What are the values of x in the equation (x - 3)2 = 7?
Answer:
Exact Form - 13/2
Decimal Form - 6.5
Mixed Number Form - 6 1/2
Hope this helps
What is the answer? Please help. Urgent.
Given:
A figure that contains a right triangular prism and cuboid.
To find:
The volume of the figure.
Solution:
The dimensions of cuboid are 16 in, 7 in and 3 in.
So, the volume of the cuboid is:
[tex]V_1=Length\times Width \times height[/tex]
[tex]V_1=16\times 7 \times 3[/tex]
[tex]V_1=336[/tex]
The base of the prism is a right angle with base 3 in and height 5 in, and the length of the prism is 6 in. So, the base are of the prism is
[tex]B=\dfrac{1}{2}\times Base\times Height[/tex]
[tex]B=\dfrac{1}{2}\times 3\times 5[/tex]
[tex]B=7.5[/tex]
The volume of a prism is:
[tex]V_2=Bh[/tex]
Where, B is the base area and h is the height of the prism.
[tex]V_2=(7.5)(6)[/tex]
[tex]V_2=45[/tex]
The volume of combined figure is:
[tex]V=V_1+V_2[/tex]
[tex]V=336+45[/tex]
[tex]V=381[/tex]
Therefore, the volume of the figure is 381 cubic in.
The length of the legs of a 45-45-90 Special Right Triangle are 5 inches. How long is the hypotenuse of the triangle?
Question 1 options:
15 inches
5√3– inches
5√2– inches
10 inches
Answer:
[tex]5\sqrt{2}[/tex]
Quiz results:
The length of the hypotenuse of a 45-45-90 Special Right Triangle is given by: Option C: 5√2 inches
What is Pythagoras Theorem?If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]
where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).
For this case, we're specified that:
The triangle is 45-45-90 Special Right Triangle,that means, two of its angles are of 45 degrees and one is of 90 degrees.The legs of the triangle (non-slant side, the sides which are perpendicular to each other) are of 5 inches length.Thus, as shown in the diagram, the hypotenuse is AC.
Its length is found using the Pythagoras theorem as:
[tex]|AC|^2 = |AB|^2 + |BC|^2\\\\|AC|^2 = 5^2 + 5^2 = 25 + 25 = 50\\\\\text{Taking roots, but positive as AC is length, a non-negative quantity}\\\\|AC| = \sqrt{50} = \sqrt{25 \times 2} = \sqrt{5^2 \times 2} = 5\sqrt{2} \: \rm inches[/tex]
Thus, the length of the hypotenuse of a 45-45-90 Special Right Triangle is given by: Option C: 5√2 inches
Learn more about Pythagoras theorem here:
https://brainly.com/question/12105522
i love you all thnx for the support <333
Answer:
np
Step-by-step explanation:
Thanks for the points:)
Answer:
we love u too!!! lol idek know u but u seem sweet
Step-by-step explanation:
If a cone has a height of 8 inches and a side measurement of 10 inches, what is the radius of its base?
Answer:
r = 6 inch
Step-by-step explanation:
Given that,
The height of a cone, h =8 inches
The slant height of the cone, l = 10 inches
We need to find the radius of the base. The relation between height, radius and the slant height of the cone is given by :
[tex]r=\sqrt{l^2-h^2} \\\\r=\sqrt{10^2+8^2} \\\\r=6\ inch[/tex]
So, the radius of its base is equal to 6 inches.
Lakota is planning on creating a gigantic flag to honor the greatness of the superintendent, Mr. Miller. The main part of the flag will be a gigantic picture of Mr. Miller’s face. The picture will be 12 meters by 16 meters. Around the outside will be a uniform border. The total area of the flag with the border will be a total of 285 square meters. Determine the width of the border that will be surrounding the picture of our great leader.
HURRY PLEASE
Answer:
285 square mwters
Step-by-step explanation:
length 16 meters X width 12 meters = 192
(Lx2x) (Wx2x)= 285
PLSSSSSSSSSSSS I SERIOUSLY DONT GET THIS
Does the table represent a linear or nonlinear function
Answer:
Non-Linear
Step-by-step explanation:
Answer:linear
Step-by-step explanation:
PLZ HELP NOW IM FAILING
Answer:
1.b
2.c
Step-by-step explanation:
f(x)+g(x)
3x-2+6-4x
-x+4
4-x. addition is commutative
3x²*4x/(3x2*2x)
2
Answer:
first one is B
second one is c
Step-by-step explanation:
ill mark brainliest, question is attached
Answer:
v = 9
Step-by-step explanation:
6(v + 3) = 72
6v + 18 = 72
6v = 54
v = 9
Answer:
V = 9
Step-by-step explanation:
6(v + 3) = 72
Divide both sides by 6
6(v+3)/6 = 72/6
SImplify:
v + 3 =12
Subtract 3 from both sides:
v + 3 - 3 = 12 - 3
Simplify to get your answer of:
v = 9
Hope this helped,If you have any questions revolving around this topic,feel free to ask me and I will be glad to help,Good luck!
