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3 years ago

Find the missing number in this proportion. 7 / 35 = ? / 28

Mathematics

1 answer:

Phantasy [73]3 years ago

6 0

using proportional law 5.6

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Explain concept of base-ten blocks to 4.9÷7=

AleksandrR [38]

4.9÷7=0.7 because 49÷7=7, 4.9=49/10, and 7/10=0.7

6 0

3 years ago

At a certain time of the day, a tree that is x meters tall casts a shadow that is x-49 meters long. If the distance from the top

nikklg [1K]

The height of the tree is 60 meters.

Explanation:

Let the height of the tree be x. The tree casts a shadow of $x-49$ meters and the distance from the top of the tree to the end of the shadow is $x+1$ meters.

The sides of the triangle are attached in the image below:

Using pythagoras theorem,

$x^{2}+(x-49)^{2}=(x+1)^{2}$

Expanding, we get,

$2 x^{2}-98 x+2401=x^{2}+2 x+1$

$2 x^{2}-98 x+2400=x^{2}+2 x$

$2 x^{2}-100 x+2400=x^{2}$

$x^{2}-100 x+2400=0$

Solving the equation using the quadratic formula $x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$ , we get,

$x=\frac{-(-100)\pm\sqrt{(-100)^{2}-4 \cdot 1 \cdot 2400}}{2 \cdot 1}$

Simplifying, we have,

$x=\frac{100\pm\sqrt{10000-9600}}{2}$

$x=\frac{100\pm\sqrt{400}}{2}$

$x=\frac{100\pm{20}}{2}$

Thus,

$x=\frac{100+20}{2} \\x=\frac{120}{2} \\x=60$ and $x=\frac{100-20}{2} \\x=\frac{80}{2} \\x=40$

where the value $x=40$ is not possible because substituting the value $x=40$ in $x-49$ results in negative solution. Which is not possible.

Hence, the value of x is 60.

Thus, The height of the tree is 60 meters.

7 0

2 years ago

Ten is at least the product of a number h and 5

REY [17]

10>5h is an inequality that represents this. Don’t forget the line under the symbol! It shows possibly equal to. It’s not on my keyboard.

7 0

3 years ago

Solve for n: 5/6n=10

Helen [10]

Answer:

n = 12

Step-by-step explanation:

Hope this helps~

divide 5/6 on both sides to get your answer!

5 0

3 years ago

Read 2 more answers

1 2 3 4 5 6 7 8 9 10

Ksju [112]

In a linear functions, f(x)=mx+b, your y-intercept is b. So any function that is any number times x plus 3 is going to give you a y intercept of 3.

6 0

3 years ago