Frank is making a dog bed from a pattern. The picture shows the length and width of the piece of fabric he needs. Which is the area of the piece of fabric?
Answer:
252 square feet
Step-by-step explanation:
Which equation represents a line which is perpendicular to the line 5x + 2y = 12?
Answer:
y = ²/₅ x - 3Step-by-step explanation:
Changing to slope-intercept form:
5x + 2y = 12 {subtract 5x from both sides}
2y = -5x + 12 {divide both sides by 2}
y = -⁵/₂ x + 6
y=m₁x+b₁ ⊥ y=m₂x+b₂ ⇔ m₁×m₂ = -1
{Two lines are perpendicular if the product of theirs slopes is equal -1}
y =-⁵/₂ x + 1 ⇒ m₁ = -⁵/₂
-⁵/₂× m₂ = -1 ⇒ m₂ = ²/₅
So, any line perpendicular to 5x + 2y = 12 must have slope m =²/₅
A regular octagonal pyramid. Each side of the base is 6 cm long. it has a height of 10cm. Find the surface area of the pyramid
9514 1404 393
Answer:
470.16 cm²
Step-by-step explanation:
The apothem of the base is used for two purposes: to find the area of the base, and to find the slant height of each face.
The apothem of the base for side length s is ...
s/2 = a·tan(π/8)
a = s/(2·tan(π/8)) ≈ 7.24 cm
The slant height of a triangular face is found using the Pythagorean theorem. The apothem of the base and the height are legs of the right triangle whose hypotenuse is the slant height. For slant height x, we have ...
x² = 10² + a² = 100 +52.46
x ≈ √152.46 ≈ 12.35
__
The area of the 8 triangular faces will be ...
A = 1/2Px . . . . where P is the perimeter of the pyramid
The area of the base will be ...
A = 1/2Pa
So, the total surface area is ...
A = 1/2P(a + x) = (1/2)(8)(6 cm)(7.24 +12.35 cm) ≈ 470.16 cm²
The answer is 470.16 cm²
I am a solution . My number cubed is equal to - 64 . What number am I?
Answer:
-4
Step-by-step explanation:
-4^3 = -64
Need help show work I will give brainliest if answer is correct
Answer:
Step-by-step explanation:
surface of the entire object
1) bottom. 8*16= 128 sq inchs
2) triangle sides. 1/2 b*h = 1/2*16 *6 = 48 but there are 2 , the front, and the back. (2*48)=96 sq
3) pitched tops 10*8=80 but there are 2 80*2 = 160 sq
total = 1+2+3
total = 128 + 96 + 160
total surface area = 384 [tex]inchs^{2}[/tex]
hi waht is m⁵×m⁴ in algebra maths
Answer:
m⁹
Step-by-step explanation:
In such questions , when any two or more numbers with exponents are multiplied and their bases are equal , the exponents of all the numbers add up . So ,
[tex]m^{5} \times m^{4} = m^{5+4} = m^{9}[/tex]
Express the ratio in it's simplest form:
4n/n^2
Simplify the expression.
4/n
The wildflowers began blooming by my house at the beginning of March. The first week there were 88 blooms. After week two, there were 176 flowers in bloom. If the flowers continue to bloom at the same rate each week, how many flowers will there be after 6 weeks?
Answer:528
Step-by-step explanation:
This one is just like the other one but different numbers. if you add 88 and 88 you get 176 so that means 88 blooms each week soooooo if you multiply 88 x 6 you would get 528
Sarah peeled 84 oranges in 7 hours. At that rate, how many oranges would she peel in 15 minutes?
solve the equation y=5x+3,x²-y³+45=0
Answer:
y=3.5572205
x=0.1114441
Step-by-step explanation:
Please Help :(
Evaluate the expression when x = 9:
5|6−x|
A)−30
B)10
C)15
D)75
Answer:
it is C
Step-by-step explanation:
Its c because i had the exact same problem
Write an equation of the line that passes through the given points.
(2,6) (-4,-2)
Answer:
y = 8/6x + 10/3
Step-by-step explanation:
You find the slope (m) first which is
Change of y over change of x
(6) - (-2) over (2)- (-4)
8/6 = m
Then you plug it into the equation y = mx + b
y = (8/6)x + b
Now you pick any of the set of points to plug in for x and y to solve for b
(6) = (8/6)(2) + b
6 = 8/3 + b
b = 10/3
Then plug into the equation for just m and b to get the equation of the line that passes thru both sets of points.
y = 8/6x + 10/3
Janice paid $820 plus 7% sales tax for her airfare. How much did she pay in total for her airfare?
Answer:
877.40
Step-by-step explanation:
what is the rate of change for the function y= 5x+ 25
Answer:
5
Step-by-step explanation:
rate of change = slope = 5
Can someone plz help me like please
Answer:
1000 pennies 100 is 1 10th 400 makes 500 which is half of 1000
Please help! I don't get it cause the person that was teaching it had horrible handwriting ;-;
Answer: power of a power
Step-by-step explanation:
in the expression (x^4)^9, 4 and 9 are powers. 9 is the power of x^4, so you have to multiply 4 by 9 to get x^36. this means it's a power of a power
please awnser photo will give brain if you are first
Answer:
THE SECOND ONE
Convert the following repeating decimal to a fraction in simplest form.
.3
Answer:
1/3
Step-by-step explanation:
When you divide 1 by 3, you get .3 repeating.
A marching band sold 350 tins of popcorn for $8 each. Each tin cost the
band $4. How much money did the band make?
