Tierra is making steps for a doll house. She has cut a piece of wood that measures 1. 5 centimeters wide and 30 centimeters long. Each step will measure 15 millimeters by 4 millimeters. She will make 21 steps for her doll house. Which are the dimensions of the wood that remains after Tierra finishes making the 21 steps?​

To find the length of the side opposite the angle, multiply the hypotenuse by sin(). Alternatively, to obtain the side next to the angle, multiply the hypotenuse by cos()

The term "hypotenuse" refers to a right-angled triangle's longest side as compared to the base and perpendicular lengths. The right angle, the largest angle of the three angles in a right triangle, is opposite the hypotenuse side. In essence, only the right triangle possesses the hypotenuse feature, not any other triangles. When we study the right-angled theorem, Pythagoras Theorem, or Pythagorean Theorem, this is better understood.

Pythagoras theorem defines the hypotenuse theorem. This theorem states that the square of a right-angled triangle's hypotenuse side is equal to the sum of its base and perpendicular squares, so that;

Hypotenuse2 = Base2 + Perpendicular2

The square root of the sum of the base and perpendicular squares of a right-angled triangle provides the formula to get the hypotenuse. The hypotenuse formula is represented as follows:

Hypotenuse = √[Base2 + Perpendicular2]

To know more about Hypotenuse Triangle refer to:

https://brainly.com/question/2217700

#SPJ1

Answer:

Approximately 5 boxes

Step-by-step explanation:

6x4=24 ft

24x2=48 ft

48x12=576 in

576/6=96

96/20=4.8 boxes

If I'm wrong I'm sorry

Answer:

a=15x; b=8x; c=13x

180°=a+b+c=15x+8x+13x=36x

=> x=180÷36=5

=> a=15×5=75°; b=8×5=40°; c=13×5=65°

The pair of linear equations KX − 4y = 3 and 6x − 12y = 9 have an infinite number of solutions when K = 0.

This can be shown by solving the two equations for K. Solving the first equation for K yields K = (4y/X) + 3. Substituting this into the second equation yields: 0 = (4y/X) + 3 - (12y/6x). Simplifying this yields 0 = (2y/X) - (9/6x). This equation simplifies to 0 = (2y - 9x)/X. Since the denominator of the right side of the equation is not equal to 0, the only way to get 0 = 0 is if the numerator is equal to 0 as well. This happens when 2y - 9x = 0. Since y and x are variables, the only way that this equation can be true for all values of x and y is if the coefficient of both of them is equal to 0. Thus, K = 0 is the only value for which this pair of linear equations has an infinite number of solutions.

Learn more about linear equations here:

https://brainly.com/question/29739212

#SPJ4

Step-by-step explanation:

A = A02^(-t/hl) ---> ln(A/A0) = -(t/hl)ln2

solving for t,

t = -(hl)ln(A/A0)/ln2

= -(1620 yrs)×ln(8/12)/ln2

= 947.6 yrs

974.6 years It will take before it has 8 grams of radium left,

Given that,

The half-life of radium is 1620 years

Laboratory has 12 grams of radium,

We have to determine,

How long will it take before it has 8 grams of radium left.

According to the question,

Laboratory has radium = 12 grams

Left radium = 8 grams

Half life of radium [tex]_t_\frac{1}{2}[/tex] = 1620 years.

[tex]N = N_o [\frac{1}{2}]^{n} \\\\8 = 12 [\frac{1}{2}] ^{n}\\\\\frac{8}{12} } =[ \frac{1}{2} ]^{n}\\\\ log2 - log3 = n( log1 - log2)\\\\0.30-0.47 = n (0 - 0.30)\\\\-0.17 = -0.30 n\\\\n = 0.56[/tex]

It will take before it has 8 grams of radium left,

[tex]t = n \times t_\frac{1}{2} \\\\t = 0.56 \times 1620\\\\t = 974.6 \ years[/tex]

Hence, 974.6 years It will take before it has 8 grams of radium left,

For more information about Half life click the link given below.

https://brainly.com/question/24710827

Answer:

The trigonometric value is equal to cos 62° is sin 28°

Answer:

what's the question

Step-by-step explanation:

what's the question and no it will be for free <3

If the circle's center is in one of the foci, the inverse of the hyperbola is a Limaçon with an inner loop.

A hyperbola is a particular kind of smooth curve that lies in a plane and is classified by its geometric characteristics or by equations for which it is the solution set.

A hyperbola is made up of two mirror images of one another that resemble two infinite bows.

These two sections are known as connected components or branches.

The hyperbola's equation is expressed as (y−k)2b2−(x−h)2a2=1.

The transverse axis is defined by b, the conjugate axis by a, and the center is defined by (h,k).

The section of a line that a hyperbola's vertices form.

The inverse of the hyperbola is a Limaçon with an inner loop if the circle's center is in one of the foci.

Therefore, if the circle's center is in one of the foci, the inverse of the hyperbola is a Limaçon with an inner loop.

