The total length of the steel used in the frame is 270 cm, if the decorative steel up of 6 stems and each stem is 45 cm.
Step-by-step explanation:
The given is,
Decorative steel made from circular circle of 6 stems
The length of the stem is 45 cm
Step:1
We need to find the total length of the steel used in the decorative steel,
Let, T - Total length of the steel
L - Length of the stem
n - Number of stems used in steel frame
Step:2
Formula to find the total length of the steel is,
[tex]T=[/tex] [tex]l[/tex] × [tex]n[/tex]
From given,
[tex]l[/tex] = 45 cm
[tex]n[/tex] = 6 stems
Substitute the values in formula,
[tex]T =[/tex] ( 45 × 6 )
= 270
[tex]T =[/tex] 270 cm
Result:
The total length of the steel used in the frame is 270 cm.
The total length of steel used in the decorative steel frame, made with 6 stems of 45cm each, is 270cm.
Explanation:To solve this question, we simply need to multiply the length of each stem by the number of stems used in the decorative steel. As stated, each stem measures 45cm, and there are 6 stems used in total.
Therefore, the total length of steel used in the frame would be calculated as follows:
Determine the length of an individual stem: 45cmDetermine the total number of stems: 6Multiply these two figures together: 45cm * 6 = 270cmSo, the total length of steel used in the frame is 270cm.
Learn more about Multiplication here:https://brainly.com/question/5992872
#SPJ12
what is the coefficient for x2 -5x+6
The coefficient for x² in the equation x² - 5x + 6 is 1, as it is the implied coefficient when no numerical coefficient is written before a term in a polynomial.
Explanation:The coefficient for x2 in the polynomial equation x2 - 5x + 6 is implied to be 1. When a term in a polynomial has no numerical coefficient written, it is understood that the coefficient is 1. In any polynomial equation of the form ax2 + bx + c = 0, the coefficient of x2 is represented by a. In the given expression, since there is no number in front of x2, a is 1. Therefore, the coefficient of x2 in the equation x2 - 5x + 6 is 1.
If the radius of a circle is 15 units and the center
of the circle is (−3, 2), what is the equation of
the circle?
A. (x − 2)2 + (y + 3)2 = 30
B. (x + 2)2 + (y − 3)2 = 225
C. (x + 3)2 + (y − 2)2 = 225
D. (x − 3)2 + (y + 2)2 = 15
HELP ME PLEASE
Answer:
(x+3)^2 + (y-2) ^2 = 225
Step-by-step explanation:
We can write the equation of a circle in the form
(x-h)^2 + (y-k)^2 = r^2
where (h,k) is the center and r is the radius
(x- -3)^2 + (y-2) ^2 = 15^2
(x+3)^2 + (y-2) ^2 = 225
Please look at the image , they all need to be factored using DOTS moi
Hope this will help u....:)
Look at the attached picture ⤴⤴
Sketch the graph of the inequality.
Answer: D. Check Desmos for confirmation. Its your best friend for Graphing.
Step-by-step explanation:
-3 x f(-8) +7 x g(2)
The composite function -3 x f(-8) +7 x g(2) has a value of 53
How to evaluate the composite function
From the question, we have the following parameters that can be used in our computation:
f(x) = 2x + 3 and g(x) = x
Calculating f(-8) and g(2), we have
f(-8) = 2 * -8 + 3 and g(2) = 2
Evaluate
f(-8) = -13 and g(2) = 2
Using the above as a guide, we have the following:
-3 x f(-8) +7 x g(2) = -3 * -13 + 7 * 2
Evaluate
-3 x f(-8) +7 x g(2) = 53
Hence, the composite function has a value of 53
Question
Evaluate the expression -3 x f(-8) +7 x g(2) if f(x) = 2x + 3 and g(x) = x
In ΔDEF, the measure of ∠F=90°, ED = 65, FE = 56, and DF = 33. What is the value of the cosine of ∠D to the nearest hundredth?
