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3 years ago

Select the correct answer from each drop down menu.

Mathematics

2 answers:

ollegr [7]3 years ago

7 0

Answer:

Answer:

Step 2 > addition

Step 4 > multiplication

Step-by-step explanation:

Nesterboy [21]3 years ago

4 0

What are the drop downs?

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At the local art exhibit, childrens tickets cost $3 each and adult tickets cost $4 each. On a certain day, the exhibit sold 56 t

sergij07 [2.7K]

Answer:

Children=21 Adult=35

Step-by-step explanation:

[using c for children tickets and a for adult tickets]

56=c+a and 203=3c+4a [starting system of equations]

a=56-c ---> 203=3c+4(56-c) [plugging the first eq. into the second]

203=3c+224-4c [simplify]

-21=-c [simplify 2.0]

c=21 [simplify 3.0]

56=21+a [plugging back into org. eq.]

so a=35

5 0

3 years ago

If angle A =90 degree , b=1 cm and a =2 cm then solve the following right angled triangle ABC

Kruka [31]

Answer:

Angle A = 90 degrees, side a = 2.
Angle B = 30 degrees, side b = 1.
Angle C = 60 degrees, side c = $\sqrt{3}$ .

Side c:

If angle A is 90 degrees, side a is the hypotenuse.
$c^{2} + b^{2} = a^{2}$ <--- <em>this is NOT the correct way to write the Pythagorean theorem. I changed it to fit the side lengths. Normally, it is </em> $a^{2} + b^{2} = c^{2}$ <em>, where c is the hypotenuse. Since a is the hypotenuse, I switched the variables.</em>
$c^{2} + (1)^{2} = (2)^{2}$
$c^{2} + 1 = 4$
$c^{2} = 3$
$c = \sqrt{3}$

Finding the angles:

<em>In a 30-60-90 right triangle, the...</em>
<em>Shortest leg = x</em>
<em>Longest leg = </em> $x\sqrt{3}$ <em> </em>
<em>Hypotenuse = 2x </em>
In this case, the shortest leg is 1, the longer leg is $\sqrt{3}$ (or $1*\sqrt{3}$ ), and the hypotenuse is 2 (or $2*1$ ).
As a result, this is a 30-60-90 triangle -- angle B is 30 degrees while angle C is 60 degrees.

4 0

3 years ago

Turn 7/16 into a decimal

scoray [572]

To turn a fraction into a decimal, you have to divide the numerator by the denominator.

So, divide 7 by 16 and you get 0.4375

The decimal is 0.4375.

Hope it helps

6 0

4 years ago

What is the length of RU?

marta [7]

Answer:

Length of RU is 20 units.

Step-by-step explanation:

In ΔRSt and ΔRUT,

ST ≅ TU [Given]

RT ≅ RT [Reflexive property]

∠RTS ≅ ∠RTU [Both the angles are the right angles]

ΔRTS ≅ ΔRTU [By SAS property of congruence]

Therefore, RS ≅ RU [By CPCTC (corresponding parts of the congruent triangles are congruent]

8x = 6x + 5

8x - 6x = 5

2x = 5

x = 2.5

Length of RU = (6x + 5)

= 6(2.5) + 5

= 15 + 5

= 20

Length of RU is 20 units.

7 0

3 years ago

A large wooden box, as shown, has a volume of 4352 ft3. The box is a right square prism with a base with sides that each measure

notsponge [240]

<h2>Volume of a Prism</h2>

To find the volume of a prism, we can use the following formula:

$V=base\hspace{3}area*height$

Although this formula is typically used to find the volume of a prism, we can also use it to find the base area or height, as long as we re-arrange it accordingly.

For a rectangular prism, the base area is solved using the following formula:

$A=lw$ ⇒ where <em>l</em> is the length and <em>w</em> is the width

<h2>Solving the Question</h2>

We're given:

V = 4352 ft³
<em>l</em> = 16 ft
<em>w</em> = 16 ft
We need to solve for the height of the box.

First, find the base area:

$A=lw\\A=16^2\\A=256$

Therefore, the base area is equal to 256 ft².

Now, modify the volume formula to isolate the height:

$V=base\hspace{3}area*height$

⇒ Divide both sides by the base area:

$\dfrac{V}{base\hspace{3}area}=\dfrac{base\hspace{3}area*height}{base\hspace{3}area}\\\\\dfrac{V}{base\hspace{3}area}=height\\\\height=\dfrac{V}{base\hspace{3}area}$

⇒ Plug in the given values:

$height=\dfrac{4352}{256}\\\\height=17$

Therefore, the height of the box is 17 ft.

<h2>Answer</h2>

The height of the box is 17 ft.

3 0

2 years ago