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4 years ago

I need so much help!!!!

Mathematics

1 answer:

USPshnik [31]4 years ago

4 0

Answer:

94.25m

Explanation:

$\frac{3cm}{4.5m}$ × $\frac{19.5}{x}$

Solve for x.

(cross multiply & divide)

4.5 × 19.5 = 282.75

282.75 ÷ 3 = 94.25

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allochka39001 [22]

Part A

Converse = "If corresponding angles are equal, then two lines are parallel"
Result = True

Explanation:

Refer to the converse of the corresponding angles theorem. The original version is stated as part A, and the converse is marked in bold above.

Conditional statements are of the form "if this, then that". Symbolically we can use the template "If P, then Q". The P and Q are placeholders for logical statements.

The converse of "if P, then Q" is "If Q, then P". We swap the positions of P and Q. Do not negate either piece.

========================================================

Part B

Converse = "If angle C is 70 degrees, then the sum of angles A and B is 110 degrees"
Result = True

Explanation:

Recall that for any triangle, the three interior or inside angles always add to 180 degrees. In short: A+B+C = 180. If C = 70, then A+B = 180-C leads to A+B = 180-70 and A+B = 110. This process can be reversed.

========================================================

Part C

Converse = "If two lines are not parallel, then alternate interior angles k and s are not equal"
Result = True

Explanation:

For more information, check out the converse of the alternate interior angles theorem. The regular version of the theorem is "If two lines are parallel, then the alternate interior angles are congruent".

The converse of this theorem flips things to say: "If alternate interior angles are congruent, then the lines are parallel".

========================================================

Part D

Converse = "If John loses his money, then he throws coins in the fountain"
Result = False

Explanation:

Throwing coins in a fountain is one way to lose money, but there are other ways. He could drop a coin somewhere, or leave the coin somewhere he forgot.

In other words, just because he lost his money does not mean he threw a coin in the fountain.

8 0

2 years ago

five dvds are packaged in plastic wrap. five packages are packed in a box. five boxes are packed in a crate. how many dvds are p

Gnesinka [82]

The question is an illustration of proportion and exponents

The number of dvd is one crate is: $\mathbf{5^3\ dvds}$

From the question, the given parameters are:

$\mathbf{5\ dvd = 1\ wrap}$ ---- 5 dvds in 1 package

$\mathbf{5\ package = 1\ box}$ --- 5 packages in 1 box

$\mathbf{5\ boxes = 1\ crate}$ --- 5 boxes in 1 crate

The number of dvds in 1 crate is calculated as follows:

$\mathbf{5\ boxes = 1\ crate}$

Substitute 5 packages for 1 box in the above equation

$\mathbf{5 \times 5\ packages = 1\ crate}$

Substitute 5 dvds for 1 package in the above equation

$\mathbf{5 \times 5 \times 5\ dvd= 1\ crate}$

Apply law of indices

$\mathbf{5^{1 + 1 + 1}\ dvd= 1\ crate}$

Express properly as:

$\mathbf{5^3\ dvd= 1\ crate}$

Rewrite as:

$\mathbf{1\ crate = 5^3\ dvd}$

Hence, the number of dvd is one crate is: $\mathbf{5^3\ dvds}$

Read more about proportion and exponents

brainly.com/question/12787584

3 0

3 years ago

Categorical Data is data that is sorted into categories on the basis of qualitative details.

Bumek [7]

Answer:

true

Step-by-step explanation:

"In statistics, a categorical variable is a variable that can take on one of a limited, and usually fixed, number of possible values, assigning each individual or other unit of observation to a particular group or nominal category on the basis of some qualitative property." - Wikipedia...

4 0

3 years ago

A projectile is fired with muzzle speed 250 m/s and an angle of elevation 45° from a position 30 m above ground level. Where doe

qaws [65]

The projectile's horizontal and vertical positions at time $t$ are given by

$x=\left(250\dfrac{\rm m}{\rm s}\right)\cos45^\circ\,t$

$y=30\,\mathrm m+\left(250\dfrac{\rm m}{\rm s}\right)\sin45^\circ\,t-\dfrac g2t^2$

where $g=9.8\dfrac{\rm m}{\mathrm s^2}$ . Solve $y=0$ for the time $t$ it takes for the projectile to reach the ground:

$30+\dfrac{250}{\sqrt2}t-4.9t^2=0\implies t\approx36.2458\,\mathrm s$

In this time, the projectile will have traveled horizontally a distance of

$x=\dfrac{250\frac{\rm m}{\rm s}}{\sqrt2}(36.2458\,\mathrm s)\approx6400\,\mathrm m$

The projectile's horizontal and vertical velocities are given by

$v_x=\left(250\dfrac{\rm m}{\rm s}\right)\cos45^\circ$

$v_y=\left(250\dfrac{\rm m}{\rm s}\right)\sin45^\circ-gt$

At the time the projectile hits the ground, its velocity vector has horizontal component approx. 176.77 m/s and vertical component approx. -178.43 m/s, which corresponds to a speed of about $\sqrt{176.77^2+(-178.43)^2}\dfrac{\rm m}{\rm s}\approx250\dfrac{\rm m}{\rm s}$ .

7 0

3 years ago

Mrs. Monroe is painting her room and she uses 5 gallons of paint. How many pints of paint did she use?

Veseljchak [2.6K]

Answer:

40 pints of paints

Step-by-step explanation:

there are 8 pints in a gallon

8 x 5 = 40

3 0

3 years ago

Read 2 more answers