Answer:
Circumference of the circle to the nearest hundredth is, 69.08 cm
Step-by-step explanation:
Circumference(C) of the circle is given by:
[tex]C = 2\pi r[/tex] .....[1]
where,
r is the radius of the circle.
As per the statement:
middle of circle is 11 cm
⇒[tex]r = 11 cm[/tex]
use [tex]\pi = 3.14[/tex]
Substitute these in [1] we have;
[tex]C = 2 \cdot 3.14 \cdot 11 = 69.08 cm[/tex]
Therefore, the circumference of the circle to the nearest hundredth is, 69.08 cm
The circumference of a circle with a radius of 11cm is 69.08cm, rounded to the nearest hundredth.
To estimate the circumference of a circle using π (Pi), you need to know the diameter of the circle which is twice the radius. Since you've mentioned the circle has a middle (radius) of 11cm, the diameter is 22cm. The formula for the circumference of a circle is C = πd, where d is the diameter.
Using the given approximation of Pi (π = 3.14), you can calculate:
C = 3.14 × 22cm
C = 69.08cm
Therefore, the estimated circumference is 69.08cm, which can be rounded to the nearest hundredth as 69.08cm.
I need help ASAP ?!?!?!?!?!
Can someone please help me with this (its percent of change word problems)
A rectangular trampoline measures 15 meters by 18 meters. A pad of constant width is placed around the trampoline so that the total area is 340 square meters. What is the width of the pad? Enter your answer in the box.
Given is a rectangular trampoline with dimensions 15 meters by 18 meters.
A pad of uniform width is fixed about the boundary of trampoline such that total area becomes 340 square meters.
It says to find width of the pad that is placed around trampoline.
Let's assume the width of pad = 'x' meters.
Now Length of trampoline with pad would be, L = 2x + 15 meters.
And Width of trampoline with pad would be, W = 2x + 18 meters.
Given is the Total area = 340 square meters.
We know the formula for area of rectangle is given as follows :-
Area of Rectangle = Length x Width
⇒ 340 = (2x+15)·(2x+18)
⇒ 340 = 4x² + 66x + 270
⇒ 4x² + 66x + 270 - 340 = 0
⇒ 4x² + 66x - 70 = 0
⇒ 2x² + 33x - 35 = 0
⇒ 2x² + 35x - 2x - 35 = 0
⇒ x·(2x + 35) - 1·(2x + 35) = 0
⇒ (x - 1)·(2x + 35) = 0
⇒ (x - 1) = 0 or (2x + 35) = 0
x can't be negative number, so x = 1.
Hence, x = 1 meter is the width of the pad.
Answer:
The width of the pad is [tex]1\ m[/tex]
Step-by-step explanation:
Let
x----> the width of the pad
we know that
[tex](15+2x)(18+2x)=340[/tex]
Solve for x
[tex]270+30x+36x+4x^{2} =340\\ \\4x^{2}+66x-70=0[/tex]
Solve the quadratic equation by graphing
The solution is [tex]x=1\ m[/tex]
see the attached figure
Explain how you can find a fraction equivalent to 1/4
Use multiplication to find 2 equivalent fraction for 3/4 and 4/5
To find two equivalent fractions for 3/4 and 4/5 using multiplication, multiply both the numerator and denominator of each fraction by the same number.
Explanation:To find two equivalent fractions for 3/4 and 4/5 using multiplication, we can multiply both the numerator and denominator of each fraction by the same number. Let's choose 2 as the multiplying factor.
For 3/4, multiplying both numerator and denominator by 2 gives us: 6/8.
For 4/5, multiplying both numerator and denominator by 2 gives us: 8/10.
Learn more about Equivalent fractions here:https://brainly.com/question/23075364
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find the missing dimension. base: 27 cm and area: 256.5 cm sq
I really need help with these questions.. Even if you can only answer one anything helps! Will give points and mark for smartest
1. Evaluate the determinant for the following matrix:
Below is all in one Bracket
-4 -4 -3
3 3 -5
-5 2 -5
Answer Choices
A. –152
B. –203
C. 75
D. –263
2.
Complete the multiplication: AB.
All sets of numbers are within a bracket.
