Answer:
3/8
Step-by-step explanation:
Let us represent the total fabric as an integer = 1
Ellen divides a piece of fabric into 8 equal sections by drawing chalk lines.
= 1/8, hence each section = 1/8
Then she cuts off 5 of the sections to make into placemats.
This is written as: 5 sections × 1/8 = 5/8
The fraction of the fabric that is left is calculated as:
1 - 5/8
Lowest Common Denominator = 8
Hence: 8 - 5/8 = 3/8
The fraction of the fabric that is left is 3/8
A circle is shown. Chords A C and B D intersect at point E. The length of A E is x, the length of E C is x + 12, the length of B E is x + 2, and the length of E D is x + 5. BE is 2 units longer than AE, DE is 5 units longer than AE, and CE is 12 units longer than AE
Complete Question:
A circle is shown. Chords A C and B D intersect at point E. The length of A E is x, the length of E C is x + 12, the length of B E is x + 2, and the length of E D is x + 5. BE is 2 units longer than AE, DE is 5 units longer than AE, and CE is 12 units longer than AE. What is BD?
*The circle is attached below in the attachment
Answer:
BD = 11
Step-by-step explanation:
Given:
AE = x
EC = x + 12
BE = x + 2
ED = x + 5
Required:
Length of BD
Solution:
First, create an equation to find the value of (x + 2)(x + 5) = (x)(x + 12) => intersecting chords theorem
x(x + 5) + 2(x + 5) = x(x + 12)
x² + 5x + 2x + 10 = x² + 12x
Add like terms
x² + 7x + 10 = x² + 12x
Subtract x² from each side
x² + 7x + 10 - x² = x² + 12x - x²
7x + 10 = 12x
10 = 12x - 7x
10 = 5x
10/5 = 5x/5
2 = x
x = 2
Next, find BD:
BD = BE + ED
BD = x + 2 + x + 5
Add like terms
BD = 2x + 7
Plug in the value of x
BD = 2(2) + 7
BD = 4 + 7
BD = 11
Answer:
What is BD?
11 units
Step-by-step explanation:
La fórmula correcta para encontrar el valor del coseno de un ángulo agudo en un triángulo rectángulo dado es:
Answer:
El coseno del ángulo esta dado por:
[tex]cos(\theta)=\frac{CA}{H}[/tex]
Step-by-step explanation:
Si tenemos un triángulo recatángulo, el coseno del ángulo está dado por:
[tex]cos(\theta)=\frac{CA}{H}[/tex]
Donde:
CA es el cateto adyacenteH es la hipotenusa del triánguloEspero te haya sido de ayuda!
find the slope of the line passing through the points using the slope formula
(5, 0), (2, 4)
The slope formula is m= y2-y1/x2-x1.
m= 4-0/2-5
m=4/-3
Therefore, 4/-3 is the slope.
Answer:
The first option, incase something happens to the president, they’re next in line.
Step-by-step explanation:
the measures of the angles of a triangle are shown in the figure. solve for x
Answer:
X=57.
Step-by-step explanation:
Every triangle equals 180 degrees. First you add 33 and 90 (the little box in the corner is equal to 90 degrees) which gets you to 123, then subtract from 180 (since every triangle is equal to 180), then you get 57.
9. Here are two expressions with a missing number: Expression 1: • Expression 2: + 4 Choose the same number to put in both blanks, so that both expressions would result in an irrational answer. You can choose your number from the following list: 3.2, , , and 0.232323... Explain your reasoning. (4 points: 2 points for the answer and 2 points for the explanation)
Toula has just baked a cake in the shape of a rectangle. She
wants to divide the cake into two right-angled triangles by
cutting along a diagonal of the cake. Toula is then going to place
a cake ribbon around the outside of each of the two triangular
pieces of cake. If the length of the cake is 32 cm and its width is
24 cm, how much cake ribbon will she need to buy, giving your
answer to an appropriate accuracy.
Answer:
192 cm
Step-by-step explanation:
length of the ribbon needed = perimeter of right angled triangle x 2
to determine perimeter, the value of the hypotenuse needs to be known
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
32² + 24²
= 1024 + 576
= 1600
square root = 40
length of rope = 2 x (40 + 32 + 24) = 192
A square coffee shop has a perimeter of 20 meters. How long is each side of the coffee shop?
Answer:
5 Meters
Step-by-step explanation:
Perimiter of a square would be P/4
So we take 20 and divide it by four.