$ 1.400
$700
$350
$4.200
Answer:
The band made $1,400
Step-by-step explanation:
8-4=4
350*4=1,400
Pls help me it’s overdue!!!
Answer:
Step-by-step explanation:
a = 1935 / 5 is the change
b = 1960 / 10 is the change
c = 1950 / 20 is the change
They are all increasing i'd assume they all went threw a positive change
how do i answer this please?
Answer:
a) [tex]5\sqrt{3} + 3\sqrt{5}[/tex]
b) [tex]4(\sqrt{2} + \sqrt{7})[/tex]
Step-by-step explanation:
a) [tex]9\sqrt{3} - 4\sqrt{3} +\sqrt{5} + 2\sqrt{5}[/tex]
Taking √3 & √5 common respectively,
[tex]=> \sqrt{3} (9 - 4) + \sqrt{5} (1 + 2)[/tex]
[tex]=> 5\sqrt{3} + 3\sqrt{5}[/tex]
b) [tex]10\sqrt{2} + 4\sqrt{7} - 6\sqrt{2}[/tex]
Taking √2 common ,
[tex]=> \sqrt{2} (10-6) + 4\sqrt{7}[/tex]
[tex]=> 4\sqrt{2} + 4\sqrt{7}[/tex]
Taking 4 common ,
[tex]=> 4(\sqrt{2} + \sqrt{7})[/tex]
Which of these triangles appears notto be congruent to any others shown
here? Check all that apply.
A. Triangle A
B. Triangle B
C. Triangle C
D. Triangle D
E. Triangle E
F. Triangle F
Looking at the problem what’s the difference between the two highlighted please I’m Russian and don’t understand English every well
Answer: Разница между ними восемь
Step-by-step explanation:
help im confused!! i need to find the x
please help me please will give brainliest to
Answer:
D) (1, -1)
Step-by-step explanation:
point G corresponds with point L
the coordinates of pt G are (2, -2) so take 1/2 of each to get (1, -1)
Can someone help me on 2/3-3/8 show work
Answer:
It is 7/24
Step-by-step explanation:
So first you want a common denominator so we have to find the least common multiple of 3 and 8, which is 24.
Next you have to multiply the same to the numerator, I usually go by the phrase whatever you do to the bottom you do to the top. So 8 times 2 is 16 and 3 times 3 is nine.
Everything changed should be 16/24-9/24
then we do 16-9 is 7 and you never subtract the denominators so 2/3-3/8 is 7/24
Mike created a cone that has a diameter of 8 feet and a height of 3 feet. Find the volume of this cone.
Answer:
V= 50.27
Step-by-step explanation:
V=(3.14)4^2(3/3)
50.27
The volume of the cone created by mike with diameter of 3 feet is 50.24 feet³
Volume of cone-based problem:What information do we have?
Diameter of cone = 8 feet
Height of cone = 3 feet
Radius of cone = 8 / 2
Radius of cone = 4 feet
Volume of cone = (1/3)(π)(r²)(h)
Volume of cone = (1/3)(3.14)(4²)(3)
Volume of cone = (1/3)(3.14)(16)(3)
Volume of cone = 50.24 feet³
Find out more information about 'Cone'.
https://brainly.com/question/16394302?referrer=searchResults
5(-1x+5)=10 pls help
Answer:
-5x+5=10
-5x=10-5
-5x=5
x=-5/5
x=-1
how do i solve this question?
Answer:
[tex]x = 18[/tex]
[tex]y = 6\sqrt{3}[/tex]
Step-by-step explanation:
Trigonometric Ratios
The ratios of the sides of a right triangle are called trigonometric ratios. The longest side of a right triangle is called the hypotenuse and the other two sides are called the legs.
Selecting any of the acute angles as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides as follows:
Cosine Ratio
[tex]\displaystyle \cos\theta=\frac{\text{adjacent leg}}{\text{hypotenuse}}[/tex]
Sine Ratio
[tex]\displaystyle \sin\theta=\frac{\text{opposite leg}}{\text{hypotenuse}}[/tex]
Consider the angle of θ=30°, then we can write:
[tex]\displaystyle \cos 30^\circ=\frac{x}{12\sqrt{3}}[/tex]
Solving for x:
[tex]x=12\sqrt{3}\cos 30^\circ[/tex]
Since:
[tex]\cos 30^\circ=\frac{\sqrt{3}}{2}[/tex]
Then:
[tex]x=12\sqrt{3}\cdot \frac{\sqrt{3}}{2}[/tex]
[tex]x = 18[/tex]
Now apply the sine:
[tex]\displaystyle \sin 30^\circ=\frac{y}{12\sqrt{3}}[/tex]
Solving for y:
[tex]y=12\sqrt{3}\sin 30^\circ[/tex]
Since:
[tex]\sin 30^\circ=\frac{1}{2}[/tex]
Then:
[tex]y=12\sqrt{3}\cdot \frac{1}{2}[/tex]
[tex]y = 6\sqrt{3}[/tex]
Answer:
[tex]x = 18[/tex]
[tex]y = 6\sqrt{3}[/tex]
please help I'll give brainliest
Alice is going to invest some money for 5 years.
She can choose from two options:
Investment A: 2.7% compound interest per annum
Investment B: 2.8% simple interest per annum
Which investment should Alice choose
Answer:
Option AStep-by-step explanation:
Let the amount be P
Compound interest:
P*(1 + 0.027)^5 = P*1.1425 roundedSimple interest:
P*(1 + 0.028*5) = P*1.14Alice should choose compound interest, Option A