, it takes to travel a given distance, d.
The equation that relates the time, t, it takes to travel a given distance, d is d = rt
What is Speed?This is a scalar quantity and can be defined as the magnitude of the rate of change of its position with time.
d = rt
where d is distance, r is speed or rate, t is time.
We can calculate the time by dividing the distance with the rate (speed).
t = d/r
This is why it was chosen as the most appropriate choice.
Read more about Speed heere https://brainly.com/question/4931057
Watch help video Given f(x) - 2x^3 + kx - 4 and the remainder when f(x) is divided by x + 2 is -18. then what is the value of k
Answer:
The function is
The remainder when f(x) is divided by x−2 is 23
To find:
The value of k.
Solution:
According to the remainder theorem, if a polynomial P(x) is divided by (x-c), then the remainder is P(c).
It is given that, the remainder when f(x) is divided by x−2 is 23. By using the remainder or theorem, we get
Put x=2, to find the value of f(2)
Using (i) and (ii), we get
Therefore, the value of k is 8.
Step-by-step explanation:
hope this helps
f(x) - 2x³ + kx - 4 and the remainder when f(x) is divided by x + 2 is -18. then k is 15.
What is Remainder theorem?The remainder theorem states that when a polynomial p(x) is divided by (x - a), then the remainder = f(a)
f(x)=2x³ + kx - 4
x+2=0
x=-2
By the remainder theorem, the remainder when dividing by x-a is f(a)
f(-2)=2(-2)³+k(-2)-4
=-2(-8)-2k-4
=16-2k-4
The remainder is -18.
So, 16-2k-4=-18
12-2k=-18
-2k=-18-12
-2k=-30
k=15
Hence the value of k is 15.
To learn more on Remainder theorem click:
https://brainly.com/question/9160275
#SPJ2
How to do dis?????????
Answer:
-1
Step-by-step explanation:
f(x) =3x-7
x=2
f(x)=3×2-7
f(x)=6-7
f(x)=-1
Work-out corner has 5 more than 3 times as many exercise bicycles as the gym. Together they have 21 bicycles. Solve the equation x+3x+5=21 to find the number of bicycles at work-out corner.
A. 17 bicycles
B. 7 bicycles
C. 4 bicycles
Or D. 25 bicycles
What do you notice about the number of factors of 42 and the number of arrays Brad can make with the stamps?
Answer: Factors of 42: 1, 2, 3, 6, 7, 14, 21 and 42. I don’t know the second
Step-by-step explanation:
HELP WITH ALGEBRA 2
The altitude of a right triangle is 7 cm less than its base. If the hypotenuse is 13 cm, find the other two sides
Answer:
algebra
Step-by-step explanation:
bra
Find the value of x for which p || q. Question options:
Answer:
The question is not clear. please write the complete question
The ratio of boys to girls in our class is 4 to 5. If
there are 8 girls, then how many total students are
in the class?
Answer:
6.4/6
Step-by-step explanation:
Since
4 : 5 = X : 8
Then we know
4/5 = X/8
Multiplying both sides by 8 cancels on the right
8 × (4/5) = (X/8) × 8
8 × (4/5) = X
Then solving for X
X = 8 × (4/5)
X = 6.4
Therefore
4 : 5 = 6.4 : 8
POINTS!! I NEED HELP WITH THIS, WILL GIVE BRAINLIEST TO BEST ANSWER
Answer:
Conjecture
Disjunction
Counterexample
Conjunction
Inductive reasoning
Conditional
Step-by-step explanation:
I used Quizlet and I knew most of them.
Un fabricante de zapatos quiere comprar una máquina cepilladora. Para
esto, produce una cantidad de pares de zapatos y los lleva a vender a una
feria. Si vende cada par a S/ 120, podrá comprarse la máquina cepilladora
y le sobrará S/ 1200, pero si vende cada par a S/ 110, comprará la máquina
cepilladora y le sobrará S/ 700. Calcula la suma de cifras del precio de la
máquina cepilladora.
Answer:
Confused on what you want as the answer
Step-by-step explanation:
simplify 5(2x-4)-3(x+6) /15
Answer:
Your answer is: 7x-38/15
Step-by-step explanation:
Hope this helped : )
Shen runs 7 miles in 50 minutes. At the same rate, how many miles would he run in 75 minutes?
