Use the proportion to solve for the unknown base measure of the enlarged trapezoid. 1.Set up the proportion: StartFraction 2 over 3.25 EndFraction = StartFraction x over 6.5 EndFraction 2.Use cross products: 2(6.5) = 3.25(x) 3.Simplify: 13 = 3.25x 4.Divide both sides by 3.25: The missing base measure of the enlarged trapezoid is cm.

We can name the sides of a right triangle by finding their location given one of the angles.

The sine, cosine, and tangent ratios are the three basic trigonometric ratios:

The given angle in this case ([tex]\theta[/tex]) is the angle that measures 15°.

We're also given the side adjacent to it (that is not the hypotenuse), which measures 300 units.

And finally, we're asked to solve for the side opposite the given angle.

The ratio that involves solving using the opposite and the adjacent sides is the tangent ratio. Plug in all the given values:

[tex]\tan\theta =\dfrac{opposite}{adjacent}\\\\\tan(15^\circ)=\dfrac{x}{300}[/tex]

Isolate x by multiplying both sides by 300:

[tex]300\tan(15^\circ)=x\\\\300\tan(15^\circ)=80.4[/tex]

Therefore, x = 80.4 when rounded to the nearest tenth.

x = 80.4

Answer:

Box b is 10 inches

Step-by-step explanation:

I did the work I am sorry I know you are probably in a rush but if you want me to write that out I can

Answer:

You would do this problem like a normal varible problem. x=10

Step-by-step explanation:

Since 9x is a right angle the inside would also be 9x

9x+4x+10+40=180

180 because that is how much a triangle equals

combine like terms

13x+50=180

subtract 50 from both sides

13x=130

divide by 13

x=10

Hope this helps!

ANSWER:

1/2

EXPLANATION:

Plug this into calculator -->

(1/64) ^ (1/6) and you will get exactly

0.5 which is equal to 1/2

*Note = this can also be done by changing it to...

⁶√[1/64]

If you know this root (2⁶ = 64) then it is 2, and 1 over 2 is equal to one half

Answer:

Mrs. Foster's class had the most students in class that Friday

Step-by-step explanation:

Mr Lopez - 92.5%

Mrs Foster - 19/20

Mr Kelly - 0.9

Let's say that there were 40 students in class

92.5% of 40 would be 37

So

Mr Lopez's Class had 37 students.

19/20 of 40 would be 38

So

Mrs Foster's Class had 38 students

0.9 of 40 would be 36

So

Ms Kelly's class had 36 students

Therefore, from looking at this, the answer would be Mrs Foster's Class

Answer:

is 105

Step-by-step explanation:

Answer:

105°

Step-by-step explanation:

We will see that the value of a is 12.

We have a Fibonacci sequence, and the first four terms are:

a, 2a, 3a, 5a.

Because it is a Fibonacci sequence, the next term should be the sum of the two previous ones.

3a + 5a = 8a

Then the sum of the first 5 terms is:

(a + 2a + 3a + 5a + 8a) = 228

We can solve this for a.

(1 + 2 + 3 + 5 + 8)*a = 228

19*a = 228

a = 228/19 = 12

So we conclude that the value of a is 12.

If you want to learn more about sequences, you can read:

https://brainly.com/question/7882626

Answer:

15

Step-by-step explanation:

2:7:1

=>2+7+1

=10

10/150= 15

£150 in the ratio 2:7:1 its equal to 15

Answer: 285.1 square yards

Step-by-step explanation:

Answer:

Amount of Niobium-91 initially

= 300/91 =3.2967mol

2040 years = 3 ×680 = 3 half-lives

therefore, amount left = 0.4121mol

mass of Niobium-91 remaining = 0.4121 ×91 =37.5g

Please give brainliest

Answer:

Daniel is incorrect, Bella and Carlos run at 5 seconds each (Respectively), while Daniel runs at 20 seconds

Give me brainliest answer

Answer:

The words the speaker could use in the blank are...

some text added here for great reasons...

