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3 years ago

A dog is 3 and one half

1 answer:

8 0

The height of the dog is 1 and two fifths. I use decimals, so it would be 1.4 feet tall. The owner is 3.75 times tall as the dog. We need to multiply.
1.4×3.75
5.25
The owner is 5 1/4 feet tall.

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Cone A has a radius of 2 inches and a height of 3 inches. In cone B, the height is the same, but the radius is doubled. Calculat

Sophie [7]

Formula: pi* r^2* h/3
Cone A= 12.57
Cone B= 50.27

6 0

3 years ago

Solve The Equation <br> 4x×9y=7<br> 4x-9y=9

hoa [83]

Answer:

$\large\boxed{x=\dfrac{9}{8}-\dfrac{\sqrt{109}}{8},\ y=-\dfrac{1}{2}-\dfrac{\sqrt{109}}{18}}\\or\\\boxed{x=\dfrac{9}{8}+\dfrac{\sqrt{109}}{2},\ y=-\dfrac{1}{2}+\dfrac{\sqrt{109}}{18}}$

Step-by-step explanation:

$\left\{\begin{array}{ccc}4x\times9y=7&(1)\\4x-9y=9&(2)\end{array}\right\\\\(2)\\4x-9y=9\qquad\text{subtract}\ 4x\ \text{from both sides}\\-9y=-4x+9\qquad\text{change the signs}\\9y=4x-9\qquad\text{substitute it to (1)}\\\\4x(4x-9)=7\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\(4x)(4x)+(4x)(-9)=7\\(4x)^2-36x=7\\(4x)^2-2(4x)(4.5)=7\qquad\text{add}\ 4.5^2\ \text{to both sides}\\(4x)^2-2(4x)(4.5)+4.5^2=7+4.5^2\qquad\text{use}\ (a-b)^2=a^2-2ab+b^2$

$(4x-4.5)^2=7+20.25\\(4x-4.5)=27.25\to 4x-4.5=\pm\sqrt{27.25}\\\\4x-\dfrac{45}{10}=\pm\sqrt{\dfrac{2725}{100}}\\\\4x-\dfrac{45}{10}=\pm\dfrac{\sqrt{2725}}{\sqrt{100}}\\\\4x-\dfrac{45}{10}=\pm\dfrac{\sqrt{25\cdot109}}{10}\\\\4x-\dfrac{45}{10}=\pm\dfrac{\sqrt{25}\cdot\sqrt{109}}{10}\\\\4x-\dfrac{45}{10}=\pm\dfrac{5\sqrt{109}}{10}\qquad\text{add}\ \dfrac{45}{10}\ \text{to both sides}\\\\4x=\dfrac{45}{10}\pm\dfrac{5\sqrt{109}}{10}$

$4x=\dfrac{9}{2}\pm\dfrac{\sqrt{109}}{2}\qquad\text{divide both sides by 4}\\\\x=\dfrac{9}{8}\pm\dfrac{\sqrt{109}}{8}\\\\\text{Put the values of}\ x\ \text{to (2):}\\\\9y=4\left(\dfrac{9}{8}\pm\dfrac{\sqrt{109}}{8}\right)-9\\\\9y=\dfrac{9}{2}\pm\dfrac{\sqrt{109}}{2}-\dfrac{18}{2}\\\\9y=-\dfrac{9}{2}\pm\dfrac{\sqrt{109}}{2}\qquad\text{divide both sides by 9}\\\\y=-\dfrac{1}{2}\pm\dfrac{\sqrt{109}}{18}$

8 0

3 years ago

What is X equal to? PS it’s not 180

AVprozaik [17]

Answer:

x = 47

Step-by-step explanation:

86° and 2x° are supplementary angles, which means that added together they should equal 180° (which is a line). Aka

86 + 2x = 180 (Let's solve for x) (subtract both sides by 86 to get x on one side)

2x = 94 (divide both sides by 2 to get x by itself)

x = 47

7 0

2 years ago

Each morning, Stacey makes 20 cinnamon bagels for his customers at Barney's Bagels. Because of a recent increase in the populari

soldi70 [24.7K]

Answer: Stacey now bakes 36 cinnamon bagels.

Step-by-step explanation:

Given: Each morning, Stacey makes 20 cinnamon bagels.

She has increased the number she bakes each morning by 80%.

Number of cinnamon bagels Stacey bake = 20+80% of 20

= 20+ (0.80)x 20 [To remove % , divide number by 100, So 80%=0.08]

= 20+16 [(0.80)x 20=16 ]

= 36

Hence, Stacey now bakes 36 cinnamon bagels.

3 0

3 years ago

A commuter has $245 in his commuter savings account. This account

tino4ka555 [31]

I’m not 100% sure but probably 16 weeks

8 0

3 years ago