That's the isosceles right triangle, one of the two cliche triangles students are expected to learn. The sides of the 45°/45°/90° triangle are in the ratio 1:1:√2.
So v= 3√2 (the two legs are equal) and hypotenuse u = √2 × v = 6.
Answer: C
At a pet store, Ms. Pike paid $34.75 for 5 dog bowls and 7 bones. Mr. Moore paid $20.50 for 3 dog bowls and 4 bones. Determine the cost of one dog bowl(x) and one bone(y).
Answer:
Step-by-step explanation:
t a pet store, Ms. Pike paid $34.75 for 5 dog bowls and 7 bones. Mr. Moore paid $20.50 for 3 dog bowls and 4 bones. Determine the cost of one dog bowl(x) and one bone(y).
Select the correct answer.
Shape 1 and shape 2 are plotted on a coordinate plane. Which statement about the shapes is true?
A.
Shape 1 and shape 2 are not congruent.
B.
A translation will prove that shape 2 is congruent to shape 1.
C.
A rotation and a translation will prove that shape 2 is congruent to shape 1.
D.
A reflection, a rotation, and a translation will prove that shape 2 is congruent to shape 1.
The slope of line m is 3/8. Line n is perpendicular to line m. What is the slope of line n?
Answer:
- [tex]\frac{8}{3}[/tex]
Step-by-step explanation:
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{3}{8} }[/tex] = - [tex]\frac{8}{3}[/tex]
PLEASE PLEASE HELP ME! thank you so so much
explaining your answer = brainliest/five stars
The radius of a circle is 4 kilometers. What is the area of a sector bounded by a 135° arc?
give the exact answer in simplest form
Answer:
6π
Step-by-step explanation:
(135/360)×π×4²
(135/360)×π×16
=6π
Simplify the following expression (a³b)⁴
Answer:
a¹²b⁴
Step-by-step explanation:
When terms with exponents are multiplied, the exponents multiply.
(a³b)⁴ = a¹²b⁴
Answer: a^12b^4
Step-by-step explanation:
(a^3b)^4 = (a^3b) x (a^3b) x (a^3b) x (a^3b) = a^12b^4
5.
Peter earns $9 each hour for the first 40 hours he works each week. For every hour he
works after 40 hours, he earns $12 each hour. Last week Peter earned $444.
Which equation could be used to find the number of hours, h, during which Peter
earned $12 last week?
A. (40 x 9) + h = 444
B. (40 x 9) - h = 444
C. (40 x 9) + 12h = 444
D. (40 x 9) - 12h = 444
help asap will mark brainliest !!!!!!
Question 12(Multiple Choice Worth 1 points)
(01.03 MC)
What is the simplified expression for 4 power 4 multiplied by 4 power 3 over 4 power 5?
40
41
42
43
Answer:
4²
Step-by-step explanation:
simplified expression of 4 power 4 multiplied by 4 power 3 over 4 power 5.
Answer:
4^2
Step-by-step explanation:
(4^4*4^3)/4^5
4^4 * 4^3 = 4^7 because of an exponent multiplication property, when exponents of the same number multiply, they can just add
4^7/4^5
4^7-5
= 4^2 Because..
another exponent property is that if the exponents of the same number divide, they can subtract! The opposite of the other property!
Beth filled 72 jars with paint. If each jar holds 1 pint of paint, how many gallons of paint did beth use?
Answer:
9 gallons were used
Step-by-step explanation:
There are 8 pints to 1 gallon
72 jars holding 1 pint each means 72 pints total
72/8=9
Beth used 9 gallons
P.S. Can I get brainlist
solve the proportion : 4/7=52/x
Together, teammates Pedro and Ricky got 2679 base hits last season. Pedro had 283 more hits than Ricky. How many hits did each player have?
Pedro had base hits
Answer:
Pedro: 1481 Base hits
Ricky: 1198 Base hits
Step-by-step explanation:
First, take the total amount of base hits last season 2679, then subtract how many more Pedro has 283.
2679 - 283 = 2396 now divide the sum in half 2396 ÷ 2 = 1198 that gives you how many each player has, you're then going to add the amount that you took off to only Pedras total since he had 283 more
Pedro: 1198 + 283 = 1481
Ricky: 1198
help me for brainiest pleasee
Answer: B
Step-by-step explanation: 12.8% of 635,000 = 81280
what is the correct answer
Answer:
D. 2√2
Step-by-step explanation:
In a 45° 45° 90° triangle, the hypotenuse is the leg length multiplied by √2. So divide by √2 to find x.
x = 4/√2 = 2√2
What is 1 5/7 - 1 2/5
Answer:
the answer to the question is = -9/35
f(x)=4 hallar el dominio, codominio, ceros o raices, vertices, asintotas, tabla de valores, graficas, identificar el tipo de funcion
Answer:
Tipo de función: Función Constante o Función Polinómica de Orden Cero
Dominio: [tex]Dom \{f(x)\} = \mathbb{R}[/tex]
Codominio: [tex]Ran \{f(x)\} = 4[/tex]
Asíntota: [tex]y = 4[/tex]
Raíces: No tiene.