Jodie has 68 red marbles and 272 blue marbles. What percent of Jodie’s marbles are red?
Answer:
20%
Step-by-step explanation:
To do this we need to find the total number of marbles
272 + 68 -> 340
Now we divide 340 by 68 to get
68/ 340 = .2
Multiply by 100 because percent means PER 100 so to get this decimal in percent form multiply by 100
.2 * 100 = 20%
20% of Jodie's marbles are red
HELP ME THIS SUCKS
I'll give you brainless
Answer:
m∠1= 38°
Step-by-step explanation:
180-145= 35
107+35= 142
angles in a triangle add up to 180
if the two known angle add up to 142
just do the easy math
180-142
= 38
m∠1= 38°
What is the value of the expression 6c^2 - 5d + 8, when c=5 and d=4?
Answer:
138
Step-by-step explanation:
6c^2- 5d +8
6(5)^2- 5(4) + 8
6(25) - 5(4) + 8
150 - 5(4) +8
150 - 20 + 8
130 + 8
138
A ball is thrown into the air from a height of 4 feet at time t = 0. The function that models this situation is
h(t)= -16t2 + 64t + 4, where t is measured in seconds and h is the height in feet. Use this information to answer the following questions.
A)What is the height of the ball after 2 seconds?
B)When will the ball reach a height of 50 feet?
C)What is the maximum height of the ball?
D)After how many seconds will the ball hit the ground?
E)What domain makes sense for the function?
a character representing one or more of the sounds used in speech; any of the symbols of an alphabet.
Q3) Which of the following objects most closely resembles a golden rectangle and why?
a)8X5 inch paper.
b) 13X21 inch canvas.
Answer:
b :)
Step-by-step explanation:
brain list pls
how do you find the value of x
Answer:
To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.
Step-by-step explanation:
isnt the x a 90 degree angle?
The number of traffic citations given daily by two police departments over a two-week period is shown in the box-and-whisker plots. Which statement is NOT true?
a.The East department gave the greatest number of citations in one day.
b.The East department gave the least number of citations in one day.
c.The East department has a greater IQR than the West department.
d.The East department has the greater median of citations in one day.
Answer:
b. The East department gave the least number of citations in one day.Step-by-step explanation:
a. The East department gave the greatest number of citations in one day.
True, 210 > 190 (approx.)b. The East department gave the least number of citations in one day.
False, 110 > 90 (approx.)c. The East department has a greater IQR than the West department.
True, 4 out of 5 numbers are greaterd. The East department has the greater median of citations in one day.
True, 143 > 135 (approx.)Can someone help me please
Answer:
192 minutes
Step-by-step explanation:
if 100% is 8 hours
50% is 4 hours
75% is 2 hour
then 60% = 60/12.5 = 4.8 hours left
8-4.8 = 3.2 hours there
3.2x 60 = 192 minutes
Which equation represents a line that passes through the points (4, 5) and (6, 9)? A. y = 2x-3 B. y - 3x-7 C. y= x + 3 D. y- + x + 7
Answer:
A) y=2x-3
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(9-5)/(6-4)
m=4/2
m=2
y-y1=m(x-x1)
y-5=2(x-4)
y=2x-8+5
y=2x-3
The circumference of a circle is 6π m. What is the area, in square meters? Express your answer in terms of \piπ.
Answer:
Area = 9π sq. m.
Step-by-step explanation:
C = πd
6π = πd
d = 6
r = 3
A = π[tex]r^{2}[/tex] = π[tex]3^{2}[/tex] = 9π sq. m.
The width of a rectangle is 1 units less than the length. The area of the rectangle is 30
units. What is the length, in units, of the rectangle?
