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Agata [3.3K]
4 years ago
9

Find the area of the triangle that has a base of 16 yd and a height of 9 yd.

Mathematics
1 answer:
kherson [118]4 years ago
7 0
Area=1/2Bh
Area=1/2(16)(9)
Area=(8)(9)
Area=72yd
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A number lock has 9 different digits. a combination of three digits can be set to open the lock. how many combinations are possi
katrin2010 [14]
There are 7 combinations sis
6 0
3 years ago
The step work of the question along with the answer​
Travka [436]

Answer: RM 31631

Step-by-step explanation:

We are given the following formula, used to calculate the value of an used car according to the years after the car was originally bought:

RM 57000(\frac{8}{9})^{n}

Where RM 57000 is the price of the car when it was bought new, and n=5 is the number of years the car was used.

Solving the formula with the given data:

RM 57000(\frac{8}{9})^{5}=RM 31630.95 This is the value of the car according to the formula.

However, this value can be approximated to:

RM 31631

6 0
4 years ago
A social scientist is interested in determining if there is a significant difference in the proportion of Republicans between tw
AysviL [449]

Answer:

B. The evidence is very strong - there is NO difference in the proportion of Republicans between the two areas of town.

Step-by-step explanation: Generally, a p-value of less than 0.05 is described as a strong evidence in favour of the null hypothesis. A p-value also known as the probability value is also known to provide the smallest level of evidence at which the null hypothesis would be rejected.

In the question, The p-value is 0.105 which is bigger in value than 0.05 which means there is no significant difference between the evidence and the null hypothesis.

3 0
3 years ago
I am stuck at this question​
Marrrta [24]

Answer:

Step-by-step explanation:

B(2,10); D(6,2)

Midpoint(x1+x2/2, y1+y2/2) = M ( 2+6/2, 10+2/2) = M(8/2, 12/2) = M(4,6)

Rhombus all sides are equal.

AB = BC = CD =AD

distance = √(x2-x1)² + (y2- y1)²

As A lies on x-axis, it y-co ordinate = 0; Let its x-co ordinate be x

A(X,0)

AB = AD

√(2-x)² + (10-0)² = √(6-x)² + (2-0)²

√(2-x)² + (10)² =  √(6-x)² + (2)²

√x² -4x +4 + 100 =  √x²-12x+36 + 4

√x² -4x + 104 =  √x²-12x+40

square both sides,

x² -4x + 104 =  x²-12x+40

x² -4x - x²+ 12x = 40 - 104

             8x = -64

               x = -64/8

               x = -8

A(-8,0)

Let C(a,b)

M is AC midpoint

(-8+a/2, 0 + b/2)  = M(4,6)

     (-8+a/2, b/2)  = M(4,6)

Comparing;  

-8+a/2 = 4          ; b/2 = 6

  -8+a = 4*2       ; b = 6*2

  -8+a = 8          ; b = 12

        a = 8 +8

       a = 16

Hence, C(16,12)

6 0
3 years ago
Three roots of a polynomial equation with real coefficients are 3, 5 – 3i, and −3i. Which of the following numbers must also be
Leviafan [203]

Answer is D (−3, 5 + 3i, and 3i)

4 0
3 years ago
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