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nekit [7.7K]
2 years ago
14

ms. Diaz buys strawberries by the pound at a farmers market . she pays $21.25 for all her strawberries. one pound of strawberrie

s cost $4.25
Mathematics
1 answer:
Sphinxa [80]2 years ago
5 0

Answer:

5 strawberries

Step-by-step explanation:

$21.25÷$4.25=5

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The base of a triangle exceeds the height by 7 centimeters. If the area is 400 square centimeters, find the length of the base a
zvonat [6]

Answer:

Base = 32 cm

Height = 25 cm

Step-by-step explanation:

Area of a triangle can be calculated as:

Area = \frac{1}{2}\times Base \times Height

We are given that the base of triangle exceeds the height by 7 cm. This can be expressed in an equation form as:

Base = Height + 7

Lets use B to represent base and H to represent height

B = H + 7

The equation of area can be stated as:

Area=\frac{1}{2}bh\\\\ Area=\frac{1}{2}(h+7)(h)\\\\ 400=\frac{1}{2}h(h+7)\\\\ 800=h^{2}+7h\\\\ h^{2}+7h-800=0

This is a quadratic equation which can be solved using a quadratic equation as shown below:

h=\frac{-7+-\sqrt{49-4(1)(-800)} }{2(1)} \\\\ h=\frac{-7+-57}{2}\\\\h=-32,25

Since the height cannot be negative, we'll consider the positive value only i.e height is equal to 25 cm.

Therefore, the length of base will be 25 + 7 = 32 cm.

8 0
3 years ago
The complement of an acute angle is an obtuse angle. <br><br> A.) True<br><br> B.) False
PilotLPTM [1.2K]
Your answer is False because obtuse angles are wide acute angles are right in the like this:^ but turn it to the west a right angle is like an L so your answer is False.

Your answer is False or B.
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Answer:

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Step-by-step explanation:

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Answer:    X= 3

Step-by-step explanation:

x-4*x-2=0

+4.       +4

—————-

x*x-2=4

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——————

x*x=6

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/2.   /2

—————-

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