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3 years ago

Consider the numbers 6 and √ 7 Which statement is true?

Mathematics

1 answer:

Luden [163]3 years ago

6 0

Answer:

Both the product and sum of the two numbers are irrational because

√

is an irrational number.

Step-by-step explanation:

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Taylor wants to make 2 1/2 times the quantity given in a recipe. The recipe calls for 1 3/4 cups of flour. How much flour will T

vodomira [7]

$2\frac{1}{2}=2.5$

$1\frac{3}{4}=1.75$

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a recipe say that we have to use 1.75 cups of flour, then 2.5 recipe we have to use $1.75*2.5$ cups of flour, it's iqual 4.375 cup of flour.

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3 years ago

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Krissy ran three miles one morning she ran the first mile in 11. 74 minutes the second mile in 11. 26 minutes in the third mile

gladu [14]

Add up all the miles- 11.74+12.12+11.26 is 35.12. 34.12 minutes is the answer

8 0

3 years ago

This figure consist of a rectangle a semi circle and a quarter circle what is the perimeter of this figure use 3.14 for pi

alexandr402 [8]

Answer:

37.55 m

Step-by-step explanation:

To find the perimeter, we have to add the lengths of each part of the figure.

We start from the circle on top. We see that its diameter is 10 m, therefore its radius is

r = 5 m

(because the radius is half the diameter). The perimeter of a circle is given by

$p=2 \pi r$

However, here we have half a circle, so its perimeter is

$p_1 = \pi r=(3.14)(5)=15.7 m$

Then continuing in a clockwise direction, we have to add the length of the side of 2 m:

$p_2 = 2 m$

Then we have two sides of a square of side 5 m, so:

$p_3 = 5 m + 5 m= 10 m$

Then we have a quarter of a circle of radius r = 5 m, so its perimeter is:

$p_4 = \frac{\pi r}{2}=\frac{\pi (5)}{2}=7.85 m$

Finally, we have one more side of length 2 m:

$p_5 = 2m$

Therefore, the total perimeter is:

$p=p_1+p_2+p_3+p_4+p_5=15.7+2+10+7.85+2=37.55 m$

4 0

4 years ago

What's 10 percent off of 10.35

MissTica

Answer:

the answer is 9.315

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3 years ago

Find the equation of the line that passes through (0, -3) and is parallel to

Tresset [83]

Hey there!

$\\$

Answer:

$\green{\boxed{\red{\bold{\sf{y = \dfrac{7}{6}x - 3}}}}}$

$\\$

Explanation:

To find the equation of a line, we first have to determine its slope knowing that parallel lines have the same slope.

Let the line that we are trying to determine its equation be $\: \sf{d_1} \:$ and the line that is parallel to $\: \sf{d_1} \:$ be $\: \sf{d_2} \:$ .

$\sf{d_2} \:$ passes through the points (9 , 2) and (3 , -5) which means that we can find its slope using the slope formula:

$\sf{m = \dfrac{\Delta y}{\Delta x} = \dfrac{\green{y_2} - \orange{y_1}}{\red{x_2} - \blue{x_1 }}}$

$\\$

⇒Subtitute the values :

$\sf{(\overbrace{\blue{9}}^{\blue{x_1}}\: , \: \overbrace{\orange{2}}^{\orange{y_1}}) \: \: and \: \: (\overbrace{\red{3}}^{\red{x_2}} \: , \: \overbrace{\green{-5}}^{\green{y_2}} )}$

$\implies \sf{m = \dfrac{\Delta y}{\Delta x} = \dfrac{\green{-5} - \orange{2}}{\red{ \: \: 3} - \blue{9 }} = \dfrac{ - 7}{ - 6} = \boxed{ \bold{\dfrac{7}{6} }}}$

$\sf{\bold{The \: slope \: of \: both \: lines \: is \: \dfrac{7}{6}}}$ .

Assuming that we want to get the equation in Slope-Intercept Form, let's substitute m = 7/6:

Slope-Intercept Form:

$\sf{y = mx + b} \\ \sf{Where \: m \: is \: the \: slope \: of \: the \: line \: and \: b \: is \: the \: y-intercept.}$

$\implies \sf{y = \bold{\dfrac{7}{6}}x + b}$ $\\$

We know that the coordinates of the point (0 , -3) verify the equation since it is on the line $\: \sf{d_1} \:$ . Now, replace y with -3 and x with 0:

$\implies \sf{\overbrace{-3}^{y} = \dfrac{7}{8} \times \overbrace{0}^{x} + b} \\ \\ \implies \sf{-3 = 0 + b} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \implies \sf{\boxed{\bold{b = -3}} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

Therefore, the equation of the line $\: \bold{d_1} \:$ is $\green{\boxed{\red{\bold{\sf{y = \dfrac{7}{6}x - 3}}}}}$

$\\$

▪️Learn more about finding the equation of a line that is parallel to another one here:

↣brainly.com/question/27497166

8 0

2 years ago

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