Know more about a hyperbola here:

https://brainly.com/question/26250569

#SPJ4

Answer:

41

Step-by-step explanation:

when you find the median you split the numbers in half from the upper to lower parts of the data. then you find the median of the upper part and that is the upper quartile.

median: 32

32, 36, 37, 40, 42, 45, 50

add 40+42 then divide by 2 and you get 41

hopefully this helps

Answer:

A on edge

Step-by-step explanation:

( 3/2, -1/2, 3)

Answer:

127.2

Step-by-step explanation:

The area of a semicircle is:

[tex]\frac{\pi r^{2} }{2}[/tex]

So to figure it out we first find the diameter:

18÷2=9

Then we plug it into the equation

[tex]\frac{9^{2}\pi }{2} = \frac{81\pi}{2}[/tex] Which we can put into a calculator to get 127.2345... so we round to 1 d.p to get our answer, 127.2 (the fifth digit, 3, rounds down)

The modulus increases by a factor of 10 and the argument increases by 5π/3.

Modulus of the complex number:

The modulus of a complex number is the square root of the sum of the squares of the complex number's real and imaginary parts. If z is complex, the absolute value of complex z is given by √{[Re(z)]2 + [Im(z)] and denoted by |z|. exclusive. The absolute value of a complex number z = a + ib is the distance between the origin (0, 0) of the complex plane and the point (a, b). The modulus of a complex number is a distance, so its value is always non-negative.

The absolute value of a complex number z = x + iy denoted by |z| is given by the formula |z|. Given = √(x2 + y2), where x is the real part of the complex number z and y is the imaginary part. The modulus of a complex number z can also be computed using the conjugate of z. Since

z. z = (x+ iy)(x −iy)

=x²+y² , we have

    z. z = |z|²

⇒ |zI =√z. z.

Then,

The modulus of the z will be =|z|= √p²+q²

We have,

z = 5 – 5i √3

So,

Now rewrite this given equation in the form of z = r(Cosθ + iSinθ),

For this first calculate the modulus,

|Z| = √((5√3)² + 5²)

|Z| = √(25×3 + 25)

|Z| = √(100) = 10

And,

Argument, θ = tan⁻¹ (b/a)

θ = tan⁻¹ (5√3/5)

θ = tan⁻¹ (√3)

θ = 71

Therefore, the modulus increases by a factor of 10, and the argument increase by 5π/3.

Learn more about Modulus :

https://brainly.com/question/10737199

#SPJ4

Answer:

The modulus increases by a factor of ✔ 10.

The argument increases by ✔ 5π over 3

Step-by-step explanation:

correct on edge 2023

Answer:

29-2 =27 divided by 3

m=9

Answer:

One option is:

m=3

Step-by-step explanation:

3x3=9

9+2=11

11<29

Answer:

should be C. No, there are no y-values that have more than one x-value

but if i'm wrong let me know!

Answer:

Step-by-step explanation:

The second graph is the right one.  Note that when x = 1, y (the maximum) is 4, and that the x-intercepts are -3 and 1.

The x-intercepts are -3 and 1.

We have given,

A parabola has a maximum value of 4 at x = -1,

A y-intercept of 3, and an x-intercept of 1.

The maximum value of a graph is the point on the graph where the y-coordinate has the largest value.

A maximum graph is one that represents the largest value of the y-coordinate.

The second graph is the right one.

Note that when x = 1, y (the maximum) is 4,

and that , The x-intercepts are -3 and 1.

To learn more about the maximum value visit:

https://brainly.com/question/1286349

Answer:

58 Use pathagreon theorem

Step-by-step explanation:

a^2 + b^2 = c^2

Answer:

58

Step-by-step explanation:

The Pythagorean theorem says

[tex]40^{2} + 42^{2} = x^{2}[/tex]

[tex]x^{2}[/tex] = 1600 + 1764

   = 3364

x = [tex]\sqrt{3364}[/tex] = 58

The value of x is 8 and  the measure of the two marked angles is  60°.

When an angle's vertex and side are shared by another angle, the two angles are said to be neighboring angles. The vertex of an angle is the point where the rays come to a halt and create the sides of the angle. When two adjacent angles share a vertex and a side, they can be either complimentary or supplementary angles.

we know that ,

10x-20=7x+4   (it is corresponding opposite angle)

3x=24

x=8

the value of x is 8.

the measure of the two marked angles is 10*8-20= 80°-20°= 60°.

To know more about corresponding angle visit:

brainly.com/question/29011909

#SPJ1

Answer:

Answer = 15

Step-by-step explanation:

10% is taking away the precentage away from the original price. 2, 4, 6 ,8 ,10, 12 ,14 ,16,18 is the 100% Its the WHOLE number. youre taking away 10% off.

It is given that a 45-45-90 triangle whose each leg is 12 cm, then the length of the hypotenuse can be found out as 12/√2

since the hypotenuse is one of the legs multiplied by √2.

dividing the hypotenuse by √2 will get the length of one leg. since it is a 45 45 90 triangle, the length of the two legs are the same.