We would get 5 as a result so each side is 5 meters.
Hope this helps.
Classify the following angles
--Answer--
1. acute
2. right
3. acute
4. obtuse
5. straight
--Explanation--
Acute angle = Greater than 0 °, Less than 90°
Right angle = 90°
Obtuse angle = Greater than 90°, less than 180°
Straight angle = 180°
Answer:
A) Acute B) Right C) Obtuse D) Obtuse E) Flat/Straight
Step-by-step explanation:
Acute angles are angles less than 90°
Right angles are angles that are 90°
Obtuse angles are angles that are over than 90°
Flat/Straight angles are 180°
Question in attachment. Will give brainliest if correct.
Answer:
x= 50
Step-by-step explanation:
The angles of a triangle adds up to 180
First we can see R, S, O is equal to S, R, O
We can also see that the angles are equal to N, O, S
So R, S, O and S, R, O are both 65 degrees
Add 65 + 65
= 130
180 - 130 = 50
x= 50
pls help me..... the question is in the attachment.... thank you
Answer:
I added some attachments as well, I hoped I helped.
what’s the difference between the area of the larger circle and the area of the smaller circle? in pi
Answer:
105 pi m^2
Step-by-step explanation:
radius squared - radius squared =
(16+3)^2 - 16^2 =
19^2 - 16^2 =
361-256= 105
10. Use the vertical line test to determine if the graph below
represents a function. If it is not a function, tell where the
vertical line test fails.
The graph is a function. When drawing a vertical line, there will be two circumstances:
The line intersects only one point on a graph. The line intersects more than one point on a graph ( POI > 1 )For the first circumstance, the graph that has only one intersect with a line - it is a function. For the second circumstance, the graph cannot be a function as it gives more than one y-value for a single x-value.
The conclusion is that if a line only has one intersect on a graph then it is a function. Otherwise, not a function but a relation instead. All functions are relations, but not all relations can be functions.
Answer
The graph passes the vertical line test and is a function.5 out of every 11 children in a school are girls. What is the ratio of girls to boys in the school?
Many firms use on-the-job training to teach their employees computer programming. Suppose you work in the personnel department of a firm that just finished training a group of its employees to program, and you have been requested to review the performance of one of the trainees on the final test that was given to all trainees. The mean and standard deviation of the test scores are 72 and 5, respectively, and the distribution of scores is bell-shaped and symmetric. Suppose the trainee in question received a score of 68. Compute the trainee's z-score.
Answer:
-0.8
Step-by-step explanation:
Given that :
Mean of test score, m = 72
Standard deviation of test score, σ = 5
Trainee's score, x = 68
Since the distribution is Symmetric ;
The Zscore Cann be calculated thus :
Zscore = (x - mean) / standard deviation
Zscore = (68 - 72) / 5
Zscore = - 4 / 5
Zscore = - 0.8
Angelo cuts a piece of wood for a project. The first cut is shown and can be represented by the equation y = 1/5x-1. The second cut needs to be parallel to the first. It will pass through the point (0,6). Identify the equation that represents Angelo's second cut. 10 -10 10 --10 O A. y = -5x-6 B. y = 5x + 6 C. y = 5x + 6 O D. y - 18 x - 6
Answer:
y = 1/5x + 6
Step-by-step explanation:
If the second cut is parallel to the first, it will have the same slope.
So, it will have a slope of 1/5.
