Answer:
x is less than or equal to 3.5
Step-by-step explanation:
For this you can any variable but let’s use d representing the distance that Jonathan ran.
Hmm
D_>3.5+5
In other words d is less than or equal to 3.5 plus 5
Hope this helped u :)
How do you solve for a side in right triangles?
Answer:
pythagorean theorem
Step-by-step explanation:
a²+b²=c²
Pythagorean theorem
our product is 72. the difference between us is 1. what number are we?
Answer: 8 and 9
Step-by-step explanation:
8 times 9 equals 72
9 minus 8 equals 1.
10. Jaime is running a marathon, which is a 26 2/5 Mile Race. At 6 3/4 miles from the start, she passes Friends cheering on her. After she passes a water stop 9 1/2 miles farther along the route, How Far From The Finish Line is Jaime?
Answer:
A
Step-by-step explanation:
6 3/4 + 9 1/2 = 65/4
26 2/5 - 65/4 = 203/20 or 10 3/20
Can someone please help me
Answer:
Lines RQ and SP are perpendicular to SR
Step-by-step explanation:
SR are parallel to PQ so that means that RQ and SP are perpendicular to SR
what is the inverse of y=4x-16
Answer:
x=y/4 + 4
Step-by-step explanation:
y=4x-16
-need to isolate x
add 16 to both sides.
y+16=4x
divide by 4 on both sides.
y/4 + 4 = x
Evaluate the following expression 2+(3-2x2)x1
Answer:
answer: 1
Step-by-step explanation:
using pemdas you would first go into the parenthesis and multiply 2 by 2 the subtract that from three giving you -1. then, you would multiply that by 1 and add that to 2.
A solid piece of wood shaped as a cylinder with an 8-centimeter diameter is cut as shown.
What is the surface area of the figure? Express the answer in terms of π.
96 + 64π cm2
96 + 80π cm2
96 + 112π cm2
96 + 128π cm2
Answer:
The surface area of the figure is 96 + 64π ⇒ 1st answer
Step-by-step explanation:
* Lats revise how to find the surface area of the cylinder
- The surface area = lateral area + 2 × area of one base
- The lateral area = perimeter of the base × its height
* Lets solve the problem
- The figure is have cylinder
- Its diameter = 8 cm
∴ Its radius = 8 ÷ 2 = 4 cm
- Its height = 12 cm
∵ The perimeter of the semi-circle = πr
∴ The perimeter of the base = 4π cm
∵ The area of semi-circle = 1/2 πr²
∴ The area of the base = 1/2 × π × 4² = 8π cm²
* Now lets find the surface area of the half-cylinder
- SA = lateral area + 2 × area of one base + the rectangular face
∵ LA = perimeter of base × its height
∴ LA = 4π × 12 = 48π cm²
∵ The dimensions of the rectangular face are the diameter and the
height of the cylinder
∴ The area of the rectangular face = 8 × 12 = 96 cm²
∵ The area of the two bases = 2 × 8π = 16π cm²
∴ SA = 48π + 16π + 96 = 64π + 96 cm²
* The surface area of the figure is 96 + 64π
Answer:
A
Step-by-step explanation:
edge 2021
What is the x-intercept of the equation y=-5x+1,450?
Substitute the value for y as 450
450=-5x+1
Solve for x
450-1=-5x
449=-5x
89.8=-x
x=-89.8
Answer:
x = 290
Step-by-step explanation:
The x- intercept is the point on the x- axis where the line crosses.
substitute y = 0 into the equation and solve for x
- 5x + 1450 = 0 ( subtract 1450 from both sides )
- 5x = - 1450 ( divide both sides by - 5 )
x = 290 ← x- intercept
line crosses x- axis at (290, 0)
Triangle ABC is similar to triangle WYZ. select all angles whose tangent equals 3/4
Answer:
∠B
∠Y
Step-by-step explanation:
we know that
In the right triangle ABC
[tex]tan(B)=\frac{AC}{BC}[/tex] ----> opposite side to angle B divided by the adjacent side to angle B
substitute the values
[tex]tan(B)=\frac{3}{4}[/tex]
Remember that
If two triangles are similar, then the corresponding sides are proportional and the corresponding angles are congruent
so
∠A=∠W
∠B=∠Y
∠C=∠Z
therefore
[tex]tan(B)=tan(Y)[/tex]
Base on the fact that the triangle ABC and WYZ are similar, the angles whose tangent equals 3 / 4 are ∠B and ∠Y
What are similar triangles?Similar triangle are only different in sizes but are of the same shape.
