The surface area of the cube-shaped wooden chest which has the side edges of 4 feet shown is 96 square inches.
What is the surface area of a cube?Surface area of cube is the sum of the area of each face by which it is enclosed. The surface area of cube can be calculated with the following formula;
[tex]A=6a^2[/tex]
Here, (a) is the length of side of the cube.
You want to stain the lateral faces of the wooden chest shown. Find the area that you want to stain in square inches.
A cube-shaped wooden chest with side edges of 4 feet. Thus the surface area of it is,
[tex]A=6a^2\\A=6(4)^2\\A=96\rm\; ft^2[/tex]
Thus, the surface area of the cube-shaped wooden chest which has the side edges of 4 feet shown is 96 square inches.
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Angelo can run 3 miles in 22
minutes. At this rate, how many
miles could she run in 33 minutes?
Answer: 4.52 miles
Step-by-step explanation:
Please help!
Select the correct answer. What are the factors of this quadratic function? the graph of a quadratic function with a maximum value at the point (3,4) and zeros at 1 and 5 A. (x − 1) and (x − 5) B. (x + 1) and (x + 5) C. (x − 1) and (x + 5) D. (x + 1) and (x − 5)
The factor of the quadratic equation will be (x − 1) and (x − 5). Then the correct option is A.
What is a quadratic equation?It's a polynomial with a value of zero. There exist polynomials of variable power 2, 1, and 0 terms. A quadratic equation is an equation with one statement in which the degree of the parameter is a maximum of 2.
The graph of a quadratic function with a maximum value at the point (3,4) and zeros at 1 and 5.
Then the factor of the quadratic equation will be (x − 1) and (x − 5).
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Answer:
A.
Step-by-step explanation:
A basketball player can make 25 free throws in 3.5 minutes. How
many free throws can he make in 12 minutes?
How many solutions does the equation have? 0=3x^2-5x-5
Answer:
2 real solutions
Step-by-step explanation:
Since the degree of the polynomial is 2, then there are 2 solutions for the equation, but we don't know if they are both complex or both real.
Since the discriminant is [tex]b^2-4ac=(-5)^2-4(3)(-5)=25+60=85 > 0[/tex], then there are 2 real solutions.
Bananatown is 75 miles due east of
Appleton. The distance from
Bananatown to Cherryville is 83 miles.
How far is Appleton from Cherryville?
Answer:
8 miles
Step-by-step explanation:
because 83-75=8 miles
A rectangular garden measures by 30ft and 40ft. Surrounding (and bordering) the garden is a path 3ft wide. Find the area of this path. Be sure to include the correct unit in your answer
Answer:
312 ft²
Step-by-step explanation:
Area of the garden = Length x Width
Area of the garden = 30 x 40 = 1200ft²
Length of the garden and path = Length of the garden + 3 ft on both sides
Length of the garden and path = 30 + 3 + 3 = 36 ft
Width of the garden and path = Width of the garden + 2 ft on both side
Width of the garden and path = 40 + 3 + 3 = 46 ft
Area of the garden and path = Length x Width
Area of the garden and path = 36 x 46 = 1512 ft²
Area of the path = Area of the garden and path - Area of the garden
Area of the path = 1512 - 1200 = 312 ft²
Answer: 312 ft²
What is the value of the expression below? (4^2)^1/4
Answer:
the value for the expression for below is (4^2) ^1/4 is 2
Answer:
2
Step-by-step explanation:
Exponent law[tex]\sf \boxed{(a^m)^{n}=a^{m*n}}[/tex]
[tex]\sf (4^2)^\frac{1}{4}=4^{2*\frac{1}{4}}[/tex]
[tex]\sf = 4^{\frac{1}{2}}\\\\ = \sqrt{4}\\\\=2[/tex]solve for x
50 points. Thanks
Answer:
x = 7
Step-by-step explanation:
From the figure, we can see the figure is a right triangle. To find the value of x, we need to apply the Pythagorean Theorem.
===============================================================
Solving :
⇒ (x)² + (24)² = (x + 18)²
⇒ x² + 576 = x² + 36x + 324
⇒ 36x = 576 - 324
⇒ 36x = 252
⇒ x = 252/36
⇒ x = 7
Apply Pythagorean theorem
H²-P²=B²(x+18)²-x²=24²(x+18+x)(x+18-x)=576(2x+18)(18)=5762x+18=322x=14x=7The eccentricity of the conic section
graphed is:
a. Zero
b. Between 0 and 1
c. One
d. Greater than 1
The eccentricity of the conic section that is graphed is C. One.