Plug in the slope and given point into y = mx + b, and solve for b:
y = mx + b
6 = 1/5(0) + b
6 = b
Plug in the slope and b into y = mx + b:
y = mx + b
y = 1/5x + 6
So, the equation of the second cut is y = 1/5x + 6
(a+b)^2*(a-b)
please answer me fast
Answer:
a^3b + 2a^2b^2 + ab^3
Step-by-step explanation:
(a+b)^2
= a^2 + 2ab + b^2
ab(a^2 + 2ab + b^2)
= a^3b + 2a^2b^2 + ab^3
5x^2-9x+4=0 zero product property
Answer: x = 1, 4/5
Step-by-step explanation:
I just factored this out
(x-1)(5x-4)= 0
x = 1, 4/5
Có bao nhiêu giá trị nguyên của tham số m để phương trình 4^x +4^-x = 2^ (x+1) – 2^(1-x) +4-m có nghiệm trên đoạn [0;1]
Answer:
m = 2
m = 2,75
Step-by-step explanation:
Được-
Phương trình =
4 ^ x + 4 ^ -x = 2 ^ (x + 1) - 2 ^ (1-x) + 4-m
Thay các giá trị của x = 0 vào phương trình đã cho ta được
4 ^ 0 + 4 ^ -0 = 2 ^ (0 + 1) - 2 ^ (1-0) + 4-m
1 +1 = 2 -2 + 4-m
m = 4-2 = 2
Thay các giá trị của x = 1 vào phương trình đã cho ta được
4 ^ 1 + 4 ^ -1 = 2 ^ (1 + 1) - 2 ^ (1-1) + 4-m
4 + 0,25 = 4 - 1 + 4 -m
m = 7-4,25 = 2,75
đa thức p (x) = 2x ^ 3 - 3x ^ 2 + qx +56 có nhân tử là x-2 a) chứng tỏ q = -30? b) thừa số p (x) hoàn toàn và do đó xác định tất cả các nghiệm của p (x) = 0
9. Is the relation shown in the table a
function?
х
1
4
5
10
y
2
-1
-6
-1
Answer:
obvious answer, no
Step-by-step explanation:
specific and scientific answer:
the first input 1 equals 2, which could mean both +1 or times 2
but when there is input of 4 and an out-put of -1, it starts to not make sense
basically the first input is always going to be your control group for science experiments or the one that stays the same and judges
What is the value of x? Round your answer to the nearest Whole number
X
A 10
C 17
B 1
D 13
Answer:
B
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
x² + 9² = 15²
x² + 81 = 225 ( subtract 81 from both sides )
x² = 144 ( take the square root of both sides )
x = [tex]\sqrt{144}[/tex] = 12 → B
Betty and Billy are selling cookies at the school bake sale. Billy sold twice as many cookies as Betty. Together, they sold 15 cookies at the bake sale. Could Betty have sold 3 cookies
No Betty would have sold at least 5 cookies.
We know that 2/3 of 15 is 10 and that 5 also happens to be half of this number.
It adds up to 15 all while the number of cookies sold by Billy is still twice a much as the cookies sold by Betty. Therefore Betty would have had to sell at least 5 cookies.
stuck on this its super hard
1. Convert the quinary number 42 into binary number.
Answer:
42 in binary number is 101010.
hhhhhhhhhhhhhhhhhhhhhhh
Answer:
for the triangle on top on side is 8 one side is 4 so if we use the theorem
64+16=80
a=9
so
Side a = 19.8242
Side b = 17.66349
Side c = 9
Angle ∠A = 90° = 1.5708 rad = π/2
Angle ∠B = 63° = 1.09956 rad = 7/20π
Angle ∠C = 27° = 0.47124 rad = 3/20π
Area = 79.48573
Perimeter p = 46.4877
Semiperimeter s = 23.24385
Multiply the polynomials.
(x + 2)(2x2 + 9x+8)
A. 2x3 + 13x2 – 26x+ 16
B. 16x3 + 72x2 + 46x - 16
C. 2x3 + 17x + 22x+16
D. 2x3 + 13x2 + 26x+ 16
Answer:
2x^3 + 13x^2 + 26x + 16
Step-by-step explanation:
x(2x^2 + 9x + 8) +2(2x^2 + 9x + 8)
2x^3 + 9x^2 + 8x + 4x^2 + 18x + 16
2x^3 + 13x^2 + 26x + 16
HOPE IT'S HELPFULHow much would $600 be worth after 10 years, if it were invested at 4% interest compounded continuously? (Use the formula below and round your answer to the nearest cent.) A(t) = P▪︎e^rt
Answer:
600[tex]e^{10*.04}[/tex]
$895.09
Step-by-step explanation:
Circle o has diameter AB and chord AC. Calculate the measure of 2 CAB if BC = 62".
D
Use the picture above to determine why the work below received a 2/3. (hint: there are 2 mistakes)
V = TTr2h
V = TT(32)10
V = TT(6)(10)
V = 60TT square feet
Answer:
3^2 is not 6, it is 9 so that would have made your final answer wrong. It was supposed to be 90 not 60
can I please can some help on this question
Answer: The answer be 87 for both answer's
Step-by-step explanation:
because, {B-3=90} and, 0.< a < 90. and I calculated and got 87 for both questions ( I hope it correct!)