Answer:
14014
Step-by-step explanation:
base of stone pyramid=154
height=91
b×h
154×91=4014
Connor is 6 feet tall and casts a shadow that is 2.5 feet long. He stands next to a tree that is 25 feet tall. How long is the shadow the tree casts? Round your numerical answer to the nearest whole number.
Answer:
10
Step-by-step explanation:
[tex]\frac{6}{2.5} =\frac{25}{x} \\6x=2.5*25\\6x=62.5\\x=10.417=10[/tex]
The Tree casts a height of 10.41 feet tall.
What is Proportion?In general, the term "proportion" refers to a part, share, or amount that is compared to a total.
According to the concept of proportion, two ratios are in proportion when they are equal.
According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.
Given:
Connor is 6 feet tall and casts a shadow that is 2.5 feet long.
He stands next to a tree that is 25 feet tall.
let the shadow of tree is x feet long.
Using proportion
6/ 2.5 = 25/x
6x = 62.5
x= 10.41 feet
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Find the equation of a line that passes through point (2,4) and has a gradient of 3
Answer:
y=3x-2
Step-by-step explanation:
y-y0=m(x-x0)
y-4=3x-6
y=3x-2
[tex]\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]
Find the equation of a line that passes through (2,4) and has a gradient of 3.
[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]
First, let's take a look at our provided information.
| Provided information:-
Point (2,4)Gradient 3What we need to find:-the line's equationHow to find it using our provided information (gradient & point)? write the equation of the line in point-slope form
point-slope form:-[tex]\sf{y-y_1=m(x-x_1)}[/tex]how to solve:-Replace y₁ with 4Replace m with 3 (m is the gradient)Replace x₁ with 2therefore,[tex]\sf{y-4=3(x-2)}[/tex]
[tex]\bigstar[/tex] On simplification,
[tex]\sf{y-4=3x-6}[/tex][tex]\bigstar[/tex] On further simplification,
[tex]\sf{y=3x-6+4}[/tex]Which results in:-
[tex]\sf{y=3x-2}[/tex]Good luck with your studies.[tex]\rule{300}{1}[/tex]
20. Factor the trinomial.
Factors of 40: (1, 40) (2, 20) (4, 10) (5, 8)
---Using these factors will help us find a pair that adds up to -13 and multiplies to equal 40
-5 + -8 = -13
-5 x -8 = 40
(v - 8)(v - 5)
The trinomial can be factored into the following expression (v - 8)(v - 5).
Hope this helps!
Help?????????????????
Answer:
please make the image less blurry
Step-by-step explanation:
write y=x^2-6x+17 in vertex form. step by step
Step-by-step explanation:
the general vertex form is
y = a(x - h)² + k
with (h, k) being the vertex.
after doing all the multiplications we get
y = a(x² - 2hx + h²) + k = ax² - 2ahx + ah² + k
our original equation is
y = x² - 6x + 17
and now we simply compare the cording parts :
ax² = x²
a = 1
-2ahx = -2hx = -6x
-2h = -6
h = -6/-2 = 3
ah² + k = 17
3² + k = 17
9 + k = 17
k = 8
so the vertex form is
y = (x - 3)² + 8
In a school, 60% of students have access to the internet at home. A group of 8 students is chosen at random. Find the probability that at least 6 students have access to the internet.
A rectangle has an area of 4y2 – 49 square
units. What are the dimensions of the
rectangle?
Answer:
D. (2y - 7) units by (2y + 7) units
Step-by-step explanation:
[tex]A(rectangle) =4y^2-49[/tex][tex]\implies A(rectangle) =(2y)^2-(7)^2[/tex][tex]\implies A(rectangle) =(2y-7)(2y+7)[/tex]-> D(rectangle) = (2y-7) units by (2y + 7) unitscan someone help me figure out how to solve this without a protractor or anything if possible? I have issues with focusing and i cant figure out the easiest way without a protractor; if it's even possible.
Answer:
C. Equilateral
Step-by-step explanation:
Every pair has equal angle
Answer:
A
Step-by-step explanation:
BECAUSE IT IS KIND OF ANGEL
Two quantities are proportional if their ___ are equal.
A) numerator
B) denominators
C) cross products
Answer:
C) cross products
Step-by-step explanation:
Let's say you were solving [tex]\frac{1}{2}=\frac{x}{4}[/tex] for example. You would need to use cross products to simplify the problem. Here, the left side would be 1*4, and the right side would be 2*x, giving you [tex]4=2x[/tex], thus, leading to the solution [tex]x=2[/tex]. We can see clearly that the cross products would thus need to be equal to each other.
