The answer is:
The total surface area of the pyramid is:
[tex]TotalSurfaceArea=192ft^{2}[/tex]
Why?To calculate the surface area of a square pyramid, we need to use the following formula:
[tex]TotalSurfaceArea=\frac{1}{2}pl+BaseArea[/tex]
Where,
p, is the perimeter of the base.
l, is the slant of the pyramid.
Base area, is the area of the square base.
Now, from the statement we know that the base has a length of 6 feet, and the height of a face (slant) is 13 feet.
So, calculating, we have:
[tex]BaseArea=BaseLength^{2}=(6ft)^{2} =36ft^{2}[/tex]
[tex]Perimeter=4*side=4*6feet=24feet[/tex]
The total surface area will be:
[tex]TotalSurfaceArea=\frac{1}{2}l+BaseArea[/tex]
[tex]TotalSurfaceArea=\frac{1}{2}*24ft*13ft+36ft^{2}[/tex]
[tex]TotalSurfaceArea=156ft^{2}+36ft^{2}=192ft^{2}[/tex]
Hence, we have the total surface area of the pyramid is:
[tex]TotalSurfaceArea=192ft^{2}[/tex]
Have a nice day!
What is the value of x?
Answer:
x = 12
Step-by-step explanation:
The 2 given angles form a straight angle and are supplementary, thus
10x - 20 + 6x + 8 = 180
16x - 12 = 180 ( add 12 to both sides )
16x = 192 ( divide both sides by 16 )
x = 12
[tex] 2 {r}^{2} - 4r - 16[/tex]
Answer:
Step-by-step explanation:
Take out a common factor of 2
2(r^2 - 2r - 8) Now factor.
2(r - 4)(r + 2)
Answer: r=4,-2
2r^2-4r-16=0
2(r^2-2r-8)=0
2(r-4)(r+2)=0
r=4,-2
Please help will give brainliest
The domain is the set of all real numbers
ANSWER
All real numbers.
EXPLANATION
The given relation is
R={(x,y):y=-x²}
The domain refers to the x-values for which the relation is defined.
This relation is defined by the polynomial
[tex]y = - {x}^{2} [/tex]
Polynomials are defined for all real numbers.
The domain is all real numbers.
Hamburgers cost $2.50 and cheeseburgers cost $3.50 at a snack bar. Ben has sold no more than $30 worth of hamburgers and cheeseburgers in the first hour of business. Let x represent the number of hamburgers and y represent the number of cheeseburgers. The inequality 2.50x + 3.50y ≤ 30 represents the food sales in the first hour.
If Ben has sold 4 cheeseburgers, what is the maximum value of hamburgers Ben could have sold?
Ben could have sold no more than ____ hamburgers.
Answer:6
Step-by-step explanation:
find the range
3, -9, 7, -1, 5, -4, 2
Answer:
16
Step-by-step explanation:
to find the range, you have to subtract the smallest number from the biggest number.
In this case 7-(-9)
7-(-9)=16
range=16
Answer:
16
Step-by-step explanation:
The range is the difference between the greatest number and the least number.
The greatest number here is 7.
The least number here is -9
Now, Subtract the least number from the greatest number:
7 - (-9) = 16
Hence the range is 16.
Please Help knoe timed and will give thanks and brianlesst
Using the above table, Saturn is about how many times larger than Mars?
You will end up with a big ugly decimal. Round your answer to the nearest whole number.
Answer:
Step-by-step explanation:
To get the answer just use the numbers from the table which you have stated and you are right, you do get a long decimal.
5.69*10^26 / 6.42 * 10^23 = 886.29
which rounds to 886
find the solution of this system of equations 3x+7y=46 and -3x-8x=-50
Answer:
x = 6 and y =4
Step-by-step explanation:
It is given that,system of equations 3x+7y=46 and -3x-8x=-50
To find the solution
Let 3x + 7y = 46 --------(1)
-3x-8x=-50 -------(2)
eq(1) + eq(2)
3x + 7y = 46
-3x - 8x = -50
-y = -4
y = 4
(1) ⇒ 3x + 7y = 46
3x + 7*4 = 46
3x= 46 - 28
3x = 18
x = 18/3 =6
Therefore x = 6 and y = 4
Attempt TOT
Find the mean of the following data set.