Vértices: No tiene.
La tabla de valores y el gráfico se encuentran adjuntos al fondo.
Step-by-step explanation:
Sea [tex]f(x) = 4[/tex], el cual representa a una Función Constante o Función Polinómica de Orden Cero, cuyos dominio y codominio son [tex]Dom \{f(x)\} = \mathbb{R}[/tex] y [tex]Ran \{f(x)\} = 4[/tex]. No tiene vértices. Esta función tiene una asíntota horizontal coincidente con la función ([tex]y = 4[/tex]) y carece de raíces al ser [tex]f(x) \ne 0[/tex] para todo [tex]x\in \mathbb{R}[/tex].
Finalmente, agregamos una tabla de valores y la gráfica asociada a la función:
x -2 -1 0 1 2
y 4 4 4 4 4
Two similar triangles, the perimeter of the first is 74cm and the side lengths of the other one are 4.5cm 6cm and 8 cm. Find the length of the longest side of the first triangle.
Answer:
the longest side of the first triangle is 32 cm
Step-by-step explanation:
Given;
dimension of the smaller triangle = 4.5cm 6cm and 8 cm.
the longest side of this smaller triangle = 8 cm
Perimeter of the first triangle = 74 cm
let the increase in dimension of the similar first triangle = x
the longest side of the first triangle = 8x
4.5x + 6x + 8x = 74
18.5x = 74
x = 74/18.5
x = 4
the longest side of the first triangle = 8 x 4 = 32 cm
No files just type it in please I been stuck in this answer
Answer:
24
Step-by-step explanation:
ate 4 pounds 6 times because monday, tuesday, wednesday, thursday, friday, saturday.
therefore 4x6= 24
OMG DUE IN 40 MINUTESSSS!!
Answer:
17 1/3 52/3
Step-by-step explanation:
3x+y=38
3x+2y=52
-y=14
y=-14
3x+-14=38
3x-14=38
3x=38+14
3x=52
3x/3=52/3
x=171\3
17 is a whole number then 1 divided by 3 . thus is x
please help! ten points! thank you
Pls help me with this i don’t really get it pls
Answer:
a y intercept (0,8)
Flat rate 8
b slope is 4
c 3.5 hours
Step-by-step explanation:
The y intercept is where it crosses the y axis, which is (0,8)
The flat rate is the y intercept which is 8
The rate per hour is the slope
m = ( y2-y1)/(x2 -x1)
Using 2 point ( 1,12) and ( 2,16)
= (16 -12)/(2-1)
= 4/1
= 4
The equation is
y = mx+b
y = 4x+8
Let y = 22
22 = 4x+8
Subtract 8 from each side
22-8 = 4x+8-8
14 = 4x
Divide by 4
14/4 = 4x/4
3.5 = x
3.5 hours
(0,8) is the y intercept because it crosses the y axis.
What is the flat rate?We can see that the flat rate is 8, which is the y intercept.
b) Find the slope and write an equation for the line.[tex] \quad\quad\quad\boxed{ \tt{m = \frac{rise}{run} = \frac{ y \tiny{2} \: \small{ - } \: y \tiny{1}}{x \tiny{2} \: \small{ - } \: x \tiny{1}} }}[/tex]
We will use the first 2 points in the graph which is (1,12) and (2,16).[tex]\quad\quad\quad\boxed{ \tt{m = \frac{16 - 12}{2 - 1} }}[/tex]
[tex]\quad\quad\quad\boxed{ \tt{m = \frac{4}{1} }}[/tex]
[tex] \quad\quad\quad\boxed{ \color{green}\tt{m = 4}}[/tex]
The equation is:[tex] \quad \quad \quad \boxed{ \tt{y = mx + b}}[/tex]
c) Jack has $22 for how many hours can he rent an e-bike?Let's use the equation as formula:[tex] \quad \quad \quad \boxed{ \tt{y = mx + b}}[/tex]
Let's y = 22, mx = 4 and b = 8.[tex] \quad \quad \quad \boxed{ \tt{22 =4x + 8}}[/tex]
Let's subtract 8 from each side.[tex] \quad \quad \quad \boxed{ \tt{22 - 8 = 4x + 8 - 8}}[/tex]
[tex] \quad \quad \quad \boxed{ \tt{14 = 4x \: \:\cancel{ \color{red}+ 8 - 8}}}[/tex]
Let's devide it by 4 to cancel out the number 4.[tex]\quad \quad \quad \boxed{ \tt{ \frac{14 = \cancel4x}{ \cancel{4} }}}[/tex]
[tex]\quad \quad \quad \boxed{ \color{green} \tt{3.5 = x}}[/tex]
Hence the answer for this is 3.5 hours or 3h50m. It is approximately 4 hours._________
#LetsStudy
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Suzie bought 17.75 lbs of flour. If the price for 1lb is $19.68, calculate the total amount she paid to the shopkeeper
4) Given that the polynomial p(x) = 2x4 - 3x2 + 6x + k.
