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2 years ago

Beth is using triangular shaped pieces to cover the front of a pillow. The base of each triangle is 9 inches and the height of

Mathematics

2 answers:

Anarel [89]2 years ago

8 0

The answer is 27 square inches

dezoksy [38]2 years ago

8 0

The answer is 27 square inches

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If AD=20 and AC=3x+4, find the value of x. Then find AC and DC.<br><br> I don't understand.

Fofino [41]

<span>Using the information we have 3x+4=40 Do the same to each side of the equation to eliminate for x. 3x+4=40 Minus 4 from each side 3x=40-4 3x=36 Divide 3 from each side x=36/3 x=12 AC=3x+4 insert the value of x 3(12)+4=40 AC=40 AD=20</span>

5 0

2 years ago

An urn contains 2 red marbles and 3 blue marbles. 1. One person takes two marbles at random from the urn and does not replace th

Strike441 [17]

<h2>Answer with explanation:</h2>

Given : An urn contains 2 red marbles and 3 blue marbles.

Total marbles = 2+3=5

a) The general ways in which the person could get a red marble and a blue marble are :

1) He draws red marble first and then second marble as blue.

2) He draws blue marble first marble and then second marble as red.

b) The number of ways to get one red and one blue marble is given by :-

$^2C_1\times^3C_1=2\times3=6$ (i)

c) Number of ways to get 2 marbles from 5 is given by :-

$^5C_2=\dfrac{5!}{2!(5-2)!}=\dfrac{5\times4\times3!}{3!\times2}=10$ (ii)

Now, The probability the person gets a red and a blue marble will be :-

$P(R\ \&B)=\dfrac{6}{10}=0.6$ [Divide (i) by (ii)]

Hence, the probability the person gets a red and a blue marble= 0.6

5 0

2 years ago

Grant plans to evaporate enough water from 22 gallons of a 16% ammonia solution to make a 24% ammonia solution. Which equation c

Paha777 [63]

First lets write down our starting conditions:

we have 22 gallons and it has 16% of ammonia

16% of 22 gallons is
A = 16/100*22 = 3,52 gallons

Now since only watter is evaporating that means that in second scenario after some watter evaporated there is still 3,52 gallons of ammonia. But now those 3,52 gallons of ammonia represent 24% of total mixture. So now we go other way.
24 % is 3,52 gallons
100% is x gallons

x = 100/24*3,52 = 14.667 gallons

That means that he has to evaporate
22 - 14.6667 = 7,333 gallons of water.

7 0

2 years ago

Line segments XY and ZY are tangent to circle O. Circle O is shown. Triangle X Y Z has points X and Z on the circle. Lines X Y a

pickupchik [31]

Answer:

The correct option is;

An isosceles triangle

Step-by-step explanation:

The parameters given are;

Line segments XY and ZY are tangents to circle O.

ΔXYZ has points X and Z on the circle.

XY and ZY are tangents that intersect at point Y outside the circle'

Therefore, given the circle has center O, then;

OY ≅ OZ = Radius of circle with center O

∠OXY ≅ ∠OZY = 90° (The radius line from the circle center to the tangent point is perpendicular)

OY ≅ OY (Reflexive property)

ΔOYX and ΔOYZ are right triangles (Triangle with one angle = 90°

ΔOYX ≅ ΔOYZ (Hypotenuse Leg, HL, rule of congruency)

Therefore;

XY = ZY (Corresponding Parts of Congruent Triangles are Congruent CPCTC)

Triangle XYZ is an isosceles triangle (Triangle with two equal sides).

4 0

2 years ago

Zara is serving a fresh pie.she starts by cutting the pie in half and then cuts each half into 4 equal pieces what fraction of t

gladu [14]

Answer:

$\boxed{\frac{1}{8}}$

Step-by-step explanation:

You are starting with ½ pie. Then you cut it into four pieces.

You want to evaluate ½ ÷ 4

Step 1. Treat the integer as a fraction

$\frac{1}{2}\div{\frac{4}{1}}$

Step 2. Invert the divisor and change divide to multiply

$\frac{1}{2}\times{\frac{1}{4}}$

Step 3. Multiply numerators and denominators

$\frac{1}{2}\times{\frac{1}{4}} = \mathbf{\frac{1}{8}}\\\\\text{Each piece is } \boxed{\mathbf{\frac{1}{8}}} \text{ of a whole pie.}$

5 0

2 years ago