Similar triangles, corresponding sides are always in the same ratio. Corresponding angles of similar triangles are always congruent. Therefore,
∠A = ∠W
∠B = ∠Y
∠C = ∠Z
Therefore, let's find all angles in the similar triangles whose tangent is equal to 3 / 4 .
tan ∅ = opposite / adjacent
Since,
tan B = 3 / 4
Then
tan Y = 3 / 4
Therefore,
The angles whose tangent equals 3 / 4 are ∠B and ∠Y
learn more on similar triangle here: https://brainly.com/question/11969453
Find all solutions for a triangle with a=26, b=29, and A=58
Answer:
i think its C
Step-by-step explanation:
Final answer:
To solve the triangle with sides a=26, b=29, and angle A=58 degrees, apply the Law of Sines to find another angle, use the sum of angles to find the third angle, and then the Law of Cosines to find the remaining side, ensuring all conditions are satisfied for a valid triangle.
Explanation:
To find all solutions for a triangle given a=26, b=29, and A=58 degrees, we use the Law of Sines, which relates the lengths of sides to the sine of their opposite angles. Since sin A > sin a (opposite side to angle A) would result in no solution and considering the given values, we don't encounter this issue. Instead, we have:
sin B / b = sin A / a
Rearranging for B, we have:
B = sin⁻¹(sin A / a × b)
Plugging in our numbers:
B = sin⁻¹((sin 58°) / 26 × 29)
Once B is calculated, we can find angle C since the interior angles of a triangle sum to 180 degrees. Following that, we can use the Law of Cosines to find the third side, c. The process is:
Calculate B using the Law of Sines.Calculate C by subtracting A and B from 180 degrees.Calculate c using the Law of Cosines: c² = a² + b² - 2ab cos C.After finding all angles and sides, verify the solution by checking if the interior angles sum to 180 degrees and the sides satisfy the Triangle Inequality Theorem.
30 POINTS! x + 1 = 2 ÷ x + 1
In the equation above, which choice is a possible value of x + 1?
A) 1 - √2
B) √2
C) 2
D) 4
For this case we have the following equation:
[tex]x + 1 = \frac {2} {x + 1}[/tex]
We must find the value of [tex]x + 1[/tex]:
Multiplying both sides of the equation by[tex]x + 1:[/tex]
[tex](x + 1) ^ 2 = 2[/tex]
Applying square root on both sides of the equation to eliminate the exponent:
[tex]x + 1 = \sqrt {2}[/tex]
Answer:
Option B
Answer: B
Step-by-step explanation:
An equation is written to represent the relationship between the temperature in Alaska during a snow storm, y, as it relates to the time in hours, x, since the storm started. A graph of the equation is created. Which quadrants of a coordinate grid should be used to display this data? Quadrant 1 only
Answer:
1 and 4
Step-by-step explanation:
The ratio of 3 to 4 and the ratio of 4 to 3____ the same number. A)Are or B)are not
Answer: Option B
Step-by-step explanation:
By definition, the ratio is a comparison between two different things. It can be written in:
Odd notation
[tex]a:b[/tex]
Fractional notation
[tex]\frac{a}{b}[/tex]
Or in words:
[tex]a\ to\ b[/tex]
Given the ratio 3 to 4 and the ratio of 4 to 3, you can rewrite them the fractional form:
[tex]\frac{3}{4}\\\\\frac{4}{3}[/tex]
To know if these ratios are the same number, divide the numerator by the denominator of each one of them:
[tex]\frac{3}{4}=0.75\\\\\frac{4}{3}=1.33[/tex]
Therefore, the ratio of 3 to 4 and the ratio of 4 to 3 ARE NOT the same number.