A random sample of students at North High School were polled on whether they prefer a 15-minute break between classes in the morning or in the afternoon. The results are shown in the frequency table.
A 4-column table with 4 rows. The first column has no label with entries 10th, 11th, 12th, total. The second column is labeled morning with entries 21, 16, 19, 56. The third column is labeled afternoon with entries 17, 25, 20, 62. The fourth column is labeled total with entries 38, 41, 39, 118.
What is the joint relative frequency for 11th graders who want the break in the afternoon? Round to the nearest percent.
21%
25%
40%
61%
Answer:
21
Step-by-step explanation:
Answer: A. 21%
No equation
Find the area of a circle with an arc length of 4π and a central angle of 45 degrees. Leave the answer in terms of π.
[tex]~~~~~~\text{Arc length} = r \theta \\\\\implies 4\pi = r\left( 45 \times \dfrac{\pi}{180} \right)~~~~~~~~;[\theta ~ \text{is in radians.}]\\\\\implies 4 = \dfrac{45r}{180}\\\\\implies 45r = 180 \times 4 = 720\\\\\implies r = \dfrac{720}{45}\\\\\implies r = 16~ \text{units.}\\\\\text{Now,}\\\\\text{Area} = \pi r^2\\\\~~~~~~~=\pi \cdot 16^2\\\\~~~~~~~=256\pi~ \text{units}^2[/tex]
What is the slope of a line that goes through (2, -2) and (5, 6)
8/3
4/3
3/4
3/8
Answer:
correct option is A i.e. 8/3
19-29 find the derivative of the function using the definition of derivative. state the domain of the function and the domain of its derivative.
19. [tex]f(x)=3 x-8[/tex]
Answer:
The derivative of that function is 3x.
The domain of f(x) = x∈ℝ
The domain of f(x) is also x∈ℝ
Step-by-step explanation:
The expression below represents the perimeter, in feet, of Manual’s garden. 15 + 2x + 7 + 15 + 2x + 7 Use exactly two terms to write an equivalent expression to represent the perimeter, in feet, of Manual’s garden. The area, measured in square feet, of Manual’s garden is found by calculating 15(2x + 7). Manual incorrectly says the area can also be found using the expression 30x + 7. Describe the error in Manual’s expression. Also, find the difference, in square feet, between the actual area of Manual’s garden and the area found using his expression as a part of your explanation. Manual’s friend Sasha designs a square garden. Each side measures 3x + 5 in length. The perimeter of Sasha’s garden is how much larger than the perimeter of Manual’s garden?
Step-by-step explanation:
just keep on adding all of those up
Given the range (1, 1), (4, 2), (2, -1), with a coordinate transformation of f(x, y) = (x+2, y-3), what is the domain?
(-1, 4), (2, 5), (0, 2)
(-2, 3), (1, 4), (-1, 1)
(1, 1), (2, 4), (2, -1)
(3, 2), (12, 4), (-12, 2)
Answer:
A.
Step-by-step explanation:
I believe it is A. because there are the numbers that equal all together to get that domain.
please help i’m failing pre calc!!!
Linear function : y = x + 4
Exponential function : y = 4.5 e^(0.144 x)
Power function : y = 4.5 x^0.415
Ms. brown is planting a rectangular garden. the garden is 90
feet long and 50 feet wide. what is the area of her garden?
a 140 ft?
b 4,000 ft?
c 280 ft?
d 4,500 ft
Which has the digit 6 in the tenths place?
82.56
65.28
56.82
28.65
Answer:
28.65
hope this helps!
solve for X: -4x - 4 = -4(x+2)
Step-by-step explanation:
X= -4x-4=-4(x+2)
X=-4x-4=-4x-8
X=-4x+4x=-8+4
X=-4
Answer:
so there is no x but it looks like it is undefined
Step-by-step explanation:
-4x - 4 = -4(x+2) 1. multiply -4 with x and 2
-4x - 4 = -4x - 8 2. + 4 on both sides
-4x = -4x - 4 3. +4x on both sides
0 = -4
To walk to school, Pablo first walks 1/2 kilometer to Tanya's house.
Then Pablo and Tanya walk 3/5 kilometer to school. How far
does Pablo walk to school?
Answer:
1 1/10
Step-by-step explanation:
1/2 + 3/5
1/2 = 5/10
3/5 = 6/10
6/10 + 5/10 =
1 1/10
565.948063818 to 1 decimal place.
Answer:
565.9.
Step-by-step explanation:
The second decimal place is 4 so the first one stays at 9.
