Explanation
the x interceps is the point where the lines crosses the x-axis
it is when y=0, so
when y=0
\(\begin{gathered} 1x+4y=28 \\ x+4(0)=28 \\ x+0=28 \\ x=28 \end{gathered}\)so, the coordinate of the x intercept is
\((28,0)\)I hope this helps you
I’ll give you 15 points if you know the answers to this question
It would be B)no.
Hope This Helps!
50 Points! Multiple choice algebra question. Photo attached. Thank you!
Answer:
B. 3188.5 cubic inches.
Step-by-step explanation:
The volume of a cone is calculated using the following formula:
Volume = (1/3) * π * r² * h
Where:
π is the mathematical constant pi, approximately equal to 3.14.r is the radius of the base of the cone.h is the height of the cone.In this problem, we are given that r = 17 inches and S.h = 20 inches.
First we need to find height h.
py using Pythagorous theorem,we get
c²=a²+b²
here c= slight height and a is radius
20²=17²+b²
20²-17²=b²
111=b²
b=√(111)
Plugging these values into the formula, we get:
Volume = ⅓*π* 17² *√(111) = 3188.5 cubic inches
Therefore, the volume of the cone is 3188.5 cubic inches.
Each face of a cube is a square with a side length of 3 meters. What is the total area of all the faces of the cube?
Answer: 54
Step-by-step explanation:
A cube is a perfect square to find the area use L x W and if the length is 3, the width is 9
A cube has 6 sides, so 9 x 6 = 54
The total area of all the faces of the cube is 54 square meters.
Let's dive into finding the total area of all the faces of a cube.
A cube is a special type of three-dimensional shape where all its sides (called faces) are equal squares.
In your case, each face has a side length of 3 meters.
Now, to find the total surface area of the cube, we need to calculate the area of each face and then add them up.
The formula to find the area of a square is side length squared, which is \(\(A = s^2\)\), where \(\(A\)\) is the area and \(\(s\)\) is the side length.
So, for your cube, each face's area is \(\(3^2 = 9\)\) square meters. Since a cube has 6 faces,
we simply multiply the area of one face by the number of faces: \(\(6 \times 9 = 54\)\) square meters.
To sum it up, the total area of all the faces of the cube is 54 square meters.
This is calculated by finding the area of one face and then multiplying it by the total number of faces.
In this case, each face has an area of 9 square meters, and a cube has 6 faces, resulting in a total area of 54 square meters.
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Graph the image of the figure after a dilation with a scale factor of 1/3 centered at the point (0, 2) . Use the Polygon tool to graph the dilated figure.
The three vertices will give us the dilated figure.
How to Graph the image of the figure after a dilation?First we find the slope of the line that would pass through the point of dilation, (-3, 0), and each vertex.
From (-3, 0) to (5, 4), the slope would be
m = (4-0)/(5--3) = 4/8
Since the scale factor is 1/2, this means each part of the slope would be multiplied by this scale factor:
(4(1/2))/(8(1/2)) = 2/4
This means from our point of dilation we count up 2 and over 4; this puts the new point at (-3+4, 0+2) = (1, 2).
From (-3, 0) to (3, 8) the slope is
m = (8-0)/(3--3) = 8/6
Multiplying the rise and run by 1/2, we have
(8(1/2))/(6(1/2)) = 4/3
This means the dilated point would be up 4 and over 3 from (-3, 0), putting it at (-3+3, 0+4) = (0, 4).
From (-3, 0) to (-5, 4), the slope is
m = (4-0)/(-5--3) = 4/-2.
Multiplying the rise and run by 1/2, we have
(4(1/2))/(-2(1/2)) = 2/-1
This means the dilated point would be up 2 and over -1 from (-3, 0), putting it at (-3+-1, 0+2) = (-4, 2).
These three vertices give us the dilated figure.
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What is the surface area of this rectangular pyramid? 8ft 9ft 8ft
The surface area of the given rectangular pyramid is approximately 237.24 square feet.
To calculate the surface area of a rectangular pyramid, you need to consider the base and the four triangular faces.
The base of the pyramid is a rectangle, so its surface area is given by the formula: length × width.
Given that the length of the base is 8 feet and the width is 9 feet, the area of the base is 8 × 9 = 72 square feet.
To calculate the surface area of the four triangular faces, we need to find the area of each triangle and then sum them up.
The area of a triangle can be calculated using the formula: 0.5 × base × height.
In this case, the base of each triangle is the same as the width of the rectangular base (9 feet), and the height is the slant height of the pyramid.
To find the slant height, we can use the Pythagorean theorem, since the slant height, the height of the pyramid, and the width of the base form a right triangle.
The slant height can be found using the formula: √(height² + (0.5 × width)²).