If you can explain your answer that’d be great!! Thank you!
Answer:
[tex]A(t)=A_{0}e^{\frac{ln(\frac{1}{2})}{22}t}[/tex]
Step-by-step explanation:
This half life exponential decay equation goes by the formula:
[tex]A(t)=A_{0}e^{kt}[/tex]
Where
[tex]k=\frac{ln(\frac{1}{2})}{Half-Life}[/tex]
Since half life is given as 22, we plug that into "Half-Life" in the formula for k and then plug in the formula for k into the exponential decay formula:
So,
[tex]k=\frac{ln(\frac{1}{2})}{Half-Life}\\k=\frac{ln(\frac{1}{2})}{22}[/tex]
Now
[tex]A(t)=A_{0}e^{\frac{ln(\frac{1}{2})}{22}t}[/tex]
third choice is correct.
the numbers of points scored by a football team in 7 different games are
26, 38, 33, 20, 27,3, and 28. For numbers 4a-4c select true or false to
indicate whether the statement is correct.
4a.
The outlier in the data set is 3.
O True
O False
4b. The difference between the
outlier and the median is 24.
O True
O False
4c.
The outlier in this set of data
affects the mean by increasing it.
O True
O False
A. True
B. False
C.true
find the 107 terms of sequence -9,-5,-1,3,7
Answer:
415
Step-by-step explanation:
the nth term of the sequence is -13 + 4n
the sequence is an arithmetic progression with nth term a + (n - 1)d
a = -9, d = a5- a4 = 7 -3 =4
nth = -9 + (n -1) 4
= -9 + 4n -4
= -13 + 4n
hence the 107th term; -13 + 4*107
-13 + 428 = 415
1 2/7 divide (-2 1/4)
The answer is -4/7 or in decimal it’s -0571429
Water and orange squash is mixed in the ratio 7 : 4 Find how much water is needed to dilute 120 cl of orange squash.
Answer:
210
Step-by-step explanation:
Divide 120 by 4 and get 30 and multiply 7 by 30 and you get 210
Final answer:
To dilute 120 cl of orange squash with a ratio of 7:4 (water to squash), you need 210 cl of water. The total mixture will be 330 cl (7+4 parts), of which 120 cl is the squash and the remainder is water.
Explanation:
The student is asking how much water is needed to dilute 120 cl of orange squash if the mixture ratio of water to orange squash is 7:4. To solve this, you need to work with ratios.
First, add the parts of the ratio together: 7 (water) + 4 (orange squash) = 11 parts in total. Now, find out how many parts of the total mixture the 120 cl of orange squash represents. Since the ratio of orange squash is 4 parts, this means that 120 cl is 4 parts of the total mixture.
We can then set up the proportion: 4 parts / 11 parts total = 120 cl / total mixture in cl. Solving for the total mixture gives us: 11 parts * 120 cl / 4 parts = 330 cl.
Finally, to find out how much water is needed, subtract the volume of orange squash from the total mixture volume: 330 cl - 120 cl = 210 cl of water.
Find the rate of change of the function h(x)=2x^2 in the interval 2<_ x<_4
[tex]\bf slope = m = \cfrac{rise}{run} \implies \cfrac{ f(x_2) - f(x_1)}{ x_2 - x_1}\impliedby \begin{array}{llll} average~rate\\ of~change \end{array}\\\\[-0.35em] \rule{31em}{0.25pt}\\\\ h(x)= 2x^2\qquad 2\leqslant x \leqslant 4 \qquad \begin{cases} x_1=2\\ x_2=4 \end{cases}\implies \cfrac{h(4)-h(2)}{4-2} \\\\\\ \cfrac{2(4)^2~~-~~2(2)^2}{2}\implies \cfrac{32-8}{2}\implies \cfrac{24}{2}\implies 12[/tex]
Can you please help me.
