bAnswer: the answers is most likely a because of the nomination
Step-by-step explanation:
In the figure above the ratio of the area of WXZ to the area of WYZ is 7:2. If XY = 21, what is the length of segment WY?
[tex]{\color{red}{\huge{\underbrace{\overbrace{\mathfrak{\:\:\:\:\:\:\:꧁"Answer"꧂\:\:\: }}}}}}[/tex]
Because ∆XZW and WYZ is the same height and
Because ∆XZW and WYZ is the same height and the are of ∆WXZ to the the WYZ
[tex]so \:( \frac{1}{2}xw \times h)( \frac{1}{2} w)=7:2[/tex]
Because xy=21
[tex]so \: WY=2 \frac{1}{2}(7 + 2x2) \\ = 21 \frac{1}{2}p \times 2 \\ =\small\color{blue}{{{\boxed{\tt\red{} \:\:\:\:\:\:\:\:\:\: WY=\frac{14}{3}\:\:\:\: }}}}[/tex]
The length of the line segment WY is [tex]\frac{14}{3}[/tex] unit.
What is the area of triangle?The area of a triangle is defined as the total region that is enclosed by the three sides of any particular triangle.
What is the formula for the area of triangle?Area of triangle = (1/2)base × height
According to the given question.
The ratio of the area of triangle WXZ to the area of triangle WYZ is 7:2.
Since, the height WZ for both the triangles WXZ and WYZ is same.
Let, WZ = h
Therefore, the ratio of the area of the triangles is given by
[tex]\frac{\frac{1}{2}WX(h) }{\frac{1}{2}(WY)(h) } =\frac{7}{2}[/tex]
⇒ [tex]\frac{WX}{WY} =\frac{7}{2}[/tex]
⇒ [tex]WX = \frac{7}{2} WY..(i)[/tex]
Since, in the given figure
[tex]XY = WY + WX[/tex]
⇒ [tex]21 = WY + \frac{7}{2} WY[/tex] (from i)
⇒ [tex]21 = \frac{9}{2}WY[/tex]
⇒ [tex]WY = \frac{14}{3}[/tex]
Hence, the length of the line segment WY is [tex]\frac{14}{3}[/tex] unit.
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What is the solution to the system of equations below?
y = three-fourths x minus 12 and y = negative 4 x minus 31
Answer:
x,y = -4, -15
Step-by-step explanation:
4. Andrés desea embaldosar el piso de su casa que tiene 375 cm de ancho y 435 cm de largo. Calcula la longitud del lado que tendrían las baldosas. ¿Cuántas baldosas colocaría en total?
Answer:
Sabemos que el piso es un rectángulo de 435 cm de largo y 375 cm de ancho.
Recordar que para un rectángulo de largo L, y ancho W, el área es:
A = L*W
Entonces el área del piso, será:
A = 435cm*375cm = 163,125 cm^2
Primero, sabemos que se utilizaran baldosas (las cuales son cuadradas) y queremos saber la longitud de lado que tendrían las baldosas.
No tenemos ningún criterio para encontrar este lado, solo que (si queremos usar un número entero de baldosas) el largo L del lado de la baldosa deberá ser un divisor de tanto el ancho como el largo del suelo.
Dicho de otra forma
el largo, 435cm, tiene que ser múltiplo de L
el ancho, 375cm, tiene que ser múltiplo de L.
Por ejemplo, ambos números son múltiplos de 5, entonces podríamos tomar L = 5cm
En este caso, el área de cada baldosa es:
a = L^2 = 5cm*5cm = 25cm^2
Y el número total de baldosas que necesitaría usar esta dado por el cociente entre el área del suelo y el area de cada baldosa.
N = ( 163,125 cm^2)/(25cm^2) = 6,525 baldosas.
También sabemos que ambos números (435cm y 375cm) son múltiplos de 15cm
Entonces las baldosas podrían tener 15cm de lado.
En este caso, el área de cada baldosa es:
A = (15cm)^2 = 225cm
En este caso el número total de baldosas necesarias será:
N = ( 163,125 cm^2)/(225cm^2) = 725 baldosas.
(08.07A LC)
The two-way table below shows the number of students in a school who like mathematics and/or physics:
Do Not Like Mathematics
Total
Like Mathematics
Like Physics
15
20
35
Do Not Like
Physics
30
Total
20
45
65
How many more students like physics than mathematics?
O 10
PES
O 15
an
HEHEHE
O 20
REBBBBBBBBBBBBBBB
O 25
Answer:
25
Step-by-step explanation:
you would do the total which is 45-20
find the slope of the line passing through the points (-2,5) and (3/2,2)
Answer:
slope = - [tex]\frac{6}{7}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, 5) and (x₂, y₂ ) = ([tex]\frac{3}{2}[/tex], 2)
m = [tex]\frac{2-5}{\frac{3}{2}-(-2) }[/tex]
= [tex]\frac{-3}{\frac{3}{2}+2 }[/tex]
= [tex]\frac{-3}{\frac{7}{2} }[/tex]
= - 3 × [tex]\frac{2}{7}[/tex]
= - [tex]\frac{6}{7}[/tex]
A boat has a ladder that's ten feet long, and hangs off the side of the boat,
with its last two feet submerged in water. If the ocean tide rises five feet,
how much of the ladder will be underwater?