What is the length of the hypotenuse of the triangle?
what is the length of the hypotenuse of the triangle?
what is the length of the hypotenuse of the triangle?
triangle a b c. side a c is 7 feet and side c b is 4 feet. hypotenuse a b is unknown.
startroot 22 endroot ft
startroot 33 endroot ft
startroot 57 endroot ft
startroot 65 endroot ft
[tex]\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c=\sqrt{a^2 + b^2} \qquad \begin{cases} c=hypotenuse\\ a=\stackrel{adjacent}{7}\\ b=\stackrel{opposite}{4}\\ \end{cases} \\\\\\ c=\sqrt{7^2 + 4^2}\implies c=\sqrt{65}[/tex]
Evaluate.
11! over 9!(11 - 9)!
Answer:
220 is ans by many hardworking But I don't knows which
Answer:
[tex]\huge{\boxed{\sf 55}}[/tex]
Explanation:
[tex]\sf Combination \ Formula = \ _n C_r=\dfrac{n !}{r ! (n-r) !}[/tex]
Here given:
n = 11r = 9[tex]\bf _{11} C_9[/tex]Evaluate:
[tex]\rightarrow \sf \dfrac{11 !}{9 ! (11-9) !}[/tex]
[tex]\rightarrow \sf \dfrac{39916800}{ 362800 (2)}[/tex]
[tex]\rightarrow \sf \dfrac{39916800}{725760}[/tex]
[tex]\rightarrow \sf 55[/tex]
PLEASE HELP ME WITH THIS QUESTION ASAP!!!
How are monomials multiplied by binomials and trinomials?
Tom is making a rolling pin like the one shown out of maple hardwood.
The handles are 4-inch long cylinders with a diameter of 1 inch. The main body of the rolling pin has a diameter of 3 inches and is 14 inches
long. What is the total amount of wood needed to build the rolling pin? Round to the nearest tenth.
in³
Answer:
Step-by-step explanation:
can you give me the answer please? I have the same question
** BRAINLIEST!! **
A triangle has one side that is 4 centimeters long and
one that is 9 centimeters long.
The third side is a whole number of centimeters.
What is the LONGEST possible third side?
( these are the incorrect answers
35 and 9 )
we have three sides, let's look at the two smaller sides first.
check the picture below atop
if we move the sides closer and ever closer to each other, to the extent that one is right on top of the other, what is the length of the red side? Well, assuming the two smaller sides are one pancaked on top of the other, the red side will be as long as 9 - 4 = 5. However, the sides can't be on top of each other, because if that's so, we have a flat-line, and thus we wouldn't have a triangle. So whatever the third side may be, it must be greater than 5.
check the picture below at the bottom
Now, if we move the sides away from each other, farther and farther to the extent that one is parallel to the other, then the third side will just be as long as 4 + 9 = 13. However, we can't do that, because if that were to happen, we again will have a flat-line and not a triangle. So whatever the third side may be, it must be less than 13.
contsruction workers resurface parts of the N1 highway . they completed 2km per day how many kilometers are completed in total after the first three years
Answer:
2 190km
Step-by-step explanation:
365×3= 1 095
1 095×2km= 2 190km
Avery just got hired for a new job and will make $55,000 in her first year. avery was
told that she can expect to get raises of $1,500 every year going forward. how much
money in salary would avery make in her 18th year working at this job?
Avery's salary after 18 years will be equal to $82000.
What is the salary?The amount of money paid by any company to their employees on monthly basis is called salary.
Given that:-
Avery just got hired for a new job and will make $55,000 in her first yearAvery was told that she can expect to get raises of $1,500 every year going forward.The amount of salary taken by Avery in her 18th year will be:-
Per year incrememnt = $1500
So total increment in 18 years will be = 1500 x 18 = $27000
Total salary in 18th year will be = 55000 + 27000 = $82000
Therefore Avery's salary after 18 years will be equal to $82000.
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Here are some of the numbers that were picked out of the bag at bingo evening:
20 32 95 16 18 31 24 17
36. Which of these numbers is a square number?
37-38. Which of these numbers are prime numbers?
What fraction is 3 hours of 30 minutes
Answer:
7/2
Step-by-step explanation:
3 hours and 30 minutes = 7/2 in improper fraction
1 hour = 60 minutes
30 minutes = 30 minutes * 1 hour/60 minutes =30/60 = 1/2 hour
3 hours and 30 minutes:
= 3 hours + 1/2 hour
= 3 1/2 hours
= [(2 * 3)+1]/2
= [6+1]/2
= 7/2