Answer:
(7 miles)/(50 minutes) = (x miles)/(75 minutes)
7/50 = x/75
7*75 = 50x
525 = 50x
50x = 525
x = 525/50
x = 10.5
He can run 10.5 miles in 75 minutes
Step-by-step explanation:
Answer:
10 [tex]\frac{1}{2}[/tex] miles in 75 minutes.
Step-by-step explanation:
Let us first analyze the problem,
we are given that she runs 7 miles in 50 mins
make it a fraction
[tex]\frac{7}{50}= \frac{x}{75}[/tex] (we cross multiply)
525=50x (divide both sides by 50)
x=10.5 (x= the amount of miles)
What is the measure of angle 1? A triangle has angles 29 degrees, 65 degrees, and 2. The exterior angle to angle 2 is 1. 36° 86° 89° 94°.
Answer:
94°
Step-by-step explanation:
The exterior angle is equal to the sum of the remote interior angles.
∠1 = 29° +65° = 94°
_____
Additional comment
You can see this when you realize that both the sum of the remote angles and the exterior angle are supplementary to the third interior angle, ∠2. Angles supplementary to the same angle are congruent. That is, the sum of 29° and 65° is congruent to ∠1.
Answer:
94°
or d
Step-by-step explanation:
the points u,v, w and x all lie on the same line segment , in that order ,such that the ratio of uv: vw: wx is equal to 1:3:4.if ux=8,findvx.
Answer:8
Step-by-step explanation:
What is the slope of a line perpendicular to the line whose equation is
12x – 9y = 27. Fully simplify your answer.
keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above
[tex]12x-9y = 27\implies -9y=-12x+27\implies y=\cfrac{-12x+27}{-9} \\\\\\ y=\cfrac{-12x}{-9}+\cfrac{27}{-9}\implies y=\stackrel{\stackrel{m}{\downarrow }}{\cfrac{4}{3}}x-3\impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]
therefore
[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{\cfrac{4}{3}} ~\hfill \stackrel{reciprocal}{\cfrac{3}{4}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{3}{4}}}[/tex]
A new hospital tracked the number of births during its first 6 months of operation, as shown in the table. A 2-column table with 6 rows. The first column is labeled month with entries 1, 2, 3, 4, 5, 6. The second column is labeled number of births with entries 137, 110, 93, 70, 65, 77. Find a quadratic function that models the data. Round numerical values to the nearest whole number. F(x) = x2 x Use the function to predict the number of births for month 8. There will be about births.
The hospital uses the quadratic model to predict the number of births
The equation of the quadratic model is f(x) = 4 x^2 -43 x +178, and the number of births for month 8 is 90
How to determine the quadratic modelTo determine the quadratic model, the make use of a graphing calculator, that has the following calculation summary
a = 4.339 b = -43.461 c = 178.3A quadratic model is represented as:
[tex]y= ax^2 + bx + c[/tex]
So, we have:
[tex]y = 4.339 x^2 -43.461 x +178.3[/tex]
Approximate
[tex]y = 4 x^2 -43 x +178[/tex]
Rewrite as:
[tex]f(x) = 4 x^2 -43 x +178[/tex]
At the 8th month, we have x = 8.
So, the function becomes
[tex]f(8) = 4 * 8^2 -43 *8 +178[/tex]
[tex]f(8) = 90[/tex]
Hence, the number of births for month 8 is 90
Read more about quadratic models at:
https://brainly.com/question/1214333
Answer:
4
-43
178
90
Step-by-step explanation:
yep
Please Answer Number 5
Answer:
27 square feet
Step-by-step explanation:
The area of each triangle is given by the formula ...
A = 1/2bh
A = 1/2(3 ft)(3 ft) = 4.5 ft²
The area of 6 such triangles will be 6 times this value, or ...
hexagon area = 6 × 4.5 ft² = 27 ft²
The area of Amy's hexagon table is 27 square feet.
Lisa supplies costumes to a number of theater companies and recently lent out a number of different hats. ski hats 4 berets 1 turbans 5 Considering this data, how many of the next 18 hats requested from Lisa's inventory should you expect to be turbans?
The total number ot turbans that Lisa's inventory should have 9 turbans in the next 18 hats when requested, under the condition that recently lent out a number of different hats. ski hats 4 berets 1 turban.