It is given that  a 45-45-90 triangle whose each leg is 12 cm, then the length of the hypotenuse can be found out as:

By using the Pythagoras theorem, we have

a^2+b^2= c^2

Substituting the given values, we have

12/√2

Thus, the length of the hypotenuse will be

12/√2

learn more about of hypotenuse here

https://brainly.com/question/12407354

#SPJ4

The value of x is 18.45°.

The value of y is 2.5 units.

The measure of the angle TOQ is 128.15°.

The measure of the angle QRS is 90°.

The perimeter of QRST is 36 units.

A quadrilateral with all equal sides is a rhombus. Rhombuses are a particular kind of parallelogram in which all of the sides are equal since the opposite sides of a parallelogram are equal.

Given,  m∠ROS = 7x - 1, m∠STO= 4x - 22.

We know the sum of linear pair of angles is 180°.

Therefore,

7x - 1 + 4x - 22 = 180.

11x = 203.

x = 203/11.

x = 18.45°.

Also given that line segment QT = 4y + 2 and ST = 8y - 8.

We know the sides of a rhombus are of equal length.

Therefore,

4y + 2 = 8y - 8.

- 4y = - 10.

4y = 10.

y = 10/4.

y = 2.5.

We know vertically opposite angles are equal hence m∠ROS = m∠TOQ.

= 7(18.45) - 1.

= 128.15°.

m∠QRS is 90° as all four interior angles of a rhombus are right angles.

The perimeter of QRST is 4×(QT).

= 4×(10 + 2).

= 4×12.

= 36 units.

learn more about rhombus here :

https://brainly.com/question/27870968

#SPJ1

The following method for assigning the 24 students to two equal-sized groups allows for a statistical valid comparison of the two instructional programmes.

An instructional programme is a course of study that requires the completion of a specified number of course credits from a prescribed group of courses and results in a formal award.

A) Each student will be given a unique random number generated by a random number generator on a calculator, statistical software, or a random number table. The assigned numbers will be listed in ascending order. Students with the lowest 12 numbers on the ordered list will be assigned to the instructional programme that requires physically dissecting frogs.

Students with the highest 12 numbers will receive an instructional programme that simulates frog dissection using computer software.

B) By not randomizing and allowing students to self-select, there is the possibility of changes in the differences between pre test and post test scores for a specific group due to the characteristics of students who choose a particular instructional method, rather than the instructional method itself.

For example, suppose frog-loving students already know a lot about frog anatomy; these students would be less likely to show a large difference between pre and post test scores. Assume that the frog-loving students prefer the computer simulation method (perhaps because they do not like the notion of dissecting the frogs they love).

The possible low change in pre- and post-test scores for the computer simulation group could then be attributed to the students' prior knowledge of frog anatomy, rather than to the instructional method itself. Because the students entering the frog dissection group have lower pre-test scores (less prior knowledge), they are more likely to show greater improvement between pre-test and post-test scores.

Learn more about ascending order visit:

https://brainly.com/question/20681445

#SPJ4

Answer:

b. one solution

Step-by-step explanation:

two lines are intersecting.

i hope this helps :)

Answer:

B. One Solution.

Step-by-step explanation:

Two linear lines are intersecting at one point. (One point = One solution).

Answer:

-1/3

Step-by-step explanation:

Answer:

-1/3

Step-by-step explanation:

to find perpendicular you need to reverse the slope

In the expression 52 + 6 + ya,

The terms are the individual parts of the expression that are being added together. The coefficient is the numerical factor that is multiplied by a variable in a term, and the constant is a term that has no variable.

Any expression with variables will either add or delete one or more variables. Any one of a variety of numbers to represent a generic idea. An absolute number is a constant. A constant is a number, whereas a coefficient is a number that is "in front of" a variable.

To know more about coefficient visit: https://brainly.com/question/30066987

#SPJ4

Answer:

B and D both lead to failure. I have no idea how to pick which one is right. I guess D but don't be surprised if it is B. The question tries to do too much.

D

Step-by-step explanation:

No.

You need one more fact.

You can't pick A. Angles are not noted.

B: there is no mention of parallel sides. This is why the proposition fails to give a parallelogram.

C: you haven't got both sides being parallel. You haven't even got one set of opposite sides being parallel

D: This is probably another alternative. You don't know anything about 1 set of opposite sides.

E: No angles are marked.

The equation for the maximum number of yards per second that can be run is y = 5/3 s.

A direct variation measurement between distance covered and time taken can be composed as:

y=kx,

where,

This is because the athlete's distance travelled directly varies with the amount of time it takes.

Find k using the given values:

y=kx,

10 = k(6)

k = 10/6

k = 5/3

As a result, the equation for the maximum number of yards per second is y = 5/3 s.

To know more about the Direct Variation, here

https://brainly.com/question/2098610

#SPJ4

Answer:

unless I'm confused this morning, the square root of a squared number is equal to the number, so:

4/7 would ne my answer

Step-by-step explanation: