All categories

2 years ago

2. Gerald was given the following problem to solve for the length of the "?". He has made a mistake in his work.

Mathematics

1 answer:

Degger [83]2 years ago

5 0

Answer:

x = 18.7

Step-by-step explanation:

Gerald's answer is almost correct.

He just needs to switch the 14 and the x.

it should be

24/x = 18/14

solve for x by cross multiplication

18x = (24)(14)

18x = 336

x = 18.7

You might be interested in

Find the slope of the line using the slope formula. (-1 , 3 ) and ( -1, 0)

xenn [34]

Answer:

Three ways to find the slope of a line: You may have two points #(x_1,y_1)# and #(x_2,y_2)# (often one or both of these points may be intercepts of the #x# and/or #y# axes). The slope is given by the equation. #m=(y_2-y_1)/(x_2-x_1)#. You may have a linear equation that is either in the form or can be manipulated into the form. #y = mx + b#.

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

. Shanice is making a garden. The area of the garden is 24 ft2. Use the following shape and information to find the base (6−4) a

crimeas [40]

Answer:

The base and height of the garden are 4.60 ft and 5.60 ft.

Step-by-step explanation:

The area of the garden is, A = 24 ft².

The base height of the garden are:

base (b) = 6x - 4

height (h) = x + 3

Compute the value of x as follows:

$A=\frac{1}{2}\times b \times h\\\\24=\frac{1}{2}\times (6x-4) \times (x+3)\\\\48=6x^{2}+18x-4x-12\\\\6x^{2}+14x-60=0\\\\3x^{2}+7x-30=0\\$

The last equation is a quadratic equation.

Compute the roots of the quadratic equation as follows:

$x = \frac{ -b \pm \sqrt{b^2 - 4ac}}{ 2a }\\x = \frac{ -14 \pm \sqrt{14^2 - 4(3)(-30)}}{ 2(3) }\\x = \frac{ -14 \pm \sqrt{556}}{ 6 }\\x = \frac{ -14 }{ 6 } \pm \frac{2\sqrt{139}\, }{ 6 }\\x = -\frac{ 7}{ 3 } \pm \frac{ \sqrt{139}\, }{ 3 }\\x = 1.59661\\x\approx 1.60$

The value of base and height are:

$\text{base}=6x-4=(6\times 1.60)-4=5.60\ \text{ft}\\\\\text{height}=x+3=1.60+3=4.60\ \text{ft}$

Thus, the base and height of the garden are 4.60 ft and 5.60 ft.

3 0

2 years ago

What is the HCF of two consecutive numbers?

Luba_88 [7]

Answer: The HCF o two consecutive numbers is always one.

Step-by-step explanation: The reason behind this is that the two consecutive numbers do not have any common factor other than 1. Hence 1 becomes the highest common factor between two consecutive numbers

please mark brainliest

6 0

2 years ago

If 20 is 40% of a value, what is that value?

GuDViN [60]

20------40%

x-----100%

x=(20*100)/40

x=2000/40

x=50

3 0

2 years ago

Read 2 more answers

Which number produces an irrational number when multiplied by 1/3

MArishka [77]

We can simply observe that.

0.777... is rational, because it is a number with infinite but repeating decimal part.
1/3 is rational, because it's the division between two integers
$-\sqrt{16}=-4$ , so this is rational as well.

Since the product of two rational numbers is always rational, we have that

$0.\bar{7}\cdot \dfrac{1}{3},\quad \dfrac{1}{3}\cdot \dfrac{1}{3},\quad -4\cdot \dfrac{1}{3}$

are all rationals, since they are the product of two rationals.

On the other hand, we have

$\sqrt{27}=\sqrt{9\cdot 3}=3\sqrt{3}$

and thus

$3\sqrt{3}\cdot \dfrac{1}{3}=\sqrt{3}$

which is irrational.

3 0

2 years ago