The evaluated probability of turbans in Lisa's inventory is 5/10 or 1/2. This projects that out of every 10 hats in Lisa's inventory, 5 are turbans.
To evaluate the expected number of turbans in the next 18 hats taken from Lisa's inventory, we can apply the formula:
Expected number of turbans = Probability of turbans × Total number of hats requested
Staging the values
The turbans that are expected
= (1/2) × 18
= 9
Then, it can expected that 9 turbans in the next 18 hats requested from Lisa's inventory.
To learn more about probability
https://brainly.com/question/13604758
#SPJ1
write an expression to represent: six less than the product of four and a number x.
Answer:
6-(4*x) This is your answer, because less than is also another word for subtraction.
Multiple
c(2/3a +1/4b)
Answer:
8bc/12ab + 3ac/12ab
Step by step explanation:
c×(2/3a +1/4b)
c× (8b/12ab + 3a/12ab)
8bc/12ab + 3ac/12ab
What is the equation of this graphed line?
Enter your answer in slope-intercept form (y = mx + b) in the
box
Answer:
[tex]y = - \frac{9}{8} x + 7[/tex]
Step-by-step explanation:
[tex]m = \frac{ - 2 - 7}{8 - 0} = \frac{ - 9}{8} [/tex]
Since this line passes through (0,7), then this point satisfies the equation of the line;
[tex]y = \frac{ - 9}{8} x + b[/tex]
[tex]7 = \frac{ - 9}{8} (0) + b[/tex]
[tex]7 = b[/tex]
[tex]b = 7[/tex]
Hey there!
We are given 2 points that the line passes through, so we can easily determine the slope of the line:
[tex]\bold{\displaystyle\frac{y2-y1}{x2-x1} }[/tex]
[tex]\bold{\displaystyle\frac{-2-7}{8-0}=\frac{-9}{8} }[/tex]
So now we have the slope.
However, we also need to find the y-intercept (we are actually given the y-intercept, (0,7) or just 7)
Hence, the equation is
[tex]\boxed{\boxed{\bold{y=-\frac{9}{8} x+7}}}[/tex]
Hope everything is clear.
Let me know if you have any questions; if you do, please comment.
#LearningDoesn'tEnd
someone please help me with this
Answer:
50° is the correct answer
Step-by-step explanation:
Right Triangles
The right triangles are identified because they have an internal angle of 90°. The basic trigonometric ratios can be used to find angles and side lengths as needed.
We have a right triangle with the following characteristics:
The hypotenuse is 13 units long
The indicated angle is opposite to the leg of 10 units long.
When we know the length of the opposite side, we use the sine ratio. Let's call θ to the required angle:
[tex]\displaystyle \sin\theta=\frac{\text{opposite side}}{\text{hypotenuse}}[/tex]
[tex]\displaystyle \sin\theta=\frac{10}{13}[/tex]
Using a calculator set in mode degrees, the angle is:
[tex]\theta=\sin^{-1}\frac{10}{13}[/tex]
[tex]\theta\approx 50.3^\circ[/tex]
First choice: 52° is not correct because is not a good approximation to 50.3°
Second choice:38° is not correct because is not a good approximation to 50.3°
Third choice: 50° is a good approximation to 50.3°. Correct Answer
Fourth choice: 40° is not correct because is not a good approximation to 50.3°
Use The diagram to complete the statement
Answer:
Looks confusing I don't really know this but try your best !! :')
Step-by-step explanation:
i need this now asap
Answer:
I got you :)
Step-by-step explanation:
Remember the formula for the lateral surface area of a cylinder?
it is 2 x pi x radius x height
2·π·2·5 = 62.83185
Answer: 62.83in^3
the in^3 is because its in square inches
Hope this helps!
Answer:
[tex]\rm\hookrightarrow Lateral\: surface\: area=[/tex]62.8in²
Step-by-step explanation:
[tex]Solution,\\\\Here,\\\\Radius(r)=2in\\\\Height(h)=5in\\\\Now,\\\\\rm\hookrightarrow Lateral\: surface\: area=2\pi rh\\\\\rm\hookrightarrow Lateral\: surface\: area=2\times3.14\times2in\times5in\\\\\rm\hookrightarrow Lateral\: surface\: area=62.8in^{2}[/tex]