Answer:
2ft
Step-by-step explanation:
The tide doesn't effect the part of ladder that is underwater that is always 2ft
How much of the ladder that will be underwater is 7 ft.
Since the ladder is 10 ft long and its last two feet are submerged under water, this implies that 2 ft of the ladder are submerged under water.
When the tide rises by five feet, the part of the ladder that would be under water is 2 ft + 5ft = 7ft.
So, how much of the ladder that will be underwater is 7 ft.
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What should the following equation be multiplied by in order to eliminate the fractions?
Answer:
6
Step-by-step explanation:
To figure out what needs to be multiplied, we need to find the least common denominator. By finding this, we know that what we multiply the equation with will be a multiple of each denominator, meaning that there will be no fractions left.
We can find the least common denominator by listing multiples of each fraction, and finding which one is the smallest but still in each list.
3: 3, 6, 9, 12...
2: 2, 4, 6, 8...
6: 6, 12, 18, 24...
We can notice that 6 is the lowest number in each list. Therefore, 6 is our least common denominator, and if we multiply by 6, the fractions will be removed.
Answer:
6
Step-by-step explanation:
I took the quiz and got it correct.
r(x)=2[tex]r(x)=2[/tex]
Answer:
Slope =0
y-intercept = (0,2)
I'm not really sure what you need to find.
I need helppp someone e
Help me pls
Step-by-step explanation:
s ask me what's your question I can help u
what is the mesure of DBC?
Answer:
41
Step-by-step explanation:
Write the product as a single power. 6^(5) * 6^(2) * 6^(5)
Answer:
6^12
Step-by-step explanation:
add up all the exponents
[tex]\displaystyle\bf \boxed{a^m\cdot a^n=a^{m+n}}\\\\6^5\cdot 6^2\cdot6^5=6^{5+2+5}=\boxed{6^{12} }[/tex]
I need this ASAP!! Please Help!!
In the diagram, XY is congruent to YZ and the measurement for the arc XQZ is 199 degrees. Find the measurement of the arc YZ in degrees. Show work if can please.
Soso need help !
Plzzz n where can I find the answers to these pretest ain’t nobody got time for doin tha whole lesson lol thx xoxo
the question is in the picture below
Answer:
$843.67
Step-by-step explanation:
We can use a proportion to solve this problem:
12 : 100 = x : 896
x =(896 * 12)/100 = $107,52
896 - 107.52 = $788,48 (price of the computer after the discount)
7 : 100 = x : 788,48
x = (788,48 * 7)/100 = $55,1936
788.48 + 55,1936 = 843,6736 = $843.67 (final price)
Help me please if you don’t mind
Answer:
(7x + 2)(x - 2)(x + 2)
Step-by-step explanation:
Given
7x³ + 2x² - 28x - 8 ( factor the first/second and third/fourth terms )
= x²(7x + 2) - 4(7x + 2) ← factor out (7x + 2) from each term
= (7x + 2)(x² - 4) ← x² - 4 is a difference of squares
= (7x + 2)(x - 2)(x + 2)
Rewrite the equation 8x + 6x2 - 7= in standard form and identify a, b, and c.
Select one:
a. a =5,b= 8.c = -7
b.a=6,6= 8,0 = 1
ca=5,b=8,0= 7
da= 8,b= 6.c = -7
40
Answer:
a = 6
b = 8
c = -7
Step-by-step explanation:
In standard form, we have ;
y = ax^2 + bx + c
Here, we have;
6x^2 + 8x - 7
a is the coefficient of x^2 which is 6 in this case
b is the coefficient of x which is 8
c is the last number which is -7
So we have;
a = 6
b = 8
c = -7
to move a function, you need to___it.
Answer:
shift
Step-by-step explanation:
shift
Which expressions are equivalent to the one below? Check all that apply.
7*3.7^x
A. 73-*
B. 493x
C. 343.7
D. (7.7)3
E. 73x
F. 73 + x
Answer: ur answer is correct ❤️
Step-by-step explanation:
Michele was making tuna salad for a party. The recipe for 10 servings called for 8 oz of mayonnaise. A total of 240 people were expected to be at the brunch. How much mayonnaise would Michele need?
1. Divide 240 by 10 = 24
2. Multiply 24 • 8 = 192
Michele will need 192 oz. of mayonnaise.
Answer:
192 oz
Step-by-step explanation:
Hi there!
1) Create a proportion
[tex]\frac{8 (oz)}{10(servings)} =\frac{x(mayo)}{240(servings)} \\\frac{8}{10} =\frac{x}{240}[/tex]
2) Solve for x
[tex]\frac{8}{10} =\frac{x}{240}[/tex]
Multiply both sides by 240
[tex]\frac{8}{10} *240=x\\192=x[/tex]
Therefore, Michele would need 192 oz of mayonnaise.
I hope this helps!
