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3 years ago

12

ILL GIVE BRAINLIEST!! PLS HELP!!! Ten students are taking both algebra and drafting. There are 24 students taking algebra. There

are 11 students who are taking drafting only. How many students are taking algebra or drafting but not both?

2 answers:

Minchanka [31]3 years ago

4 0

Answer:

15 students

Step-by-step explanation:

from the algebra = 24 - 10 = 14

from the draft = 11 - 10 = 1

14 + 1 = 15

the total students that are taking algebra or drafting but not both is 15 students

Galina-37 [17]3 years ago

3 0

Answer:

algebra:34 drafting:21 (use only one answer)

Step-by-step explanation:

10 + 24 =34 for algebra

10 + 11 = 21 for drafting

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Find the angle between u =the square root of 5i-8j and v =the square root of 5i+j.

fenix001 [56]

Answer:

The angle between vector $\vec{u} = 5\, \vec{i} - 8\, \vec{j}$ and $\vec{v} = 5\, \vec{i} + \, \vec{j}$ is approximately $1.21$ radians, which is equivalent to approximately $69.3^\circ$ .

Step-by-step explanation:

The angle between two vectors can be found from the ratio between:

their dot products, and
the product of their lengths.

To be precise, if $\theta$ denotes the angle between $\vec{u}$ and $\vec{v}$ (assume that $0^\circ \le \theta < 180^\circ$ or equivalently $0 \le \theta < \pi$ ,) then:

$\displaystyle \cos(\theta) = \frac{\vec{u} \cdot \vec{v}}{\| u \| \cdot \| v \|}$ .

<h3>Dot product of the two vectors</h3>

The first component of $\vec{u}$ is $5$ and the first component of $\vec{v}$ is also

The second component of $\vec{u}$ is $(-8)$ while the second component of $\vec{v}$ is $1$ . The product of these two second components is $(-8) \times 1= (-8)$ .

The dot product of $\vec{u}$ and $\vec{v}$ will thus be:

$\begin{aligned} \vec{u} \cdot \vec{v} = 5 \times 5 + (-8) \times1 = 17 \end{aligned}$ .

<h3>Lengths of the two vectors</h3>

Apply the Pythagorean Theorem to both $\vec{u}$ and $\vec{v}$ :

$\| u \| = \sqrt{5^2 + (-8)^2} = \sqrt{89}$ .
$\| v \| = \sqrt{5^2 + 1^2} = \sqrt{26}$ .

<h3>Angle between the two vectors</h3>

Let $\theta$ represent the angle between $\vec{u}$ and $\vec{v}$ . Apply the formula $\displaystyle \cos(\theta) = \frac{\vec{u} \cdot \vec{v}}{\| u \| \cdot \| v \|}$ to find the cosine of this angle:

$\begin{aligned} \cos(\theta)&= \frac{\vec{u} \cdot \vec{v}}{\| u \| \cdot \| v \|} = \frac{17}{\sqrt{89}\cdot \sqrt{26}}\end{aligned}$ .

Since $\theta$ is the angle between two vectors, its value should be between $0\; \rm radians$ and $\pi \; \rm radians$ ( $0^\circ$ and $180^\circ$ .) That is: $0 \le \theta < \pi$ and $0^\circ \le \theta < 180^\circ$ . Apply the arccosine function (the inverse of the cosine function) to find the value of $\theta$ :

$\displaystyle \cos^{-1}\left(\frac{17}{\sqrt{89}\cdot \sqrt{26}}\right) \approx 1.21 \;\rm radians \approx 69.3^\circ$ .

3 0

3 years ago

I will mark you brainiest if you can answer this

rosijanka [135]

Answer:

Step by step below

Step-by-step explanation:

center of dilation: W

Similarity statement:

wx/wx' = wz/wz' = xy/x'y' = yz/y'z' = 5/3

∠w = ∠w=90°, ∠x = ∠x'=90°, ∠y = ∠y'=90°, ∠z = ∠z'=90°

square wx'y'z' ~ wxyz

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3 years ago

If lee spends 9$ on 3 comic books and each comic book costs the same amount. What is the numerical expression to that

Rina8888 [55]

3b=$9
let b be comic books
divide both side by 3 which gets you the answer of b=$3

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3 years ago

If Pam has 40 dollars in her account, how much money does her brother have in his account? Use a tape diagram to support your an

katen-ka-za [31]

Pam and her brother both open savings accounts. each begin with a balance of $0. For every $2 is that Pam saves in her account her brother saves $5 in his account

P:bro=2:5
when P=40 what is bro?

2/5=40/b
times 5b both sides
2b=200
divide 2
b=100
bro has $100
not sure what tape diagram is

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3 years ago

1 MORE PERSON Ok guys ik that this isn't a part of academic but i wanna say a story ... since i had 15 subs ive always wanted 10

vivado [14]

Answer:

I'll sub ig.

I have to write 20 letters to submit so just ignore this part :)

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3 years ago