Answer:
[tex]cos(D)=0.51[/tex]
[tex]m\angle D=59.49^o[/tex]
Step-by-step explanation:
we know that
In the right triangle DEF
[tex]cos(D)=\frac{DF}{ED}[/tex] ---> by CAH (adjacent side divided by the hypotenuse)
substitute the given values
[tex]cos(D)=\frac{33}{65}=0.51[/tex]
using a calculator
[tex]m\angle D=cos^{-1}(\frac{33}{65})=59.49^o[/tex]
To find the value of the cosine of angle ∠D in triangle ΔDEF, use the cosine formula with the given side lengths which is 59.49 degrees.
Explanation:In the given triangle ΔDEF, the measure of angle ∠F is 90°. We are given the lengths of the sides DF, FE, and ED as 33, 56, and 65 units respectively. To find the value of the cosine of angle ∠D, we need to use the cosine formula:
cos(D) = (DF2 + DE2 - EF2) / (2 * DF * DE)
Substituting the known values, we have:
cos(D) = (332 + 652 - 562) / (2 * 33 * 65)
= 59.49
Simplifying this expression gives us the value of the cosine of angle ∠D.
Learn more about Cosine of an angle here:https://brainly.com/question/29114352
#SPJ3
What is 10b +19 when b= -2
Answer:
-1 i hope this helps! :)
Step-by-step explanation:
you are given both 10b + 19 and b = -2
lets plug in the value of b
10b(-2) + 19
multiply the 10b and the -2
-20b + 19
-20 + 19 = -1
-1
What is the probability of spinning the spinner and the arrow landing on the number ‘1’ and then spinning it a second time and it landing on ‘2’ the second time?
Answer:
There isn't a picture, but i'm guessing they are on opposite ends. If so, it would be 50-50.
Step-by-step explanation:
no picture;;
Answer:
50-50
Step-by-step explanation:
-9x-6y=12 what’s there slope and y intercept
Answer: slope = -3/2
Y intercept = -2
Step-by-step explanation:
All I need is the answer please
Answer:
80 dollar tip
Step-by-step explanation:
16 percent of 500=80
Answer: That would be $580.
Step-by-step explanation: The tip is equal to $80 itself self you add the original amount ($500) to the tip (16%=$80) the total will be $580.
Describe two different ways to write 7/3 as a mixed number.
A graph titled Arnie's Airplane has time (minutes) on the x-axis and distance (miles) on the y-axis. A line goes through points (0, 0) and (2, 10). A 2-column table with 3 rows titled Bernie's Biplane. Column 1 is labeled Time (minutes) x with entries 3, 5, 8. Column 2 is labeled Distance (miles) y with entries 21, 35, 56.
Find each slope from the graph and table to compare the constant speeds of the two airplanes.
What is the constant speed (slope) of Arnie’s airplane?
What is the constant speed (slope) of Bernie’s biplane?
Who flew faster?
Answer:
its 5 7 bernie
Step-by-step explanatioi just did it
Answer:
5, 7, bernie
Step-by-step explanation:
I got it right
Can someone personally help me with geometry and area? Please I have more questions like that
Answer:
272
Step-by-step explanation:
Finding the area on this problem has only a couple steps. First I divided the picture into two parts a rectangle and a triangle. I first found the area of the rectangle. The formula to finding a rectangle is base times height. In this case the base has a length of 19 in and has a height of 8 in. So the area of the rectangle would be 19*8= 152. Now we find the area of the triangle. To find the area of a triangle you use the formula base*height*1/2. In this case you do 20 * 12 * 1/2 = 120. Now for the last step add the areas together in this case 152+120=272. If you need help with finding the lengths reach out to me.p.s. I’m not actually 61Answer:
The area of the shaded region is 272 in²
Step-by-step explanation:
Since it is an odd shape, the real height(20 inches according to the picture) will help us alot. But first you'll want to split the shapes. and find the areas seperately in a way. I see a rectangle on the top and triangle on the bottom. Lets find the area of the rectangle first.
To find the area, you have to multiply length and width.
