What is the area of 3 5\7ft by 2 6\7ft

Mathematics

1 answer:

erica [24]3 years ago

4 0

3 5/7 x 2 6/7
= 3.71428564 x 2.8571428
= 10.6 ft^2 (3 sig. fig.)

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Mr. Rr the Rreliable Rrobot has been programmed to whistle every $18$ seconds and do a jumping jack every $42$ seconds, starting

sveta [45]

Answer:

7 times during the first 15 minutes

Step-by-step explanation:

Remember that

$1\ min=60\ sec$

$15\ min=15(60)=900\ sec$

Decompose the numbers 18 and 42 in prime factors

we know that

$18=(2)(3^2)$

$42=(2)(3)(7)$

Find the least common multiple (LCM)

The LCM is

$(2)(3^2)(7)=126\ sec$

we need to find all multiples of 126 that are less than or equal 900.

$126*1=126\ sec\\126*2=252\ sec\\126*3=378\ sec\\126*4=504\ sec\\126*5=630\ sec\\126*6=756\ sec\\126*7=882\ sec$

therefore

7 times during the first 15 minutes

7 0

2 years ago

What is the solution to the equation

Dafna11 [192]

$\sqrt{4t+5}=3-\sqrt{t+5}\\\\D:4t+5\geq0\ \wedge\ t+5\geq0\ \wedge\ \sqrt{t+5}\leq3\\\\t\geq-\dfrac{5}{4}\ \wedge\ t\geq-5\ \wedge\ t\leq6$

therefore
$D:x\in\left< -\dfrac{5}{4};\ 6\right>$

$\sqrt{4t+5}=3-\sqrt{t+5}\ \ \ |^2\\\\(\sqrt{4t+5})^2=(3-\sqrt{t+5})^2\ \ \ |use:(a-b)^2=a^2-2ab+b^2\\\\4t+5=3^2-2\cdot3\cdot\sqrt{t+5}+(\sqrt{t+5})^2\\\\4t+5=9-6\sqrt{t+5}+t+5\ \ \ \ |-t\\\\3t+5=14-6\sqrt{t+5}\ \ \ \ |-14\\\\3t-9=-6\sqrt{t+5}\ \ \ \ |change\ signs$
$9-3t=6\sqrt{t+5}\ \ \ \ |:3\\\\3-t=2\sqrt{t+5}\ \ \ \ |^2\\\\(3-t)^2=(2\sqrt{t+5})^2\\\\3^2-2\cdot3\cdot t+t^2=4(t+5)\\\\9-6t+t^2=4t+20\ \ \ |-4t-20\\\\t^2-10t-11=0\\\\t^2+t-11t-11=0\\\\t(t+1)-11(t+1)=0\\\\(t+1)(t-11)=0\iff t+1=0\ \vee\ t-11=0\\\\t=-1\in D\ \vee\ t=11\notin D$
Answer: t = -1.

7 0

2 years ago

Read 2 more answers

Would really appreciate the help, can't seem to figure out the answer;-;

Dafna11 [192]

Answer:

-1*70

Step-by-step explanation:

-1*70=-71

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2 years ago

What is the value of x?