Given that the width is 9 feet and the height is 8 feet, the slant height can be calculated as follows:
slant height = √(8² + (0.5 × 9)²)
slant height = √(64 + 20.25)
slant height = √84.25
slant height ≈ 9.18 feet
Now, we can calculate the area of each triangle:
area of triangle = 0.5 × base × height
area of triangle = 0.5 × 9 × 9.18
area of triangle ≈ 41.31 square feet
Since there are four triangular faces, the total surface area of the pyramid is:
total surface area = area of base + 4 × area of triangles
total surface area = 72 + 4 × 41.31
total surface area = 72 + 165.24
total surface area ≈ 237.24 square feet
Therefore, the surface area of the given rectangular pyramid is approximately 237.24 square feet.
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a can contains 15/16 pound of vegetables.One serving of these vegetables weigh 1 fourth pound.
A. 15/64
B. 4/15
C. 1 3/16
D. 3 3/4
The number of servings that can be obtained from the can is 3 3/4.
What is equation?An equation is a formula that links two statements and uses the equals sign (=) to indicate that the statements are equivalent. A mathematical statement proving the equality of two algebraic expressions is called an equation. For instance, the equal sign divides the variables 3x + 5 and 14 in the equation 3x + 5 = 14. The relationship between the two sentences that appear on opposing sides of a letter is expressed mathematically. The single variable and the symbol are typically the same. Like 2x - 4 Equals 2, for example.
To find the number of servings that can be obtained from the can, we need to divide the total weight of vegetables in the can by the weight of one serving:
Number of servings = (15/16) ÷ (1/4)
= (15/16) × (4/1)
= 60/16
= 15/4
Therefore, the number of servings that can be obtained from the can is 15/4.
None of the answer choices match this result exactly, but we can simplify 15/4 to 3 3/4, which is answer choice D.
So the answer is D. 3 3/4.
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question is pictured below, need to learn steps to solve this and I dont have my book with me
However, I can still give you some general steps to solve a math problem in 200 words.
Step 1: Read the problem thoroughly and understand what it's asking you to find. This may involve identifying the given information and what you need to find. Also, identify any constraints on the problem, like time or cost.
Step 2: Plan how to solve the problem. Think about what mathematical operations or formulas you can use to find the answer. Make a list of the steps you need to take to solve the problem. Also, determine the units for your answer.
Step 3: Solve the problem. Use the mathematical operations or formulas you've identified in step 2 to find the answer. Show all of your work, including any calculations, so that you can easily check your work later.
Step 4: Check your answer. Make sure that your answer makes sense and that it satisfies any constraints given in the problem. Also, check that your units are correct. If your answer doesn't make sense, go back and review your work to see if you made an error.
Step 5: Reflect on what you've learned. Think about what you did well and what you could improve upon in future problem-solving situations. This will help you become a more effective problem solver in the future.
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Antonio is wrapping a birthday gift for his brother. He starts with 2 meters of ribbon. Then, he cuts off 27 centimeters to decorate the gift. How many centimeters of ribbon does he have left now?
Answer: 173 centimeters of ribbon left
Step-by-step explanation:
Antonio starts with 2 meters of ribbon, which is equal to 200 centimeters (since 1 meter = 100 centimeters). He cuts off 27 centimeters to decorate the gift, so he is left with:
200 - 27 = 173 centimeters
Therefore, Antonio has 173 centimeters of ribbon left.
Solve the inequality and graph the solution on the line provided. 6x-6<-30
The solution to the inequality 6x - 6 < -30 is x < -4, and it is graphically represented as a closed circle at -4 and shading to the left of -4 on the number line.
To solve the inequality 6x - 6 < -30, we can follow these steps:
Step 1: Add 6 to both sides of the inequality to isolate the variable:
6x - 6 + 6 < -30 + 6
6x < -24
Step 2: Divide both sides of the inequality by 6 to solve for x:
(6x)/6 < (-24)/6
x < -4
The solution to the inequality is x < -4. This means that any value of x less than -4 will satisfy the inequality.
To graph the solution on the number line, we represent -4 as a closed circle (since it is not included in the solution) and shade the region to the left of -4 to indicate all values less than -4.
On the number line, mark a point at -4 with a closed circle:
<--------●-----------------
Then, shade the region to the left of -4:
<--------●================
The shaded region represents the solution to the inequality x < -4.
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If we recall that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side, which lengths make sense for possible values of b? Select two options.
Answer:
Step-by-step explanation:
the first ine make sense to me
if not right sorry
Answer:
0.5in and 2in
Step-by-step explanation:
It is the answer
What kind of transformation is illustrated in this figure?
The transformation illustrated in the figure is translation.
What is Translation?Translation is a Transformation process in which the size or shape of a figure is not changed rather it only changes the coordinates of the vertices that make up that shape by moving them from one point to another.