Answer: x = 1

Step-by-step explanation:

[tex]\mathrm{The \ quadratic \ equation \ with \ roots \ at \ -4 \ and \ 6 \ is \ given \ by:}\\$$\begin{aligned}&y=(x+4)(x-6) \\&y=xx+x\left(-6\right)+4x+4\left(-6\right) \\&y=x^2-2x-24\end{aligned}$$[/tex]

[tex]\mathrm{For \ a \ quadratic \ equation \ in \ standard-form \ $y=ax^{2}+b x+c$.}\\The axis of symmetry is a vertical line $ x=\frac{-b}{2 a} . \\ \marthm{Here } \ b & =-2 \quad, \ a=1\end{array}$[/tex]

[tex]x=\frac{-(-2)}{2 \times 1}=\frac{2}{2}=1 \\\\ \mathrm{Therefore \ x=1 \ is \ the \ equation \ of \ the \ axis \ of \ symmetry \ of \ F}[/tex]

Answer:

they want to know all the angles that are the same (congruent) s angle 8

Step-by-step explanation:

by inspection we can tell which are the same at angel 8

2,3,5 are all the same as angle 8

Answer:

The main branches of mathematics are algebra, number theory, geometry and arithmetic.

Answer:

The main branches of mathematics are algebra, number theory, geometry and arithmetic. Based on these branches, other branches have been discovered.

Answer: I think it would be Decrease but I may not be correct

Answer:

160 square units

Step-by-step explanation:

First, lets focus on the triangles.

To find the area of a right triangle, we need to multiply the length by the width, and divide by 2.

(5 * 8) / 2 = 20

(And since there is two triangles, the area of the two is 40.)

To find the area of a rectangle, we need to multiply the length by the width.

15 * 8 = 120

Now we add all the areas together.

120 + 20 + 20 = 160

Is the answer is 160 square units.

Answer: Squares, cubes, and higher powers are shown as small digits called indices. The opposite of squaring and cubing is called square root and cube root.

The opposite of a square root as requested is; The square.

According to the question;

The square root of a number, x yields a number, y whose square is x.

In essence;

Read more;

https://brainly.com/question/11388449

Answer:

20 pieces

Each roll has 36 inches of ribbon. This means that 5 rolls have 180 inches of ribbon (5 x 36 = 180).

You can then divide the 180 by 9 to find out how many 9 inch pieces the dressmaker can cut from 5 rolls of ribbon.

Equation representation:

36 inches x 5 rolls = 180 inches in total
(one roll)

180 inches ÷ 9 = 20 peices

In conclusion, the dressmaker can cut 20, 9-inch pieces from 5 rolls of ribbon.

Step-by-step explanation:

Have a great rest of your day
#TheWizzer

Answer:

40: 56

Step-by-step explanation:

Answer:

a year is 12 months so there would be 6 months in half a year

Answer:

6

Step-by-step explanation:

there are 12 months in a whole year so just divide that by 2 and you get 6!

Answer:

18-12

Step-by-step explanation:

difference means subtraction so it would be a subtraction problem and you just plug in the numbers and your set.

The correct answer is OA. It is the graph of f(x) translated 11 units to the right.

The transformation g(x) = f(x - 11) represents a horizontal translation of the graph of f(x) = x.

When we substitute x - 11 into the function f(x), it shifts the entire graph 11 units to the right.

This is because for every value of x in f(x), we are now evaluating f(x - 11), which means the x-values are shifted to the right by 11 units.

Therefore, the correct statement is that g(x) is the graph of f(x) translated 11 units to the right.

for such more question on graph

https://brainly.com/question/13473114

#SPJ8

Answer:

I'm not too shmert so I will guess, ok?

Since the shape is a parallelogram, there are 2 pairs of opposite but equal sides --> "6a+21" and "20a+7"                   "11a" and "4a+7"

The easier pair is

11a = 4a+7              Subject 4a from both sides

7a = 7                     Divide 7 from both sides

a = 1

A = 1