Answer:
width is 5, length is 6
Step-by-step explanation:
5x6=30
A pizza has a radius of 13.5 centimeters. What is the CIRCUMFERENCE of the pizza? Use 3.14 for pi. Round to the nearest tenth
Answer:
The circumference is:
[tex]C=84.8\: cm[/tex]
Step-by-step explanation:
The pizza is a circle, so the circumference equation is given by:
[tex]C=2\pi R[/tex]
Where:
R is the radius of the circumference.pi is 3.14Therefore, the circumference is:
[tex]C=2\pi*13.5[/tex]
[tex]C=84.8\: cm[/tex]
I hope it helps you!
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP FAST IT'S ASAP
Answer:
572.3
Step-by-step explanation:
Diameter = 27m
Radius = d / 2 = 27 / 2 = 13.5m
Area = pi x r²
= 3.14 x (13.5)²
= 3.14 × 182.25
= 572.3
For the data set 6, 5, 10, 11, 13, the mean, x, is 9. What is the standard deviation?
Answer:
your answer will be 3.4
Step-by-step explanation:
n=number of terms
{6,5,10,11,13}=5
also ∑(x-x)^2=46
[tex]S=\sqrt{\frac{1}{5-1} *46} =[/tex]
[tex]\sqrt{\frac{46}{4} }=\sqrt{11.5} \\\\S=3.4[/tex]
hope it helps
have a great day!!
Ana compró una cartera cuyo precio original es de x dólares con el 10% de descuento y un perfume con precio original de B dólares con un descuento del 15%¿cuanto gasto en total Ana?
Answer:
Tarea:
Ana compró una cartera cuyo precio es x dólares con el 10% de descuento y un perfume con precio original en dólares con un descuento del 15%. ¿Cuánto gastó Ana en total?
- Solución:
El precio estará en lenguaje algebraico, ya que no nos dan el dato de cuánto costó cada artículo.
• Hallamos el precio de la cartera con el descuento:
El precio original es x, entonces:
Regla de tres:
100 % --------> x
10 % -----------> ?
10 . x : 100 = ?
10x/100 = ?
El 10% del precio de la cartera es 10x/100.
Entonces el precio de la cartera es (x-10x/100).
• Hallamos el precio del perfume con el descuento:
El precio original es y, entonces:
Regla de tres:
100% -------> y
15 % --------> ?
15.y/100
El 15% del perfume es 15y/100.
Entonces el precio del perfume con el descuento es (y-15y/100).
Entonces lo que gastó en total es:
(x - 10x/100) + (y - 15y/100)
Step-by-step explanation:
pls give me brainless
What is the measure of FBC?
Type your response below
Answer:
150
Step-by-step explanation:
Since EC is 180,
180-30=150
4 A group of 40 mountain goats has just been
transplanted to an area with the expectation
their population will increase exponentially by
30% each year. If f(x) represents their total
population and x is the number of years in the
future, which function models the situation?
Answer:
f(x) = 40 × (1.3)ˣ
Step-by-step explanation:
4. The given parameters of the population of mountain goats are;
The initial number of mountain goats, a = 40
The rate at which their population will increase, r = 30% = 0.3 exponentially
The total population after 'x' years is given by f(x)
For exponential growth, we have;
f(x) = a·(1 + r)ˣ
Plugging in the values, we get;
f(x) = 40 × (1 + 0.3)ˣ = 40 × (1.3)ˣ
Adam bought a guitar on sale for 15% off. The sale price he paid was $297.50 (not including tax) What was the regular price of this guitar?
Answer:
Sales Price= $297.50
Regular Price= $297.50/85 * 100= $350
Find the area:
(A) 48
(B) 96
(C) 144
(D) 288
Answer:
144
Step-by-step explanation: You add both of the bases in which this case would be 12 and 6, giving you 18, multiply it by the height, 16, to give you 288 then divide it by 2.
topic integers
please solve this question
urgent
Given:
i) 3, -5, -2, 1
ii) -1, -8, -7, -2
iii) -2, -4, 0, 2
To find:
increasing order of the given numbers.
Solution:
Increasing order: We need to start from the smallest number, then write larger number and end with the largest number.
We know that all negative numbers are less than the positive numbers and larger negative value is always the smaller one.
For example: -3 is less than -1.
i) We have,
3, -5, -2, 1
So, the increasing order of these number is -5, -3, -2, 1.
ii) We have,
-1, -8, -7, -2
So, the increasing order of these number is -8, -7, -2, -1.
iii) We have,
-2, -4, 0, 2
So, the increasing order of these number is -4, -2, 0, 2.