A = 3 0 B= 2 8
2 -1 6 3
A. 6 0
1.2 -3
B. 6 24
3.4 5
C. 22 -8
7.8 -3
D. 6 24
3.4 13
3. Is in the 1st Picture
4.Use Gauss-Jordan elimination to solve the following linear system:
–3x + 4y = –6
5x – y = 10
A. (–6,2)
B. (2,–5)
C. (2,2)
D. (2,0)
5. If you were to use Gauss-Jordan elimination on the following linear system, what would the augmented matrix be? [ you can refer to second picture for 4 multiple choice answers ]
3w − x = 2y + z − 4
9x − y + z = 10
4w + 3y − z = 7
12x + 17 = 2y − z + 6
6. Refer to 3rd photo
Judy Ring purchased a watch with a retail price of $8,000. She still has to pay a sales tax of 6% and an excise tax of 10%. Since the jeweler is shipping the watch, there's an additional $20 shipping charge. The total purchase price of this watch for Judy i
Answer: Total purchase price of this watch is $9300.
Step-by-step explanation:
Since we have given that
Retail price of watch = $8000
Rate of sales tax = 6%
Amount of sales tax becomes
[tex]\dfrac{6}{100}\times 8000\\\\=\$480[/tex]
Rate of excise tax = 10%
Amount of excise tax is given by
[tex]\dfrac{10}{100}\times 8000\\\\=\$800[/tex]
So, Amount of watch after sales tax becomes
[tex]\$8000+\$480+\$800\\\\=$9280[/tex]
Amount of additional shipping charge = $20
Amount of watch after additional shipping charge becomes
[tex]\$9280+20\\\\=\$9300[/tex]
Hence, Total purchase price of this watch is $9300.
the volume of a rectangle gift box is 98 cubic inches. the height is 4 inches and the width is 3 1/2 inches.what is the length of the gift box
Susan’s parents have offered to help her pay for a new computer. They will pay 30% and Susan will pay 70% of the cost of a new computer. Susan has saved $550 for a new computer. With her parents help, how expensive of a computer can she afford?
A study found that 9% of dog owners brush their dogs teeth. Of 578 dog owners, about how many would be expected to brush their dogs teeth? Explain. Please help I am confused
Final answer:
About 52 dog owners would be expected to brush their dog's teeth.
Explanation:
The question is asking to estimate the number of dog owners who brush their dogs' teeth based on the given percentage from a study. To calculate this, you would take the total number of dog owners and multiply it by the percentage that brush their dogs' teeth. In this case, there are 578 dog owners and 9% of them are expected to brush their dogs' teeth.
Here is the calculation:
Number of dog owners who brush their dogs' teeth = Total number of dog owners × Percentage of owners who brush teethNumber of dog owners who brush their dogs' teeth = 578 × 0.09Number of dog owners who brush their dogs' teeth ≈ 52Therefore, about 52 dog owners out of 578 are expected to brush their dogs' teeth.
Dilate (9, 6) using a scale factor of 1/3
To dilate the point (9, 6) using a scale factor of 1/3, multiply the x-coordinate and y-coordinate by the scale factor to find the new coordinates which are (3, 2).
Explanation:To dilate the point (9, 6) using a scale factor of 1/3, we can multiply the x-coordinate and y-coordinate of the point by the scale factor to find the new coordinates.
For the x-coordinate, we have (9) * (1/3) = 3.
For the y-coordinate, we have (6) * (1/3) = 2.
So the dilated point is (3, 2).
what is the volume of the right rectangular prism?
16in³
64in³
140in³
166in³
Suppose you start an annuity where you invent$2,000 at the beginning or each year and 4% interest is paid at the end of the year
6 is 75% of what number
Two lines intersect at a point, forming ∠1 , ∠2 , ∠3 , and ∠4 .
∠1 and ∠2 are supplementary angles.
∠2 and ∠4 are vertical angles.
m∠1=120°
What is the measure of ∠4 ?
30°
60°
90°
120°
suppose the side length of a square A is 10 inches and the area of square C is 162 inches squared what is the area of square B if the squares form a right triangle ?
Answer:
62
Step-by-step explanation:
My teacher told me
Need Help ASAP!!
Find the area of this parallelogram. Be sure to include the correct unit in your answer.
Factor the expression. d^2-14d+49
Find the area of each figure
y = 2x + 5
y= -x - 1
A triangle has interior angles measuring 40° and 52°.
Which triangles are similar to this triangle?
Select True or False for each triangle.