A = L x W
19 x 8 = 152(the area)
So now we know the area of the rectangle, but what about the triangle? Since there is no exact base measurement for the triangle, we will add the length of the rectangle(19) and the 1 inch.
19 + 1 = 20
So the base for the triangle is 20.
To find the height of the triangle, subtract 8(the rectangle's width) from the overall height(20 inches).
20 - 8 = 12
A = [tex]h_{b}[/tex]b ÷ 2
A= 120(area)
That is not the overall area yet, we have to add the two areas now.
152 + 120 = 272
That is how you find the area for this, let me know if you need anymore help.
15. Sense or Nonsense
cense or Nonsense? Sam and Dave each solve the problem at
e right. Sam says the sum is 4 feet 18 inches. Dave says the sum
e 5 feet 6 inches. Whose answer makes sense? Whose answer is
nonsense? Explain.
Says shouldn’t Say 18 inches because that is 1 ft 6 inches
A basket contains apples and oranges in the ratio of 4:1. How many apples are there if the total amount of fruits is 40?
Answer:32
Step-by-step explanation:
u fist find the total ratio 4+1 =5then the ratio belonging to apple is four
so u divide 4 by 5 then multiply to the total no of fruit
and that will give u 32
A ratio shows us the number of times a number contains another number. The number of apples in the basket is 32.
What is a Ratio?A ratio shows us the number of times a number contains another number.
Let the number of apples and oranges in the basket be represented by 4x and x respectively.
Given the total number of fruits in the basket is 40. Therefore, the sum of the number of fruits can be written as,
[tex]4x+x=40\\5x=40\\x=8[/tex]
The number of apples = 4x = 4(8) = 32
Hence, the number of apples in the basket is 32.
Learn more about Ratios:
https://brainly.com/question/1504221
#SPJ2
How many unique triangles can be drawn with given side lengths of 8 inches, 10.3 inches, and 13 inches?
Answer:
1
Step-by-step explanation:
Three side lengths uniquely specify one triangle.
__
Additional comment
All triangles formed with the same three specific side lengths are considered to be congruent. However, the sides can be arranged smallest-to-largest in CW or CCW order. If the triangle is scalene, the different ordering will result in congruent triangles that will not overlay one another.
Only one unique triangle can be formed
Triangle
A triangle is a three-sided polygon with three vertices and three edges. It is a fundamental geometric shape.
How many unique triangle with given side lengths of 8 inches, 10.3 inches, and 13 inches?
only one unique triangle can be formed with sides length of 8 inches, 10.3 inches, and 13 inches
Learn more about triangle here- https://brainly.com/question/17893810
#SPJ2
how many ounces of a 12 alcohol solution must be mixed with 6 ounces of a 20% alcohol solution to make a 16% alcohol solution?
Answer:
6 ounces
Step-by-step explanation:
So set your equation up as
12(x)+20(6)=16(x+6)
You set it up this way because with the first number you know the percet but not the ounces so your ounces would be x. The second set you know percet and ounces (the percent will alway go outside the parenthesis). then the last number is waht it wil equal; again we know the percent but not the product. We put x+6 in the parenthesis because you are adding the ounces your don't know(x) wiht the ones you do (6).
To solve distribute
12x+120=16x+96
Now all you have to do is solve for x. Subtract the 96 over then subtract the 12x over, so it would look like this.
12x+120=16x+96
-96 -96
12x+24=16x
-12x -12x
24=4x Now simply divide by 4 and you get 6=x
There should be 6 ounces mixed in order to get the required solution.
Let the number of ounces be represented by x.
Based on the equation, the equation to use will be:
12(x) + 20(6) = 16(x + 6)
Expand the equation
12x + 120 = 16x + 96
Collect like terms
16x - 12x = 120 - 96
4x = 24
Divide both side by 4
4x/4 = 24/4
x = 6
Therefore, the number of ounces will be 6 ounces.
Read related link on:
https://brainly.com/question/15490594
find the measure of angle b
Answer:
36 degrees
Step-by-step explanation:
Use the quadratic formula to determine the solutions to the quadratic equation. Write your answers as decimals, and round to the nearest hundredth (2 decimal spots).