42, 45, 58, 63
Answer:
52
Step-by-step explanation:
The mean is calculated by finding the sum of all the values and dividing it by the number of values there are in total :)
42 + 45 + 58 + 63 = 208
208 ÷ 4 = 52
The Sun is v kilometers from the upper edge of the Earth's atmosphere and q kilometers from the surface of the Earth.
Which of the following expressions always represents the distance between the Earth’s surface and the upper edge of the Earth's atmosphere?
Answer:
q - v
Step-by-step explanation:
v = distance between Sun and atmosphere
q = distance between Sun and surface of Earth
So the distance between the atmosphere and the surface of the earth is the difference between them. Since q > v:
d = q - v
Tasha is buying a cd that is regularly $12.99 and is on sale for 1/4 off.
9.74$
IS the final answer
Compare the decimals below and add <, >, or = to make the statement correct:
1.805 and 1.803
0.757 and 0.393
0.99 and 0.990
1.805>1.803
0.757>0.393
0.99<0.990
A trick is looking at each decimal place is looking from left to right and seeing which number has the most value
a car travels 1.2 miles from point a to point b. the car then turns at point b and travels 1.8 miles to point c before heading back to point a. the distance from point point c to point a is 1.6 miles. if the cars path is represented by a triangle what angle turn
Since we are given with the three sides of the triangle and asked to determine the angle, we can use the cosine law.
b² = a² + c² - 2ac(cosB)
Substituting the known values,
(1.8)² = (2.4)² + (1.6)² - 2(2.4)(1.6)(cosB)
The value of B from the equation is 48.6°.
Answer:
B = 60.6 degree
Step-by-step explanation:
Side AB, c = 1.2 miles
Side BC, a = 1.8 miles
Side CA, b = 1.6 miles
Use Cosine rule to find the angle B.
[tex]Cos B = \frac{a^{2}+c^{2}-b^{2}}{2ac}[/tex]
Putting the values of a, b and c
[tex]Cos B = \frac{1.8^{2}+1.2^{2}-1.6^{2}}{2\times 1.8\times 1.2}[/tex]
[tex]Cos B = \frac{3.24+1.44-2.56}{4.32}[/tex]
[tex]Cos B = 0.491[/tex]
B = 60.6 degree
Can someone help me with this
Answer:
y = 6
Step-by-step explanation:
⇒ 17 y + 2 = 5 y + 74
→ ( - 5 y from both sides )
⇒ 12 y + 2 = 74
→ ( -2 from both sides )
⇒ 12 y = 72
( ÷ by 12 on both sides )
⇒ y = 6
Answer:
y = 6
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
17*y+2-(5*y+74)=0
Pull out like factors :
12y - 72 = 12 • (y - 6)
Solve : 12 = 0
Add 6 to both sides of the equation :
y = 6
Can 5, 6 and 30 squared form a right triangle?
Answer:
no
Step-by-step explanation:
A triangle is equal to 180.
5²+6²=30²
25+36=900
61=900
No solution
Answer:
No; it cannot form a right triangle
Step-by-step explanation:
Use the Pythagorean theorem.
5 squared + 6 squared ≠ 30 squared
25 + 36 ≠ 90000
61 ≠ 90000
Also, note that that the sum of the two shorter lengths have to be greater than the longer length to form any kind of triangle.
how do you change y=x^2-10x-6 into vertex form
Converting to vertex form is actually pretty simple so I think you might find something to help you out here. :)
https://mathbitsnotebook.com/Algebra1/Quadratics/QDVertexForm.html
-104=-2(1+7x)-4 answer
Add 4 to both sides
-104 + 4 = -2(1 + 7x)
Simplify -104 + 4 to -100
-100 = -2(1 + 7x)
Divide both sides by -2
-100/-2 = 1 + 7x
Two negatives make a positive
100/2 = 1 + 7x
Simplify 100/2 to 50
50 = 1 + 7x
Subtract 1 from both sides
50 - 1 = 7x
Simplify 50 - 1 to 49
49 = 7x
Divide both sides by 7
49/7 = x
Simplify 49/7 to 7
Switch sides
Answer: x = 7
QUICK ON A TIMER!!!
Using distributive property, which of the following expressions is equivalent to 6(3 + 6 y)?
