Answer:
The value of x is 16 and the width is 4.
Step-by-step explanation:
The area of a rectangle is the length multiplied by the width, which is [tex]9\sqrt{x}[/tex].
So, [tex]9\sqrt{x}[/tex] = 36.
We divide both sides by 9, getting [tex]\sqrt{x}[/tex] = 4.
We then square both sides, getting x = 16.
The value of x is 16, and the width is 4.
Find the perimeter. (attachment included)
Answer:
5 + 2[tex]\sqrt{11}[/tex]
Step-by-step explanation:
5 + [tex]\sqrt{11}[/tex] - [tex]\sqrt{5}[/tex] + [tex]\sqrt{11}[/tex] + [tex]\sqrt{5}[/tex]
5 + 2[tex]\sqrt{11}[/tex] - [tex]\sqrt{5}[/tex] + [tex]\sqrt{5}[/tex]
5 + 2[tex]\sqrt{11}[/tex]
The two interior angles on one lateral face of a pyramid-shaped
paperweight measure 35° each. What is the measure of the unknown
angle?
Answer:
Option (B)
Step-by-step explanation:
From the property of a triangle,
Sum of all interior angles of the triangle is 180°
By applying this property in the given triangle IHK,
m∠HIK + m∠IKH + m∠KHI = 180°
m∠HIK + 35° + 35° = 180°
m∠HIK = 180° - 70°
= 110°
Therefore, measure of the unknown angle of the given triangle is 110°.
Option (B) will be the answer.
Answer:
As eudora states: B).110 is the correct answer.
7^2+4x-3y+3 ? Simplify algebraic expressions
Answer:
⇢ [tex]{\boxed{\bold{Simplified \: form = 4x + -3y + 52}}}[/tex]
Step-by-step explanation:
⇢ [tex]\rm{7^{2} + 4x - 3y+3}[/tex]
ㅤ
From the above equation, expanding we get:-
⇢ [tex]\rm{49 + 4x + -3y+3}[/tex]
ㅤ
Now combining the like terms:-
⇢ [tex]\rm{49 + 4x + -3y + 3}[/tex]
ㅤ
⇢ [tex]\rm{(4x) + (-3y) + (49 + 3)}[/tex]
ㅤ
⇢ [tex]{\boxed{\bold{4x + -3y + 52}}}[/tex]ㅤ
Point to remember:-
⇢ In the part of equation expansion, there we have to expand the given equation like: (7² = 7 * 7 = 49). Therefore we get that number.
In order to rescue Sela's cat, her mother propped a 19 foot long ladder against a tree at a 42° angle with the ground. How
many feet above the ground was their cat? Round your answer to the nearest tenth of a foot.
Answer:
12.7 feet
Step-by-step explanation:
To solve this question, we use the trigonometric function of Sine
sin θ = Opposite side/Hypotenuse
θ = 42°
Hypotenuse = 19 foot ladder
Opposite side = Distance of the cat from the ground(height of the tree)= unknown
sin 42° = Opposite/19 feet
Opposite = sin 42° × 19
Opposite = 12.713481521 feet
Approximately to the nearest tenth of a foot = 12.7 feet.
Therefore, the cat was 12.7 feet above the ground.
The weight of a body varies inversely as the square of its distance from the center of the earth. If the radius of the earth is 4000 miles, how much would a 200-pound man weigh 2000 miles above the surface of the earth rounded to the nearest pound? pounds
Answer:
3,500 + 750 = 4,250
Weight = (3,500 / 4,250)^2 * 180 = 0.678200692 * 180 =
122.08 pounds
Step-by-step explanation:
help me on this please !!
Step-by-step explanation:
Hey, there !!
It's simple lets get started with simple solution,
Given the sequences are,
10,8,6,4....
Then,
common diifference= 2
now, we have formula,
[tex]an = a1 + d(n - 1)[/tex]
[tex]or \: an= 10 + 2(n - 1)[/tex]
[tex]or \: an \: = 10 + 2n - 2[/tex]
[tex]an \: = 2n + 8[/tex]
[tex]or \: an = 2(n + 4)[/tex]
Therefore, The answer is an = 2( n+4) or, 10+2(n-1)...
{ note: 2(n+4) is simplified form of 10 +2(n-1).}
Hope it helps...
Solve for x.
3(2x + 5) = 33
Answer:
x = 3
Step-by-step explanation:
3(2x + 5) = 33
3 * 2x + 3 * 5 = 33
6x + 15 = 33
6x = 33 - 15
x = 18 / 6
x = 3
you are given the expressions 76+n and 2n + 26. What is the smallest value of n that will make each number rational?
Answer:
The smallest value of n is 5.
Step-by-step explanation:
The expressions provided are:
[tex]1. \sqrt{76+n}\\\\2. \sqrt{2n+26}[/tex]
Rational numbers are those numbers that can be expressed in ratio or fractional form, i.e. in the form of [tex]\frac{p}{q}[/tex].