What is eccentricity?It should be noted that the eccentricity of the clinic section simply means the distance from the point to its focus.
In this case, the eccentricity of the conic section that is graphed is one. The eccentricity value is usually constant for any conics.
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Answer:
The answer is B. Between 0 and 1
Step-by-step explanation:
Please help I don’t know how to do this
Step-by-step explanation:
when 2 objects are similar, that means that all the angles of one object are the same as the angles in the other object. and - the scaling factor of one pair of correlating sides is the same for all pairs of correlating sides.
therefore,
x/2.7 = 4.8/3.6 = 4/3
x = 4×2.7/3 = 4×0.9 = 3.6 m
Which expression is a factor of 12x2 29x – 8? x – 8 2x – 1 3x 8 4x 1
The factorization of the given expression is:
p(x) = (x - 2.66)*(x - 0.25)
Which expression is a factor?We have the quadratic equation:
12x^2 + 29x - 8
To get the factors we need to find the roots, then we use Bhaskara's formula:
[tex]x = \frac{-29 \pm \sqrt{29^2 - 4*(-8)*12} }{2*12} \\\\x = \frac{-29 \pm 35}{24}[/tex]
Then the solutions are:
x = (-29 + 35)/24 = 0.25
x = (-29 - 35)/24 = -2.66
Then the factors of the expression are:
(x - 2.66) and (x - 0.25)
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What is the sum of this question
Answer:
C. 7x + 45
Step-by-step explanation:
To start answering this question, let's first distribute the 6 * ( x + 7 ) so that we can add like terms to simplify.
So let's multiply the 6 out to the ( x + 7 ) to get ( 6x + 42 ).
Now the complete expression reads: 6x + 42 + ( x + 3 )
With this, we can add all the like terms( 6x and x, and 42 and 3) together.
So we end up with 6x + x + 42 + 3 = 7x + 45
So the correct answer is C. 7x + 45
what is the value of 5 in 564,242
Answer:
The value of 5 is 500,000
Step-by-step explanation:
becuse their is 5 numbers behind it making it equivilant to 500,000
Hey there!
EXPANDED FORM:
500,000
+ 60,000
+ 4,000
+ 200
+ 40
+ 02
WORD FORM:
Five hundred 6
Sixty four thousand, two hundred forty two
PLACE VALUE FORM
5: 500,000 (hundred thousand)
6: 60,000 (ten thousand)
4: 4,000 (thousand)
,
2: 200 (hundreds)
4: 40 (tens)
2: 02 (ones)
To sum it is all up {5} is in the: [hundred thousands] place
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
4. Find the value of x to the nearest tenth.
35
o
11
O
12.9
O
6.3
O
-10
Answer:
11
Step-by-step explanation:
Answer the questions below.
asapppppppppppppppppp
Answer:
a. mode
b. median
c. median
Step-by-step explanation:
the mode is the most common number
the median is when you order the numbers in order and use the middle number
There are 20 students on the student council at Nina's school. Eight of the students are in Nina's math class, 6 of the students are in her science class, and 4 students are in both her math and science classes.
If 2 members of the student council are randomly chosen, what is the probability that both are in Nina's math or science class?
Step-by-step explanation:
out of the total possibilities of 20 student council members, 8 are in Nina's math class, and 6 are in Nina's science class.
as I understand the given information, out of these 14 council members, 4 are in her math and in her science class. but this is then irrelevant for the question (and do not add more possibilities), as these 4 are already covered by the 8 and 6 in her individual classes.
remember, a probability is always
desired cases / possible cases
so, let's pick the first random choice :
the probabilty to pick one that is either in her math or her science class is
14/20 = 7/10
because there are 20 total possibilities to pick from, and 14 of these 20 are in at least one of her classes.
now let's pick the second one.
I assume the first pick has not been returned to the pool and cannot be picked a second time.
so, this time we have therefore only 19 total choices, and 13 of them are in at least one of Nina's classes.
so, the probability for the second pick is
13/19
so, the probability that both picks are in at least one of her classes is then the combination of both probabilities (they have to happen together) :
7/10 × 13/19 = 91/190 = 0.478947368...
I’ll give brainliest!