Analysis:
Both shapes are congruent, since all the vertices remain in their respective positions even though they were moved and no change in the shape or size, then the transformation process is Translation.
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Find the value of 2/5 -3/5
Hi, teacher I was absent these days and I didn’t understand anything about this lesson and I need help this is not count as a test it’s just hw please help thanks a lot The first question
The half formula for the cosine is as follows:
\(\cos\frac{\theta}{2}=\pm\sqrt{\frac{1+\cos\theta}{2}}\)So, using 210°, we will be able to find 105°, which is half of 210°:
\(\begin{gathered} \cos\frac{210\degree}{2}=\pm\sqrt{\frac{1+\cos210\operatorname{\degree}}{2}} \\ \cos105\operatorname{\degree}=\pm\sqrt{\frac{1-\frac{\sqrt{3}}{2}}{2}}=\pm\sqrt{\frac{\frac{2-\sqrt{3}}{2}}{2}}=\pm\sqrt{\frac{2-\sqrt{3}}{4}}=\pm\frac{\sqrt{2-\sqrt{3}}}{2} \end{gathered}\)Now, we just need to figure the sign out.
The cosine gives positive values for the first and fourth quadrant and gives negative values for the second and third quadrants. The angle 105° is between 90° and 180°, which means it is in the second quadrant and its cosine can only be negative.
Thus, the exact value is:
\(\cos105\operatorname{\degree}=-\frac{\sqrt{2-\sqrt{3}}}{2}\)We can simplify a bit by trying to make a binomial square inside the first square root.
The goal is to have something like:
\((\sqrt{3}-b)^2=3-2b\sqrt{3}+b^2\)To make this work, we can, for instance, multiply the inside of the root by 2/2, which won't change its value, by will make a 2 appear on the square root of 3:
\(\cos105\degree=-\frac{\sqrt{2-\sqrt{3}}}{2}=-\frac{\sqrt{\frac{4-2\sqrt{3}}{2}}}{2}=-\frac{\sqrt{\frac{3-2\sqrt{3}+1}{2}}}{2}=-\frac{\sqrt{\frac{(\sqrt{3}-1)^2}{2}}}{2}=-\frac{\frac{\sqrt{(\sqrt{3}-1)^2}}{\sqrt{2}}}{2}=-\frac{\sqrt{(\sqrt{3}-1)^2}}{2\sqrt{2}}\)Now, we can cancel the square root and the square, but this makes us have to consider again both + and - possibilities:
\(\cos105\degree=\pm\frac{\sqrt{3}-1}{2\sqrt{2}}\)Again, we know that the value of this cosine has to be negative. The way it is, both the numerator and the denominator are positive, so for the cosine to be negative the front sign has to be negative.
So, the final value is:
\(\cos105\degree=-\frac{\sqrt{3}-1}{2\sqrt{2}}\)Después de leer un libro sobre el antiguo
Egipto, Cassie decidió construir con cartón un
modelo de una pirámide.
30 cm
25 cm
Cassie need to make the model is 2250 cm²
What is square pyramid?A square pyramid has a square base and four lateral faces in geometry. A pyramid is a polyhedron with a base and three or more triangular faces that meet above it .
The complete question is attached below:
We know,
A= a(a+ √(a²+4h²))
and, a =25cm, h=30 cm
So,
A= 25(25+ √(25²+4*30²))
=25(25+65)
= 2250 cm²
Hence, Cassie need to make the model is 2250 cm²
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The physician’s order reads to administer Lasix 80 mg PO STAT. You have Lasix 20 mg tablets on hand. How many tablets will you administer to the patient ?
The nurse should administer 4 Lasix 20 mg tablets to the patient to achieve the prescribed dose of 80 mg.
To determine the number of Lasix 20 mg tablets that should be administered to the patient, we need to calculate how many tablets are equivalent to the prescribed dose of 80 mg.
Given that each Lasix tablet contains 20 mg of the medication, we can divide the prescribed dose (80 mg) by the dosage strength of each tablet (20 mg) to find the number of tablets needed.
Number of tablets = Prescribed dose / Dosage strength per tablet
Number of tablets = 80 mg / 20 mg
Number of tablets = 4 tablets
Therefore, the nurse should administer 4 Lasix 20 mg tablets to the patient to achieve the prescribed dose of 80 mg.
It is important to note that this calculation assumes that the Lasix tablets can be divided or split if necessary. However, it is crucial to follow the specific instructions provided by the prescribing physician or consult with a pharmacist if there are any concerns about the appropriate administration of the medication.
Additionally, it is important to consider any additional instructions, such as the frequency and timing of administration, as specified by the physician's order.