6x2+4x−3=0
Answer:
x1 = 0.45 and x2 = -1.12
Step-by-step explanation:
To solve the equation 6x2+4x−3=0 using the quadratic formula, we use the following equation:
x = [-b ± √(b2 - 4ac)] / 2a
Where a, b and c are coefficients of the quadratic equantion (in our case, a = 6, b = 4 and c = -3)
So we have that:
x1 = [-4 + √(16 + 72)] / 12 = (-4 + 9.3808) / 12 = 0.4484
x2 = [-4 - √(16 + 72)] / 12 = (-4 - 9.3808) / 12 = -1.1151
Rounding to nearest hundredth, we have x1 = 0.45 and x2 = -1.12
The radius of a circle is 2.7 feet. Find the diameter
Answer:
5.4 ft.
Step-by-step explanation:
Radius is half of the diameter, so multiply 2.7 by 2 to get the full distance, and you get 5.4 ft.
Answer:5.4
Step-by-step explanation: 2.7x2= 5.4
Radius is just half of the diameter so when given radius X2 when given diameter divide by 2
Simplify the expression below.
(6-3)(66)
Answer:
198
Step-by-step explanation:
(6-3) x 66 subtract
3x66 multiply
198
if p is 2% of k. What is 50% of k intems of P and k and if 10% of a number is 7. What is 80% of the number?
Answer:
a.p/100
b.56
Step-by-step explanation:
2% of p=k
2/100 ×p=k
2p/100=k
Cross multiply 2p=100k
P=100k/2
p=50k
Let's make k the subject of formula
k=p/50
So 50% of k in terms of p
50/100×k
And k=p/50
So let's substitute
50/100×p/50
P/100
Therefore 50%of k=p/100
Let the unknown number be x
10% of x is 7
10/100×x=7
10x/100=7
Cross multiply
10x=(100)(7)
10x=700
Divide both sides by 10
X=70
So 80% of 70
80/100×70
5600/100
=56
Therefore 80% of 70=56
If a spacecraft was parked on Venus and needed to make a flight to Jupiter, how far would it need to travel? (Assume both planets are aligned with the sun and are on the same side of the sun.) in scientific notation.
Answer:
1.08 ⋅ 10 ^8 km
Step-by-step explanation:
2/3 × 6 + 2/3 × n for n = 2
Answer:
16/3 or 5 1/3
Step-by-step explanation:
Plugging in 2 for n, you get(2/3*6)+(2/3*2)=4+4/3=16/3= 5 1/3. Hope this helps!
with process Plz！！Thank you very much
Step-by-step explanation:
In circle with centre O.
[tex]OA \cong OB.. (Radii\: of \:same \:circle) \\
\therefore m\angle OAB = m\angle OBA =28°\\
(m \angle 's \:opposite \:to \:congruent \:sides \:\\are \:equal) [/tex]
[tex] m \angle AOB = 180°-(m\angle OAB + m\angle OBA)\\
\therefore\: m \angle AOB = 180°-(28° + 28°)\\
\therefore\: m \angle AOB = 180°-56°\\
\therefore\: m \angle AOB = 124°\\
m \angle ACB = \frac{1}{2} \times m \angle AOB[/tex]
[tex](m\angle\: formed\: on\: the \:circle \:\\is\: half\: the\:\angle\: formed\: at\: the \:center\: \\of \:the \:circle)[/tex]
[tex] \therefore\: m \angle ACB = \frac{1}{2} \times 124°\\
\therefore\: m \angle ACB = 62°\\[/tex]
Anna maria read 40 pages in 60 minutes. What is her unit rate in pages per minute?
Answer:
1.5 pages per minute.
Step-by-step explanation:
Answer:
Anna Maria reads 0.66 (2/3) page per minute
Step-by-step explanation:
Unit rate (speed)=distance/time, so you would divide 40 by 60. that simplifies to 2/3, or .66
A soccer ball has a 35 cm diameter. what is the volume of the contents of the ?