The provided numbers have denominators as 1.
We need to find the minimum value of n to make both the numbers a perfect square.
Consider the first number,
[tex]\sqrt{76+n}=\sqrt{76+5}=\sqrt{81}=9[/tex]
The number [tex]\frac{9}{1}[/tex] is a rational number.
Consider the second number,
[tex]\sqrt{2n+26}=\sqrt{(2\times5)+26}=\sqrt{36}=6[/tex]
The number [tex]\frac{6}{1}[/tex] is a rational number.
Thus, the smallest value of n is 5.
Which expressions are equivalent to x7? There may be more than one correct answer. Select all that apply. (x21)1/3 x^15/x^8 x^21⋅x^13 x^3/x^4 x^15⋅x^8 x^3⋅x^4
Answer:
x^15/x^8 = x^7
x^3⋅x^4 = x^7
(x^21)1/3 = x^7
Step-by-step explanation:
The equivalent expressions of expression x⁷ are (x²¹)¹/³, x⁷ and x¹⁵/x⁸.
What are the equivalent expressions?Expressions that are equivalent to the same thing, even when they have distinct appearances. When we enter the same value(s) for the variable, two algebraic expressions that are equivalent have the same value (s).
Given:
An expression x⁷.
To find the equivalent expressions:
(1).
(x²¹)¹/³
Simplifying,
= ∛(x⁷)³
= x⁷
This is an equivalent expression of expression x⁷.
(2).
x¹⁵/x⁸
Simplifying,
= x⁸⁺⁷/x⁸
= x⁷
This is an equivalent expression of expression x⁷.
(3).
x¹³ / x²¹
Simplifying,
= x¹³/x¹³⁺x⁸
= 1/ x⁸
This is not an equivalent expression of expression x⁷.
(4).
x³ / x⁴
Simplifying,
= 1/ x
This is not an equivalent expression of expression x⁷.
(5).
x¹⁵ x⁸
Simplifying,
= x²¹
This is not an equivalent expression of expression x⁷.
(6).
x³x⁴
Simplifying,
= x⁷
This is an equivalent expression of expression x⁷.
Therefore, the equivalent expressions are (x²¹)¹/³, x⁷ and x¹⁵/x⁸.
To learn more about the equivalent expression;
https://brainly.com/question/28170201
#SPJ5
38 < 4x + 3 + 7 – 3x.
O A. x < 28
O B. x> 28
O C.x>4
O D. x<4
Answer:
38 < 4x + 3 + 7 - 3x
38 < x + 10
B. 28 < x
Answer:
B. x > 28
Step-by-step explanation:
38 < 4x + 3 + 7 - 3x
38 < (4x - 3x) + ( 3 + 7 )
38 < x + 10
x > 38 - 10
x > 28
Solve for f
-6f = -7f+7
f=?
Answer:
f = 7
Step-by-step explanation:
-6f = -7f+7
Add 7f to each side
-6f+7f = -7f+7f+7
f = 7
What is the measure of X
Answer:
X = 67Step-by-step explanation:
The triangles' angles are congruent.
So,
J = H
67 = 67
I = K
X = X
Make the angles add
So,
46 + 67 = 113
Subtract from total
180 - 113 = 67
The angle is 67.Hope this helped,
Kavitha
expand and simplify 3(2x-1) +2(2x+5)
Answer:
10x + 7
Step-by-step explanation:
First expand by distributing the 3 and the 2 on the outside of both parentheses:
3(2x-1) + 2(2x+5) becomes
(6x - 3) + (4x + 10)
Then combine like terms (6x + 4x and -3 + 10) to simplify:
6x + 4x - 3 + 10 = 10x + 7
if I have if I have 12 avocados that are cut in half how many avacados are there?
Answer:
you have 12 avacados
Step-by-step explanation:
The question didn't ask how many halves you had. you have this question asking you how many you have TOTAL. not cut in half. if it was in half, you would have 24 halves
Write an equation in point – slope form from the line through the given point with the given slope. (-10, -1); m=-1
Answer:
y = -x - 11
Step-by-step explanation:
We know the equation must be: y = -x + c
However we do not know what "C" is. If we plug in our x and y values then we can find out the value of C.
So:
-1 = -(-10) + c
-1 = 10 + c
so c = -11
So our equation is:
y = -x - 11
what number squared is equal to 80
Answer:
8.94427190
Step-by-step explanation:
Finding squares is quite difficult, I recommend to use a calculator.