Answer:
7)60
8)1/6
9)9
10)11.5
11)14.4
Step-by-step explanation:
Answer:divide
Step-by-step explanation:
how many points out of 416 do i need to get to get a 60% in class
Right now I have 153.
Answer: 249.6 so 250
Step-by-step explanation: Take 416 times it by 0.6 Have a nice day. Hope it helped!
You currently have a 36%.
You need 249-250% to get a 60% in your class.
Best of luck!
Which strategies can be used to solve this problem? Marcus bought books for his vacation. He bought a mystery book for $14, a fantasy novel for $25, and 3 biographies that cost $6 each. How much money did Marcus spend on the books altogether? Choose all answers that are correct. A. Translate into an equation. 14 + 25 + 6 = n B. Work backward. Start with $6 and add this amount to $25 and $14. Multiply the sum by 3 to get the amount Marcus spent. C. Use logical reasoning. Think that Marcus bought a total of 5 books. Multiply $6 by 3 to get the cost of the biographies. Add this amount to the cost of the two other books ($14 and $25) to get the total amount Marcus spent. D. Draw a diagram. Draw 5 rectangles to represent the 5 books Marcus bought. Put $14 in one rectangle and $25 in another rectangle. Write $6 in each of the remaining 3 rectangles. Add the 5 amounts together to get the total amount Marcus spent.
Answer: c is your answer
Step-by-step explanation:
If f(x) = 1-x which value is equivalent to |f(I)|
Answer:given that
F (x)=1-x
Step-by-step explanation:
Answer:
The value of |f(i)| is √2.
Step-by-step explanation:
The given function is
[tex]f(x)=1-x[/tex]
We need to find the value of |f(i)|.
Substitute x=i in the given function.
[tex]f(i)=1-i[/tex]
Taking modulus on both the sides.
[tex]|f(i)|=|1-i|[/tex]
Using the formula for modulus of a complex number, we get
[tex]|f(i)|=\sqrt{(1)^2+(-1)^2}[/tex] [tex][\because |a+ib|=\sqrt{a^2+b^2}][/tex]
[tex]|f(i)|=\sqrt{1+1}[/tex]
[tex]|f(i)|=\sqrt{2}[/tex]
Therefore the value of |f(i)| is √2.
how many millimeters are in a centimeter
Answer:
1 centimeter = 10 millimeters
Step-by-step explanation:
we have to find about how many millimeters are in a centimeter.
We know that 1 centimeter = 10 millimeters
or 10 millimeters = 1 centimeter
divide both sides by 10
or \frac{10}{10} millimeters = \frac{1}{10} centimeter
or 1 millimeters = 0.1 centimeter
But we need millimeters in centimeters so we should write :
final answer as 1 centimeter = 10 millimeters.
what is the quotient when x^3 -5x^2 + 3x -8 is divided by x-3 ?
For this case we have that the parts of a division are:
Dividend, divisor, quotient and remainder.
To make the division of polynomials, we must build a quotient that when multiplied by the divisor (and when the sign is changed), eliminate the terms of the dividend until reaching the remainder of the division.
It must be fulfilled that:
[tex]Dividend = Quotient * Divider + Remainder[/tex]
Then, if we look at the attached figure, the quotient is:
[tex]x ^ 2-2x-3[/tex]
Answer:
[tex]x ^ 2-2x-3[/tex]
Find the value of x to the nearest tenth tan x =5
Answer:
x ≈ 78.7° (in degree)
x ≈ 1.4 (in radians)
Step-by-step explanation:
Given in the question an equation
tan(x) = 5
x = [tex]tan^{1}(5)[/tex]
x = 78.69
x ≈ 78.7°
In radian:
x ≈ 1.4
Answer:
The correct answer is x = 78.7°
Step-by-step explanation:
It is given that,
Tan x = 5
To find the value of x
If tan ∅ = x then ∅ = tan⁻¹ x =
Here we have tan x = 5
x = tan⁻¹ 5 = 78.69 ≈ 78.7°
Therefore the value of x = 78.7°
The correct answer is 78.7°
Which statement best explains why the equation X +2=3x-14 can be used to slice for x ?