Answer:
To calculate the volume of a sphere, use the formula v = ⁴⁄₃πr³, where r is the radius of the sphere. If you don't have the radius, you can find it by dividing the diameter by 2. Once you have the radius, plug it into the formula and solve to find the volume.
Step-by-step explanation:
To find the volume of a soccer ball,the formula is V=4/3 πr^3,where r is the radius and π=3.14. A regulation soccer ball has a radius of 35cm. find the volume of a soccer ball to the nearest cubic centimeter. This is just some to keep in mind.
Write two polynomials with a difference of 2x2 + x + 3
Answer:
The two polynomial CAN be [tex]5x^4+5x^3+8x^2+x+6[/tex] and [tex]5x^4+5x^3+8x^2+2x+13[/tex].
Step-by-step explanation:
Step 1: Simplify the expression:
[tex]2*2 + x + 3[/tex]
[tex]4+x+3[/tex]
[tex]x+7[/tex]
Step 2: Think of a random polynomial:
[tex]5x^4+5x^3+8x^2+x+6[/tex]
Step 3: Either add your "random polynomial" by [tex]x+7[/tex] or subtract it.
I want to add it so...
[tex]5x^4+5x^3+8x^2+x+6+x+7[/tex]
= [tex]5x^4+5x^3+8x^2+2x+13[/tex]
Check by subtracting [tex]5x^4+5x^3+8x^2+x+6[/tex] and [tex]5x^4+5x^3+8x^2+2x+13[/tex].
[tex]5x^4+5x^3+8x^2+2x+13[/tex]
- [tex]5x^4+5x^3+8x^2+x+6[/tex]
_____________________
[tex]0x^4 - 0x^3 -0x^2 +x +7[/tex] or [tex]x+7[/tex]
Which are examples of Pythagorean Triples
A) 6, 8, 10
B) 8, 10, 12
C) 10, 16, 16
D) 12, 16, 20
E) 14, 18, 20
F) 15, 20, 25
check all the above !!
Answer:
It should be
A
F
D
Step-by-step explanation:
Just do A^2+B^2=C^2 and plug in what the three given numbers are, if A^2+B^2=C^2 and it comes out as correct meaning the sum of A and B is equal to C than boom you have a triple
Answer would be option(A){6, 8, 10}, (D) {12, 16, 20} and (F) {15, 20, 25} are examples of Pythagorean Triples
What is Pythagoras theorem?
Pythagoras theorem states that, a right-angled triangle, the square of the one side is equal to the sum of the squares of the other two sides.
{6, 8, 10}, {12, 16, 20} and {15, 20, 25} is the three Pythagorean Triples where any 2 side the sum of the squares adds up to be equal the other side.
We can test this:
6²+ 8² = 10² ⇒ 100=100
12²+16²= 20² ⇒ 400=400
15²+ 20²= 25²⇒ 625=625
Hence, {6, 8, 10}, {12, 16, 20} and {15, 20, 25} is the three Pythagorean Triples
Learn more about Pythagoras theorem here:
https://brainly.com/question/343682
#SPJ2
A circle with radius 3 has a sector with central angle 1/9 pi radians what is the area of the sector
Answer:
The area of the sector is [tex]\frac{\pi}{2}\ units^2[/tex]
Step-by-step explanation:
step 1
Find the area of complete circle
[tex]A=\pi r^2[/tex]
we have
[tex]r=3\ units[/tex]
substitute
[tex]A=\pi 3^2\\A=9\pi\ units^2[/tex]
step 2
Find the area of the sector
we know that
The area of complete circle subtends a central angle of 2π radians
so
using proportion
Find out the area of a sector by a central angle of 1/9 pi radians
[tex]\frac{9\pi}{2\pi}=\frac{x}{\frac{1}{9}\pi} \\\\x=9\pi(\frac{1}{9}\pi})/2\pi\\\\x=\frac{\pi}{2}\ units^2[/tex]