If you take the square root of 80 you get 4sqrt 5. The decimal form of that comes out to about 8.94427
The edge of a cube whose volume is 8x cube is
Answer:
24
Step-by-step explanation:
Edge of a cube is 2x whose volume is 8x^3
Given
Volume of a cube is [tex]8x^3[/tex]
we need to find the edge length of the cube
the volume of cube formula is [tex]side^3[/tex]
[tex]a^3=8x^3\\\\\\a^3=2^3x^3\\a^3=(2x)^3\\take \; cuberoot \; \\a=2x[/tex]
So the side length of the cube is 2x
Edge of a cube is 2x whose volume is 8x^3
Learn more : brainly.com/question/14025843
-2/3a+5/6 combine like terms
Answer:
-1/6 x (4a - 5)
Step-by-step explanation:
-2/3a + 5/6
Factor the expression.
Florence's Stationery sells thank-you cards in packs of 12 and birthday cards in packages of 9. Surprisingly, the store sold the same number of each type of card this month. What is the minimum number of each card type that the store must have sold?
Answer:
36
Step-by-step explanation:
The lowest number is the least common multiple of 12 and 9.
12 = 2^2 * 3
9 = 3^2
LCM = 2^2 * 3^2 = 4 * 9 = 36
Answer: 36
Solve 10¹⁵/10⁵ Simplified and what law did you use
Apply the exponent rule x^a /x^b = x ^(a-b)
10^15 / 10^5 = 10^(15-5) = 10^10
Apple exponent rule: a^x/a^b = a^x-y
10^15/10^5 = 10^15-5 = 10^10
Best of Luck!
4x-1=4x+7 regroup/ divide by the number next to x
Answer:
x = ∞Step-by-step explanation:
Given the expression 4x-1 = 4x+7, we are to simplify the expression and find the value of x. To do that the following steps must be carried out.
Step 1: collect the like terms by regrouping the expression
4x-1 = 4x+7
4x - 4x = 7+1
0x = 8
Step 2: Dividing both sides by the number next to x
0x/0 = 8/0
x = ∞
Any constant dividing zero will always return infinity as a value.
Help me please! Ray BD is the angle bisector.What is the value of x?
Answer:
x = 4
Step-by-step explanation:
An angle bisector divides an angle into two equal parts. This means that you can set the two parts equal to each other and solve for x.
8x + 35 = 11x + 23
(8x + 35) - 35 = (11x + 23) - 35
8x = 11x - 12
8x - 11 x = (11x - 12) - 11x
-3x = -12
(-3x)/-3 = -12/-3
x = 4
Hercules has 98.627 ounces of flour. How many ounces of flour does
he have, rounded to the nearest hundredth?
Answer:
98.63 ounces of flour.
Can someone please help me with this?
Answer:
a. the total amount spent
b. 4 candy bars, we can write this as 4x
c. the total amount of money Tom spent was 22 dollars
d. the value that is constant and separate from the price and quantity of candy bars is 4 dollars, the amount he spent on the soft drink
e. Equation: 22=6x+4
(9x2 - 2x - 3) - (5x+ - X - 2)
Find the volume. A. 312 m³ B. 359 m³ C. 392 m³ D. 406 m³
Answer:
A. 312 m^3
Step-by-step explanation:
that's the answer. you have to solve the triangular prism sides first.
Find the length of the side x in this right triangle (image)
Greetings from Brasil...
Just apply trigonometry....
(Tangent)
TG A = BC ÷ AC
TG 50,1 = X ÷ 5
1,196 = X ÷ 5
X = 1,196 × 5
X ≈ 5,98Solve for x:
4 - 5x < 22 - 2x
Answer:
-6 < x
Step-by-step explanation:
4 - 5x < 22 - 2x rearrange the expression so like terms will be in the same sides of inequation
4 - 22 < -2x + 5x
-18 < 3x
-6 < x
Answer:
x > - 6 x ∈ (-6, ∞)Step-by-step explanation:
4 - 5x < 22 - 2x
+2x +2x
4 - 3x < 22
-4 -4
- 3x < 18
÷(-3) ÷(-3)
x > - 6
x ∈ (-6, ∞)
a man earns $140 in a 5 day week. what is his pay in 3 days?
Answer:
$84
Step-by-step explanation:
divide 140 by the five days and you get 28 then you multiple it by the 3 days and you get $84
His pay for 3 days would be $84.
To find the man's pay for 3 days, we can use the concept of proportionality. Since the man earns $140 in a 5-day week, we can calculate his daily earnings by dividing the weekly earnings by the number of days in the week:
Daily earnings = Weekly earnings / Number of days in the week
Daily earnings = $140 / 5 days
Now, let's calculate the daily earnings:
Daily earnings = $140 / 5 days = $28 per day
Therefore, the man's pay for 3 days would be:
Pay for 3 days = Daily earnings * Number of days
Pay for 3 days = $28 * 3 days = $84
His pay for 3 days would be $84.
To know more about proportionality:
https://brainly.com/question/8598338
#SPJ2
cual es la respuesta de (-12) + 7=
Answer:
-5
Step-by-step explanation:
-12 + 7 = -5Answer:
(-12) + 7 = -5
La respuesta de (-12) + 7 es -5
Espero eso ayude.