A. 9 + 6Y
B. 18 + 6 y
C. 9 + 12y
D. 18 + 36y
Answer:
D. 18+36y
Step-by-step explanation:
Because you would simply multiply each of the numbers in the parenthesis by the number outside, to get D.
Answer:
D. 18 + 36y
Step-by-step explanation:
Distributive property
The multiplication of a number by a sum is equal to the sum of the multiplications of that number for each of the addends.
6(3 + 6y) = (6)(3) + (6)(6y)= 18 + 36y
help pls it's for t o m o r r o w
it's D since you're trying to find the slope/ cost per Issue you divide 63/18 which simplifies to 7/2 and as a decimal gives you 3.50 which is the number of dollars per issue.
in the reaction c + o2 —> co2 which element is reduced in the reaction?
C
O2
CO2
Answer: b
Step-by-step explanation:
Answer:
B - O2
Step-by-step explanation:
identify the period of the graph
ANSWER
The period is 4π
EXPLANATION
The period refers to the interval on which the graph completes one full cycle.
In other words, it is the interval on which the graph repeats itself.
From the graph, the function repeats itself after every 4π units.
Therefore the period is 4π
Write the formula to calculate the height, h
Answer:
kg m2 / s2 is the formula
good luck!
Answer:
kg m2 / s2 is the formula
Step-by-step explanation:
Which system of inequalities is graphed below?
Answer:
C.Step-by-step explanation:
We have the parabolas:
(1) y = x² + 2 and (2) y = x² - 6
The common shaded region is below parabola (1) and above parabola (2).
Therefore y < x² + 2 and y > x² - 6
Answer:
its wrong it is a.
Step-by-step explanation:
The Lin family bought a dozen bagels. They ate 1/4 of the bagels today and 5/12 of the bagels yesterday. What fraction of the bagels did they eat in all? Explain how you found your answer.
Answer:
2/3
Step-by-step explanation:
To be able to find what the total fraction of bagels eaten, the fractions need to have common denominators. To do this, you multiply 1/4 by 3 in both the numerator and the denominator. Now that the two fractions have the same denominator, you can add the fraction's numerator to get the total fraction, 8/12. However, 8/12 can be simplified more, so you divide by 4 and end up with 2/3.
Imagine that you are an elementary-school math teacher. You need to develop a lesson plan for teaching measurement and will be using items such as rulers and three-dimensional geometric shapes. Describe the strategies you will use to adjust instruction to include a student who has a visual disability
I don’t see what you trying to explain
When teaching measurement to a student with a visual disability, use tactile materials, auditory cues, non-visual measurement tools, real-world examples, and encourage peer collaboration.
Explanation:When teaching measurement to a student with a visual disability, it is important to use alternative methods of instruction that focus on touch and auditory experiences. Here are some strategies you can use:
Provide tactile materials: Allow the student to explore three-dimensional geometric shapes with their hands. You can use manipulatives or 3D models to enhance their understanding.Use auditory cues: Describe the measurements using clear and precise language. For example, instead of saying 'This object is 5 centimeters long', say 'This object is as long as five paperclips.' This helps the student form a mental image.Include non-visual measurement tools: Utilize tools like braille rulers, talking calculators, or measuring tapes with tactile markings. This allows the student to independently measure objects.Provide real-world examples: Relate measurements to everyday situations. For example, you can discuss the length of a classroom desk or the volume of a water bottle. This helps the student connect measurement concepts to their own experiences.Encourage peer collaboration: Pair the student with a sighted buddy who can assist them during hands-on activities. This promotes inclusive learning and allows the student to engage with their peers.Learn more about How to adjust instruction for a student with a visual disability in math measurement lessons here:https://brainly.com/question/39515127
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How the hell is the answer 6 or -4
One of the answers I get is -6 which is not the right one. Where the heck does that -4 come from
Answer:
The values of y is -4 and 6
Step-by-step explanation:
Solve by factoring y^2 -2y=24
We need to factorize the term y^2 -2y=24.