Triangle True or False for each
Triangle True False
1 triangle with interior angles measuring 52° and 92° t or f
2 triangle with interior angles measuring 40° and 92° t or f
3 triangle with interior angles measuring 52° and 88° t or f
4 triangle with interior angles measuring 40° and 88° t or f
Find the area for all three figures. Show work
Answer please——————————————-
Chloe is painting on a stretched canvas that has an area of 108 square inches. The length of the canvas is 12 inches. The width of the canvas is how many inches. Chloe paints a 1-inch-wide blue border on the canvas. The area left for painting after painting the border is how many square inches. I WILL GIVE BRAINLIEST!
:-)
Answer: Width of canvas = 9 inches
Area left for painting after painting the border = 70 square inches.
Explanation :
Since we have given that
Area of painting = 108 square inches
Length of canvas = 12 inches
As we know that
[tex]\text{Area of rectangle} = length\times breadth[/tex]
[tex]108=12\times breadth\\\\\frac{108}{12}=breadth\\\\9=breadth[/tex]
So, breadth of canvas = 9 inches .
Now, Chloe paints a 1 inch wide blue border on the canvas.
[tex]\text{So, remaining length left for painting after painting the border} = 9-1-1=9-2=7\text{ inches}[/tex]
[tex]\text{ Remaining breadth left for painting after painting the border }= 12-1-1=12-2= 10\text{ inches}[/tex]
[tex]\text{So , area of remaining portion }= length\times breadth \\\\ \text{ area of remaining portion }=7\times 10\\\\\text{ area of remaining portion }=70 \text{ square inches}[/tex]
Hence, remaining area = 70 square inches .
Answer:
9 and 70
Step-by-step explanation:
The width of the canvas is 9 inches. Chloe paints a 1-inch-wide blue border on the canvas. The area left for painting after painting the border is 70 square inches.
Given a circle with measures of (C, d, and r) and a circle with measures of (C', d', and r'), what is r if C C' = 5 and d' = 20?
Answer:
r = 50Step-by-step explanation:
We know that:
[tex]\frac{C}{C'}=5[/tex][tex]d'=20[/tex]So, the ratio between the circumferences is 4 and the diameter of the second circle is 20. In this case, we have to use the ratio between those two circumferences, because that's what is our given data.
[tex]\frac{C}{C'}=\frac{d}{d'}\\5=\frac{d}{20}\\ 100=d[/tex]
From this proportion, we deduct that the diameter of the initial circle is 100. Now, we know that the radius in a circumference is have the diameter. Therefore, the radius is:
[tex]r=\frac{d}{2}=\frac{100}{2}=50[/tex]
help me out due at 10
what is 3 groups of 1/8
triangle ABC undergoes a series of transformations to result in Triangle DF is triangle DEF congruent to triangle ABC
Since, translation and rotation both are rigid transformations which maps only congruent images. They do not change the size and shape of pre-image.
Thus, here ΔABC is congruent to ΔDEF.
Triangle ABC is reflected over x axis ,and then translated 6 units down to form triangle DEF.Since, translation and reflection both are rigid transformations which maps only congruent images. They do not change the size and shape of pre-image.
Thus, here ΔABC is congruent to ΔDEF.
Triangle ABC is rotated 180°, and then dilated by a scale factor of 3 to form triangle DEF.Here rotation is a rigid transformation which maps only congruent images but dilation is not a rigid transformation because it produces similar images for scale factor other than 1 (with scale factor 1 it also produce congruent images) .
Thus, here ΔABC is not congruent to ΔDEF.
The determination of congruency between Triangle DEF and Triangle ABC depends on the nature of the transformations applied to Triangle ABC. If these transformations are rigid motions, then Triangle DEF will be congruent to Triangle ABC.
Explanation:The question concerns whether Triangle DEF is congruent to Triangle ABC after undergoing a series of transformations. Congruent triangles are those that are identical in terms of size and shape, meaning their corresponding sides and angles are equal.
According to the given information, to determine congruency, we must consider the properties of the transformations involved. If the transformations applied to Triangle ABC are rigid motions (such as rotation, reflection, or translation), which do not alter the shape or size of figures, then Triangle DEF will be congruent to Triangle ABC. If however, the transformations include dilation or other non-rigid transformations that change the size but not the shape, Triangle DEF would not be congruent, although it could be similar to Triangle ABC.
Since the question provided involves linear transformations that transform lines into lines and take parallel lines to parallel lines, it is likely referring to rigid motions. Therefore, it suggests that Triangle DEF should be congruent to Triangle ABC, assuming that the series of transformations includes only those that preserve lengths and angles.