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eimsori [14]
3 years ago
7

A landscaping company is laying a triangular flower bed. The height of the trangle is 15ft. What lengths of the base will make t

he area at least 210ft squared?
Mathematics
1 answer:
mash [69]3 years ago
5 0

Answer:

28 ft

Step-by-step explanation:

The height of the triangle = 15 ft

The least required area A = 210 ft^2

We know that the area of a triangle = 1/2bh

Where

b is the base

h is the height

Substituting, we have

210 = 1/2 x b x 15

210 = 15/2 x b

420/15 = b

b = 28 ft

You might be interested in
Paul and Charlene are 420 miles apart. They start toward each other with Paul driving 16 mph faster than Charlene. They meet in
Thepotemich [5.8K]

Answer:

34 mph.    

Step-by-step explanation:

Let x be speed of Charlene, then speed of Paul will be x+16 as we are given that Paul is driving 16 mph faster than Charlene.

Let y be distance covered by Charlene, then distance covered by Paul will be 420-y.  

Now we will use formula \text{Speed}=\frac{\text{Distance}}{\text{Time}}. Upon using our given information we will get two equation and two unknowns as:  

x+16=\frac{420-y}{5}...(1)

x=\frac{y}{5}...(2)

Upon substituting x=\frac{y}{5} in 1st equation we will get,

\frac{y}{5}+16=\frac{420-y}{5}

Upon multiplying both sides of our equation by 5 we will get,

5(\frac{y}{5}+16)=420-y

5\times\frac{y}{5}+5\times 16=420-y    

y+80=420-y

y+80+y=420-y+y

2y+80=420

2y=420-80

2y=340

y=\frac{340}{2}  

y=170      

Upon substituting y=170 in 2nd equation we will get,

x=\frac{170}{5}

x=34

Therefore, Charlene's speed is 34 miles per hour.


6 0
3 years ago
5-52: the first card selected from a standard 52-card deck is a king. a. if it is returned to the deck, what is the probability
Ksivusya [100]

Calculating the likelihood of experiments happening is one of the branches of mathematics known as probability.

The probability of getting a king card is 1/13 or 0.077.

<h3>What is meant by probability?</h3>

A probability is a numerical representation of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

Given: Total number of probability - 52

Now, the first selected card is king and it is returned to the deck.

So it contains no effect on the second selection card.

Then, we have to estimate probability to obtain a king

probability = favourable outcomes for a king / total possible outcomess

= 4 king cards / 52 cards in total

= 4 / 52 = 1 / 13

The probability of getting a king card is 1 / 13 or 0.077

Therefore, the correct answer is option B. 1/13, or 0.077.

The complete question is:

The first card selected from a standard 52-card deck was a king. It isreturned to the deck, what is the probability that a king will be drawn on the second selection?

A. 1/4 or 0.25

B. 1/13, or 0.077

C. 12/13, or 0.923

D. 1/3 or 0.33

E. None of the above​

To learn more about probability refer to:

brainly.com/question/13604758

#SPJ4

5 0
1 year ago
Help plz I’ll give brainliest and I’m struggling with this problem
hodyreva [135]

The line is starting from right side and goes thorough left .

Means

  • Its starts from 1st Quadrant and goes to 3rd Quadrant.(+ve to -ve)
  • Y is infinite

Hence

The solution is

\\ \sf\longmapsto (0,\infty]

6 0
2 years ago
PLEASE HELP WITH 1-3 ILL MARK U THE BRAINLIEST
sammy [17]

Answer:

1:A(-6,-1) B(-14,0) C(-11,4)

2:D(6,-3) E(2,-3) F(3, -4.5) G(5, -4.5)

3:H(-4,1) I(-4, 6) J(0,6) K(0,1)

Step-by-step explanation:

Before we begin, lets define the transformations:

(x, y)

T(a, b) = (x+a, y +b)

Rxaxis = (x, -y)

Ryaxis = (-x, y)

r(180, 0) = (-x, -y)

D.5(1/2x, 1/2y)

R(-90, O) = (-y, x)

1. T. A(6,-1) B(14,0) C(11,4)

   Rx. A(6, 1) B(14,0) C(11,-4)

   r180 A(-6,-1) B(-14,0) C(-11,4)

2. Rx D(-12,-6) E(-4,-6) F(-6, -9) G(-10, -9)

   Ry D(12,-6) E(4,-6) F(6, -9) G(10, -9)

   D.5 D(6,-3) E(2,-3) F(3, -4.5) G(5, -4.5)

3. Rx=1 H(-1,2) I(4, 2) J(4,-2) K(-1,-2)

   T H(1,4) I(6, 4) J(6,0) K(1,0)

   r-90 H(-4,1) I(-4, 6) J(0,6) K(0,1)

4 0
3 years ago
Question 4 of 5
belka [17]

Answer:

Angle B is a straight angel. Angels a and c are bot 45 degrees.

Step-by-step explanation:

8 0
3 years ago
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