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2/7 letts gooo keep it goo yall doing great
Answer:
all of them
Step-by-step explanation:
I'm pretty surep
While shopping for clothes, Jaclyn spent $41 less than 2 times what Curtis spent. Jaclyn spent $27. Write and solve an equation to find how much Curtis spent. Let x represent how much Curtis spent.
Answer:
Step-by-step explanation:
qiofuqbfqobdbdbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb
an airplane flew for one hour and landed 100 miles north and 80 miles east from its origin. what was the distance traveled, speed and angle of direction from its origin?
The distance traveled by airplane is 180 miles.
The speed of the airplane is 3 miles per minute and the angle of direction from the origin is 51.34°
The airplane landed 100 miles north and 80 miles east from its origin and it flew for one hour.
Then, the total distance traveled by airplane will be:
= 100 miles + 80 miles = 180 miles.
The speed can be defined as the distance traveled by the total time taken.
Speed = distance/time
Speed = 180 miles/ 1 hour
Speed = 180 miles/60 minutes
Speed = 3 miles per minute
The angle of direction from its origin will be:
tan (x) = 100 miles/80 miles
x = tan⁻¹ ( 100/80)
x = tan⁻¹ ( 10/8) = tan⁻¹ ( 5/4)
x = 51.34°
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Mr. Litterski creates a ball from rubber bands.
The circumference of the ball is 9.4 inches. What is the approximate surface area and volume of the ball? Round your answers to the nearest unit. HELP PLEASE!!
Answer:
The surface area of the ball is of 29 square inches.
The volume of the ball is of 15 cubic inches.
Step-by-step explanation:
The ball has an spherical format:
Circumference of a sphere:
The circumference of a sphere is 6.2832 times the radius.
Surface area
\(A = 4\pi r\)
In which r is the radius.
Volume:
\(V = \frac{4\pi r^3}{3}\)
The circumference of the ball is 9.4 inches.
So the radius is:
\(6.2832r = 9.4\)
\(r = \frac{9.4}{6.2832} = 1.53\)
Surface area
\(A = 4\pi(1.53)^2 = 29.3\)
Rounding to the nearest unit, the surface area of the ball is of 29 square inches.
Volume:
\(V = \frac{4\pi (1.53)^3}{3} = 14.9\)
Rounding to the nearest unit, the volume of the ball is of 15 cubic inches.
Question
What is the height of a triangle with an area of 893 square inches and a base of 38 inches?
Answer:
the height of the triangle is 47 inches
Which of the following equals sin A?
Ignore my answer.
Answer:
You are correct it is A. cos B
Step-by-step explanation:
-5(k + 4) > 2 - (3k + 6)
Hi! Just wondering if you could check if i got this right?
Answer:
Step-by-step explanation:
the answer is x = 24
3/4x+4=22
3x/4+4=22
3x/4+4=22
3x/4+4x4/4=22
3x/4+4x4/4=22
3x+4x4/4=22
x=24
Which of these tables is a ratio table? A 2-column table has 3 rows. Column 1 is labeled A with entries 2, 4, 5. Column 2 is labeled B with entries 5, 7, 11. A 2-column table has 3 rows. Column 1 is labeled A with entries 1, 3, 6. Column 2 is labeled B with entries 4, 12, 24. A 2-column table has 3 rows. Column 1 is labeled A with entries 1, 2, 3. Column 2 is labeled B with entries 3, 8, 9. A 2-column table has 3 rows. Column 1 is labeled A with entries 3, 6, 9. Column 2 is labeled B with entries 7, 13, 17.
Answer:
its b
Step-by-step explanation:
Answer: The answer is B
Step-by-step explanation: ED 2022!
Plsss helpppppppppppp
Answer:
I’m not sure if this is correct but I believe it’s \(78ft^{2}\)
Step-by-step explanation:
1.I add 4+4+5 for the W
2.I add 3+3 for the H
3.I times 13*6 which equals 78
I basically did W*H=A
I’m sorry if it’s not right, i tried -_-
30 points! how many students are expected to wear boots?
Answer:
960
Step-by-step explanation:
80% = 0.8
0.8 * 1200 = 960
Answer:
960
how: 80% = 0.8 then: 0.8 * 1200 = 960
Given an interest rate of 12% compounded yearly, Find the equivalent rate per year compounded monthly.
Answer:
Answer below in the picture
I hope my answer helps.
Corresponding Angles are congruent. Which angle corresponds with 3? 1/2 3/4 fine 7/8 5 6 [?]
Answer:
5, 8 and 2
Because it has the same angel as 3 there for it's 5 , 8 and 2
Simplify 72- (-10) + 7) x4
Step-by-step explanation:
= 72+10+7×4
= 72+17×4
= 89×4
= 356 ans.
Hope this helps you!
2 1/3 x (-3 2/7) what does it equal I’m doing “multiplying signed fractions”