Match the measures of each angle
Question 2: use the image and your knowledge of the isosceles triangle to find the value of x
Answer:
x is 66 degrees
Step-by-step explanation:
since its a isosceles, two of the angles should be the same.
someone please help me with this problem
Answer:
It has to be...
Step-by-step explanation:
$55*x because that will be the total
What is the equation of the line graphed below?
Answer:
y=2/5x
Step-by-step explanation:
Rise over run: you rise by 2, run by 5. Or you can use the slope formula: m=y2-y1/x2-x1
2-0/5-0=2/5=m
50 points and brainless
1. In a board game, you must roll two 6-sided number cubes. You can only start the game if you roll a 3 on at least one of the number cubes.
(a) Make a list of all the different possible outcomes when two number cubes are rolled.
(b) What fraction of the possible outcomes is favorable?
(c) Suppose you rolled the two number cubes 100 times, would you expect at least one 3 more or less than 34 times? Explain. Answer:
Answer:
The answer for (a) is
1, 1 2, 2 3, 3 4, 4 5, 5 6, 6
1, 2 2, 3 3, 4 4, 5 5, 6
1, 3 2, 4 3, 5 4, 6
1, 4 2, 5 3, 6
1, 5 2, 6
1, 6
The answer for (b) is 6/21 or 0.285714286
The answer for (c) is Less than. {its in the explanation}
===================================================================
Explanation:
(a)- Its not really hard, it just takes a bit of time.
(b)- The total number of possibilities is 21. Favorable outcomes would have a 3 as one of the dice, and only 6 of the 21 outcomes has a 3. (they are in bold)
There are only 21 possible outcomes because the prompt says "Make a list of all the different possible outcomes." For example: I have 3, 4 as an outcome, but not 4, 3 because that would be the same outcome.
(c)- Less than, because the possibility of getting an outcome with at least one 3 is only 0.285714286. If you multiply that by 100, thats only 28.5714286, or 29, still less than 34.
P=(2,3,5,7) Express it in description method and in rule method.
Answer:
prime number between 1 to7
The description of set P is the set of prime numbers less than or equal to 7 and the rule is {x | x is a prime number less than or equal to 7}
How to describe the set of P?The set P is given as:
P = {2,3,5,7}
Note that the numbers are prime numbers.
This means that the description of set P is the set of prime numbers less than or equal to 7
The rule form of the set would be:
P = {x | x is a prime number less than or equal to 7}
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please help -------------------- ASAPPP
Hello,
[tex]f^{-1}(f(58))=(f^{-1}*f)(58)=1(58)=58\\f(f(5)=f(9)=11\\[/tex]
Find the cosine of angle A to the nearest 100th.
Answer:
[tex]{ \tt{ \cos(A) = \frac{ \sqrt{700} }{40} }} \\ { \tt{ \cos(A) = 0.66 }}[/tex]
Dilate ΔABC by a factor of 2 (with the origin as the center of dilation) to form ΔA′B′C′. Measure the side lengths of the dilated triangle. Confirm that the ratio of corresponding side lengths of ΔABC and ΔA′B′C′ is equal to the scale factor of the dilation.
Answer:
Step-by-step explanation:
This is from PLATO
Hi, may someone help me with this question? Thank you!:)
“If f(x) = x^2 + 7, find f(x+2)”
Answer:
=x^2 +4x+11
Step-by-step explanation:
f(x) = x^2 + 7,
Replace x with x+2
f(x+2) = (x+2)^2 + 7
= (x+2)(x+2) +7
FOIL
= x^2 +2x+2x+4 +7
Combine like terms
=x^2 +4x+11
Answer:
[tex]f(x+2)=x^2+4x+11[/tex]
Step-by-step explanation:
In [tex]f(x)=x^2+7[/tex], for all values of [tex]x[/tex], we substitute [tex]x[/tex] (what is in the parentheses) into [tex]x^2+7[/tex] to output a [tex]y[/tex] value.
In [tex]f(x+2)[/tex], the term [tex](x+2)[/tex] is in the parentheses. Therefore, substitute [tex](x+2)[/tex] for [tex]x[/tex] in [tex]x^2+7[/tex] to find [tex]f(x+2)[/tex]:
[tex]f(x+2)=(x+2)^2+7[/tex]
Expand using [tex](a+b)^2=a^2+2ab+b^2[/tex],
[tex]f(x+2)=x^2+4x+4+7[/tex]
Combine like terms:
[tex]\boxed{f(x+2)=x^2+4x+11}[/tex]
Hiệu điện thế giữa hai điểm M và N là UMN = 100 V. Một điện tích q = -2μC di chuyển từ M đến N thì công của lực điện là:
Answer:
The work done is - 200 μJ.
Step-by-step explanation:
The potential difference between two points M and N is UMN = 100 V. A charge q = -2μC moves from M to N, the work of the electric force is:
Potential difference, V = 100 V
Charge, q = - 2 μC
The potential difference is defined as the amount of work done in bringing a unit positive test charge from one point to another in the electric field.
So, W = q V
W = - 2 μC x 100 V = - 200 μJ