Find the value of k if (x - 1) is a factor of p(x).
{ANS: k = -5)
Answer:
k = - 5
Step-by-step explanation:
Given that (x - 1) is a factor of p(x) then p(1) = 0, that is
2 - 3 + 6 + k = 0
5 + k = 0 ( subtract 5 from both sides )
k = - 5
Help me please !!!!!!!!!!!
Answer:
option 1
Step-by-step explanation:
[tex]Area = \frac{3}{4} \times \frac{5}{6} = \frac{15}{24}[/tex]
What is the solution to the inequality below x2 > 64
Answer:
Step-by-step explanation:
x2
simplify :
26-10/2x5+3
Answer:
16/13 is the answer.
26-10 is 16 and 2x5+3 is 13
Answer:
4
Step-by-step explanation:
26 - 25 + 3
Find the values of x and y. Leave answer in simplest radical form
Answer:
x = 4/√2
y = 4/√2
Step-by-step explanation:
Hypotenuse = 4
θ = 45°
x = Opposite side
y = Adjacent Side
a) Solving for x = Opposite side
We solve using Trigonometry function of Sine
sin θ = Opposite/Hypotenuse
sin 45 = x/4
Cross Multiply
x = sin 45 × 4
Note that : sin 45 = 1/√2
x = 1/√2 × 4
x = 4/√2
b) Solving for y
We solve using Trigonometric function of Cosine
cos θ = Adjacent/Hypotenuse
cos 45 = x/4
Cross Multiply
x = cos 45 × 4
Note that : cos 45 = 1/√2
x = 1/√2 × 4
y = 4/√2
Determine whether Triangle AWT= UYZ. explain your reasoning
Answer: The triangles are congruent by the HL theorem
HL = hypotenuse leg
======================================================
Explanation:
Through the segment addition postulate, we can say:
WZ = WT+TZ
YT = TZ+ZY
Notice how both WZ and YT have TZ as part of their segments.
Since WZ and YT are the same length, we can then say,
WZ = YT
WT+TZ = TZ+ZY
WT = ZY
I used substitution for the second step.
The last step is where I subtracted TZ from both sides, and they canceled out.
---------------------
We have the following info:
WT = ZY (just found)AT = UZ (given)angle AWT = angle UYZ (given)Normally, the conclusion from here would be "not enough info" because this is a SSA case. Note how the angles are not between the congruent sides. So we wouldn't use SAS.
However, despite us having SSA, it doesn't mean we can't keep going. The reason why is because we have two right triangles. So we can use the HL theorem instead. Statement 1 above refers to the L of HL, while statement 2 is the H.
HL = hypotenuse leg
Again, HL only works for right triangles. It's the only time we can use SSA to prove right triangles are congruent; otherwise, SSA is not a valid congruence theorem.
please explain fully and i give brainiest thanks and 5 stars
Answer:
[tex]a=7,\\b=3[/tex]
Step-by-step explanation:
The area of a rectangle is equal to [tex]A=l\cdot w[/tex], where [tex]l[/tex] is the length of the rectangle and [tex]w[/tex] is the width of the rectangle. In a rectangle, opposite sides are equal.
Therefore, we can write the following system of equations:
[tex]\begin{cases}a\cdot (9+b)=84,\\a\cdot b=21\end{cases}[/tex]
Expand the first equation:
[tex]9a+ab=84[/tex]
Substitute the second equation into the first ([tex]ab=21[/tex]):
[tex]9a+21=84,\\9a=63,\\a=\boxed{7}[/tex]
Solving for [tex]b[/tex]:
[tex]7b=21,\\b=\frac{21}{7}=\boxed{3}[/tex]
Answer:
Step-by-step explanation:
Hope this helps u!!
0.25 , 0.5 , 0.375 , 2.5 , 0.125 in asending order ..
Helppp meee please!!
Vertical stretch
Hope this helps! :)
Two containers are used to hold liquid. These containers have exactly the same shape. The first container has a height of , and it can hold of liquid. If the second container has a height of , how much liquid can it hold?
The second container can hold (1000/3) x h2 cubic centimeters of liquid.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
We can use the concept of similar shapes to solve this problem.
Since the two containers have exactly the same shape, the ratio of their corresponding dimensions (height, width, and length) will be the same. Let's denote the height of the second container by h2.
Now,
The first container has a height of h1 and can hold v1 units of liquid.
Since the containers have the same shape, the ratio of their heights will be the same as the ratio of their volumes.
So,
h2/h1 = (volume of container 2) / (volume of container 1)
Solving for the volume of container 2.
(volume of container 2) = (h2/h1) x (volume of container 1)
Substituting the given values, we get:
(volume of container 2) = (h2/3) x (1000)
where we have converted 1 liter to 1000 cubic centimeters.
Simplifying this expression.
(volume of container 2) = (1000/3) x h2
Therefore,
The second container can hold (1000/3) x h2 cubic centimeters of liquid.
Learn more about expressions here:
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