Answer:
y = -x + 4
Step-by-step explanation:
y = mx + b
m - since the line is going downwards. the slope is negative
slope = rise / run = 1 / 1 = 1 but negatuve siunce diwnawards
b - this the y - intercept (when x = 0), the point of intersect is (0, 4)
An isosceles triangle is such that each of the base angles is twice the vertical angle. find the angles of the triangle
Answer:
2x + 2x + x =180
x = 36 degree
Step-by-step explanation:
Which triangle is not similar to the other two triangles?
Answer:
First choice top-down
Step-by-step explanation:
The Similarity Theorem Side-Angle-Side it can be checked here to see what triangles are similar.
All 3 triangles have 2 congruent sides so the triangles are all isosceles.
The base angles of isosceles triangles are congruent so knowing this and that the sum of angles in a triangle is 180° we can calculate the measure of all angles.
180-20 = 160; 160/2 = 80°
180-30 = 150; 150/2 = 75°
Now we can conclude that Δ JLK is not similar with Δ MNO ≈ ΔPRQ
What is (m - 5) divided by 4 where m = 17
I don’t understand what to do, it says to find the area of the figure and I don’t know what that means.
Answer:
area is length x width multiply one side by the other
Step-by-step explanation:
Help me on this math problem please!! DUE TONIGHT!!
Answer:
48 + 2x = 120
x = length od long side.
Find the slope of the line that passes through (3, 6) and (8, 7)
Answer:
The slope of this line is 1/5
Step-by-step explanation:
You can find the answer easily by graphing the problem. In doing so, you will find the slope (rise over run) to be one over five. This is because you rise one unit, and run five.
What is 2x-x^2=1 in standard form
Answer:
Answer is in attachment
Mark brainliest pls :)
∠A and \angle B∠B are supplementary angles. If m\angle A=(3x+9)^{\circ}∠A=(3x+9)
∘
and m\angle B=(6x+27)^{\circ}∠B=(6x+27)
∘
, then find the measure of \angle A∠A.
78 is the answer
Step-by-step explanation:
The two angles are complementary so m<A + m<B = 90
we are given m<A = 3x + 9 and m<B = x - 11
substituting we get 3x + 9 + x - 11 = 90
4x - 2 = 90
4x = 92
x = 23
m<A = 3x + 9 = 3(23) + 9 = 78
A circle has a diameter of 12 units, and its center lies on the x-axis. what could be the equation of the circle? check all that apply. (x – 12)2 y2 = 12 (x – 6)² y² = 36 x² y² = 12 x² y² = 144 (x 6)² y² = 36 (x 12)² y² = 144
The equation of a circle with radius of 6 units and center on the x axis could be (x - 6)² + y² = 36
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
The circle has a diameter of 12 units. Hence, radius = 12/2 = 6 units.
The center of the circle is at x axis (*, 0), the equation could be:
(x - 6)² + (y - 0)² = 6²
(x - 6)² + y² = 36
The equation of a circle with radius of 6 units and center on the x axis could be (x - 6)² + y² = 36
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If Hal usually mows 21 yards per week, how many yards does he average per day?
(will mark brainliest)
Answer:
3 yards per weekStep-by-step explanation:
21÷7=3
3 yards per week
hope this helps
Answer:
3 yards per day
Step-by-step explanation:
Given :
Hal mows an average of 21 yards per weekTo Remember :
There are 7 days in a weekSolving :
Avg. yards per day = Avg. yards per week / No. of days in a weekAvg. yards per day = 21/7Avg. yards per day = 3 yards per dayTriangle fgh is an isosceles right triangle with a hypotenuse that measures 16 units. an altitude, line segment g j, is drawn from the right angle to the hypotenuse. what is the length of line segment g j? 2 units 4 units 6 units 8 units
The square of the altitude is equal to the product of the base of the triangles
Triangular altitude theoremThe square of the altitude is equal to the product of the base of the triangles. The length of line segment GJ is 8units
According to the theorem;
GJ² = HJ*JF
Determine the value of x using the pythagorean theorem
[tex]x^2+x^2=16\\2x^2=16\\x^2=8\\x=\sqrt{8}\\x=2\sqrt{2}[/tex]
According to the theorem;
GJ² = HJ*JF
HJ + JF = 16
Since HJ = JF, hence
HJ = JF = 8
Substitute
GJ² = HJ*JF
GJ² = 8 * 8
GJ² = 64
GJ = 8units
Hence the length of line segment GJ is 8units
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Answer:
8
Step-by-step explanation:
2
What value of x makes the equation below true?
3.3x + 3.0 = 16.2
A 9.9
B. 5.82
C. 4
D. 1.64
how do you show that 2/11 is a repeating decimal
