1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
nikdorinn [45]
3 years ago
11

What is the value of y?

Mathematics
1 answer:
nata0808 [166]3 years ago
6 0

Answer: y = 16.5

Step-by-step explanation:

We would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

Considering triangle BCD,

BD² = 14² - 8²

BD² ° 196 - 64 = 132

BD = √132

Considering triangle ABD,

AB² = BD² + y²

AB² = (√132)² + y²

AB² = 132 + y²- - - - - - - - - - 1

Considering triangle ABC,

(8 + y)² = AB² + BC²

(8 + y)² = AB² + 14²

(8 + y)² = AB² + 196

AB² = (8 + y)² - 196- - - - - - - -2

Substituting equation 1 into equation 2, it becomes

132 + y² = (8 + y)² - 196

y² - (8 + y)² = - 196 - 132

y² - (64 + 16y + y²) = - 328

y² - 64 - 16y - y2 = - 328

- 16y = - 328 + 64

- 16y = - 264

y = - 264/- 16

y = 16.5

You might be interested in
Given equal probabilities of the birth of a boy or girl, what is the probability that a group of four siblings includes all boys
sergiy2304 [10]
All boys =1
all girls = 1
all boys or all girls = 1/2

5 0
4 years ago
Sharon has a balance of $3,825 on her credit card. If the card has an annual rate of 20.99% how much is the finance charge for t
tankabanditka [31]
20.99%/12 = 1.7492% which is the monthly rate (or at least the way my credit card does it)

1.7492/100 * 3825 = 66.91 
66.91 is just a rounding error. <<<=== answer.
8 0
4 years ago
Solve the problems. Write the complete proof in your paper homework and for online (only) complete the probing statement (if any
Luda [366]

Answer:

Hence proved that m∠AOD = m∠BCD.

Step-by-step explanation:

Given:

A Trapezoid with AC and BD as diagonals with O as intersection point to it.

Four angles formed at A and D are equal.

To Prove:

m∠AOD = m∠BCD

Proof:

Consider a Quadrilateral ABCD as trapezoid with diagonals as AC and BD

(Refer the Attachment).

And AB=CD which means the Quadrilateral ABCD isosceles in nature

i.e. angle A=angle D

Now  

Consider triangle AOD and triangle BCD

Apply sum of all angles of triangle is 180.

And also

m∠2+∠AOD+m∠3=180

∠AOD=180-m∠2-m∠3..............equation(1)

And for Triangle BCD

m∠BCD=180-m∠3-m∠4,.....................Equation(2)

∠A=∠D................ as Quadrilateral is  Isosceles.

i.e.∠2=∠3

That means by transitive property,

∠1=∠4=∠3=∠2

Using this values in above equation(1) we get ,

∠AOD=180-∠3-∠4.......................(3)

Now comparing equation 2 and 3 we get

RHS is equal for both equation that means LHS is also equal .

Therefore ∠AOD=∠BCD

Hence proved.

6 0
3 years ago
Evaluate the following expression. (xy)^0
allsm [11]
=1
this is just for the 20 characters.
4 0
4 years ago
HELP PLEASE ASAP!! ILL GIVE BRAINLIEST IF YOU CAN HELP :)
andrey2020 [161]

Answer: part 1

1. You need a Source of electric power (battery or generator), a load to absorb the power (lamp, motor, heating coil) and wiring to connect the load to the power source!

2. they both give off electricity energy, and they are different because they dont release the same amount of energy

3. Current will increase

Explanation:

In Ohm's law the equation for current is current = voltage / resistance.

In order to explain how current is effected when resistance decreases while voltage stays the same, lets represents the situations with some possible inputs.

Let's compare 3 different closed circuits all with a voltage of 10V.

In circuit 1, the resistance is 5 ohm.

In circuit 2, the resistance is 2 ohms.

In circuit 3, the resistance is 1 ohms.

The current of:

Circuit 1 = Voltage / Resistance = 10 V / 5 ohms = 2 Amps

Circuit 2 = Voltage / Resistance = 10V / 2 ohms = 5 Amps

Circuit 3 = Voltage / Resistance = 10V / 1ohm = 10 Amps

As you can see in this representation, as the resistance in a circuit increases while the voltage is constant, the total current is increased.

4. The resistance of a conductor is the ratio of the voltage

between its ends to the current through it.

If the voltage between the ends of a light bulb's filament

increases but the filament's resistance remains constant,

then the current through it increases by the same factor

as the voltage increase. The effect is to cause the light

to emit more light and heat ... both increase proportional

to the square of the voltage ... and possibly to "burn out".

Part 2

1. it's a circuit wherein all the elements are in parallel and a resistance is fitted in series across which a voltmeter is connected to measure potential drop acrossR so as to find the current across the load that is bulb which connected to in series with the resistor

2. A resistor is a passive two-terminal electrical component that implements electrical resistance as a circuit element. In electronic circuits, resistors are used to reduce current flow, adjust signal levels, to divide voltages, bias active elements, and terminate transmission lines, among other uses.

3. The switch simply opens (off) or closes (on) the connection between the two terminals on the switch. When the switch is on, current flows along the black wire through the switch to the light, and then returns to ground through the white wire to complete the circuit.

4. the current runs through the motherboard and into the smaller components or the small internal wiring

5. A battery is made up of three parts. The Cathode (positive end +) , the Anode (negative end -) and the electrolyte. The electrolyte allows electrical charges to travel between the cathode and anode. This chemical reactions creates the flow of electricity supplying the electrical voltage potential to power a circuit.

Typical materials of a battery are as follows

- Anode most often is made of zinc

- Manganese dioxide acting as Cathode.

- the electrolyte between and inside contains ions

Hope this help

3 0
3 years ago
Read 2 more answers
Other questions:
  • NEED HELP RIGHT NOW PLEASE HELP!!!!!!
    13·2 answers
  • Please help me out :/
    10·1 answer
  • you put $350 in an account. The account earns $17.50 in simple interest in 2.5 years. what is the annual interest rate
    9·1 answer
  • What is the value of s?<br><br><br><br> 0.7(3s+4)−1.1s=7.9
    5·1 answer
  • A turkey cooks for 1/3 of an hour for each pound it weight so how long would an 14 pound turkey need to cook?
    11·1 answer
  • Quadrilateral KLMN is similar to quadrilateral WXYZ.
    6·1 answer
  • During a fireworks show, a rocket is fired vertically upward with an initial velocity of 200 meters per second. The height in me
    14·1 answer
  • Drag expressions to show the steps to create an equivalent expression using only positive exponents. Let g and h be two nonzero
    6·1 answer
  • Select "Yes" or "No" to indicate whether the ordered pair is on the graph of the function f(x)=−40x+1 .
    15·1 answer
  • The cafe menu lists 3 choices:
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!