Answer:c
Diagonals bisect each other
Step-by-step explanation:
This cute the diagonal into two equal parts
Answer: Diagonals of a rhombus bisect each other
Step-by-step explanation:
i got that right
A rectangular room is 2 times as long as it is wide, and its perimeter is 30 meters. Find the dimension of the room.
Answer:
5 by 10
Step-by-step explanation:
We know that the equation of a perimeter of a recangle is 2(l)+2(w), l being length and w being width. We know that l=2w. So the perimeter of this room would be:
2(2w)+2(w)=30
4w+2w=30
6w=30
w=5
l=2w
l=10
the dimensions are 5 by ten
The dimensions of the rectangular room with a perimeter of 30 meters and length twice its width are 5 meters wide and 10 meters long.
Explanation:The subject matter of your question falls into the category of Mathematics, specifically dealing with basic geometry and algebra. You want to find the width and length of a rectangular room given that it is twice as long as it is wide, and that its perimeter is 30 meters.
The perimeter P of a rectangle is calculated by the formula 2L + 2W = P, where L is the length and W is the width. Since the length is given as twice the width, we can substitute 2W for L in the formula and get 2(2W) + 2W = 30, which simplifies to 6W = 30. Solving for W, we find that W = 5. Therefore, the width of the room is 5 meters and the length of the room is 2W = 2*5 = 10 meters.
Learn more about Algebraic Problem Solving here:https://brainly.com/question/32924529
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"Complete the square" to convert the equation of each circle to graphing form. Identify the center and the radius.
x² + 6x + y2 – 4y= -9
Answer:
The center is (-3,2) and the radius is r=2
Step-by-step explanation:
The general equation of the given circle is
[tex]x^2+6x+y^2-4y=-9[/tex]
Add the square of half the coefficient of the linear terms to both sides of the equation to obtain;
[tex]x^2+6x+3^2+y^2-4y+(-2)^2=-9+3^2+(-2)^2[/tex]
[tex]x^2+6x+9+y^2-4y+4=-9+9+4[/tex]
[tex]x^2+6x+9+y^2-4y+4=4[/tex]
The quadratic trinomials in x and y on the left side of the equations are perfect squares.
We factor to obtain;
[tex](x+3)^2+(y-2)^2=4[/tex]
[tex](x--3)^2+(y-2)^2=2^2[/tex]
Comparing to:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
The center is (-3,2) and the radius is r=2
To complete the square and put the equation into graphing form, group x's and y's, add appropriate constants to each group, and rewrite. The circle's equation becomes (x + 3)² + (y - 2)² = 4, with the center at (-3, 2) and a radius of 2.
Explanation:To complete the square for the equation x² + 6x + y² - 4y = -9 and convert it to graphing form, we need to group the x's and y's together and add the right constants to each group.
First, group the x terms and the y terms: (x² + 6x) + (y² - 4y).Next, for x terms, add and subtract (6/2)², which is 9, inside the parentheses: (x² + 6x + 9) - 9.For y terms, add and subtract (-4/2)², which is 4, inside the parentheses: (y² - 4y + 4) - 4.Combine the constant terms with -9, the constant on the right side of the equation: -9 - 9 - 4.The equation becomes (x + 3)² + (y - 2)² = 4.Now, the equation is in the graphing form of a circle ((x-h)² + (y-k)² = r²), where (h, k) is the center and r is the radius. Hence, the circle's center is at (-3, 2) and its radius is 2.
Which statement is always true
Answer:
Step-by-step explanation:
The sine of any acute angle is equal to the cosine of its complement. The cosine of any acute angle is equal to the sine of its complement. of any acute angle equals its cofunction of the angle's complement. Yes, there is a "relationship" regarding the tangent of the two acute angles (A and B) in a right triangle.
hope this helps u