Rearranging:
y^2 - 2y -24 =0
For factorizing we need to break the middle term such that their sum is equal to -2y and product is equal to -24y^2
We know, -6y*+4y = 24y^2 and -6y + 4y = -2y
y^2 -6y +4y -24 =0
y(y-6) +4(y-6) = 0
(y+4)(y-6)=0
Now, y+4 =0 and y-6 =0
Finding value of y,
y = -4 and y =6
So, the values of y is -4 and 6
Which equation when graphed has X-intercepts at (8,0) and (-2, 0) and a y-intercept at (0-48)?
Answer:
[tex]y=3x^{2}-18x-48[/tex]
Step-by-step explanation:
we know that
The equation of a vertical parabola in factored form is equal to
[tex]y=a(x-x1)(x-x2)[/tex]
where
a is a coefficient
x1 an x2 are the roots or x-intercepts
In this problem we have
[tex]x1=8,x2=-2[/tex]
substitute
[tex]y=a(x-8)(x+2)[/tex]
with the y-intercept (0,-48) find the value of a
substitute
[tex]-48=a(0-8)(0+2)[/tex]
[tex]-48=-16a[/tex]
[tex]a=3[/tex]
The equation is equal to
[tex]y=3(x-8)(x+2)\\ \\y=3(x^{2}+2x-8x-16)\\ \\ y=3(x^{2} -6x-16)\\ \\y=3x^{2}-18x-48[/tex]
Answer: fx=3(x-8)(x+2) or answer C
Step-by-step explanation:
bc i said so
Find the value of x in the isosceles triangle shown
Answer:
x = 8√5
Step-by-step explanation:
The large triangle is divided into two smaller ones. The right one has one leg of length 8, one leg of length x/2, and hypotenuse of length √80.
Appling the Pythagorean Theorem, we can find x:
8² + (x/2)² = (√80)²,
or: x^2
64 + x^2/4 = 80, or ------- = 80
4
Then x^2 = 320 = 64*5. Taking the square root of both sides, we get:
x = 8√5
The price of a flight was increased by 3% to £720. What was the price before the increase?
Give your answer to the nearest penny.
Step-by-step explanation:
let the price be x before increased.
After it is increased then it becomes 1.03x
i.e. 1.03x= 720
x=699.03 which is the price after it is increased.
The question is an illustration of percentage increase, and the price before the increase is £699
How to determine the initial price?The given parameters are:
Initial = x
Rate = 3%
New price = £720
The equation of the initial price is:
x * (1 + rate) = New price
So, we have:
x * (1 + 3%) = 720
Evaluate the sum
x * 1.03 = 720
Divide both sides by 1.03
x = 699
Hence, the price before the increase is £699
Read more about percentage increase at:
https://brainly.com/question/2085058
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What is the solution to the set of equations in the form (a,b)
a-3b=16
a=b-2
Answer:
(-11, - 9)
Step-by-step explanation:
Given the 2 equations
a - 3b = 16 → (1)
a = b - 2 → (2)
Substitute a = b - 2 into (1)
b - 2 - 3b = 16
- 2b - 2 = 16 ( add 2 to both sides )
- 2b = 18 ( divide both sides by - 2 )
b = - 9
Substitute b = - 9 into (2) for the corresponding value of a
a = - 9 - 2 = - 11
Solution is (- 11, - 9)
A software designer is mapping the streets for a new racing game. All of the streets are depicted as either perpendicular or parallel lines. The equation of the lane passing through A and B is -7x + 3y = -21.5. What is the equation of the central street PQ?
Answer:
y = (-3/7)x + 9 ( -1.5x − 3.5y = -31.5)
Step-by-step explanation:
Normally, there's a list of possible answers associated to this question, and the answer is usually in the form of -1.5x − 3.5y = -31.5 (equivalent to y = (-3/7)x + 9)
You forgot to provide the reference image which is essential to answer the question, but I managed to find it... and attach it to my answer.
In the given equation for AB, if we place the y term on the left and x term on the right, we see the slope of that line is 7/3 (y = (7x - 21.5)/3 ==> 7/3x).
We see on the image that the line PQ is perpendicular to AB. That means that its slope is -3/7.
So, we have a slope of -3/7 and we know it passes through point P (7,6), let's see if we can find the missing term.
y = (-3/7) x + b
6 = (-3/7) 7 + b
6 = -3 + b
b = 9
So the equation of the line forming the street PQ is y = (-3/7)x + 9