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alexandr402 [8]

3 years ago

14

Matthew made a fruit salad, in which the ratio of blueberries to red grapes is 8:6. Write the ratio of red grapes to blueberries

in simplest form. [Type your ratio using a colon and without spaces.]

2 answers:

Alex787 [66]3 years ago

6 0

Answer:

8:6

Step-by-step explanation:

sorry if incorrect i realy dont know

g100num [7]3 years ago

3 0

Answer:

6:8

Step-by-step explanation:

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Find the Compound Amount.

crimeas [40]

A=p(1+i/m)^mn
A=980×(1+0.08÷4)^(4×5)
A=1,456.23

3 0

3 years ago

Find the angle between the given vectors. Round your answer, in degrees, to two decimal places. u=⟨2,−6⟩u=⟨2,−6⟩, v=⟨4,−7⟩

NISA [10]

Answer:

$\theta = 108.29$

Step-by-step explanation:

Given

$u =$

$v =$

Required:

Calculate the angle between u and v

The angle $\theta$ is calculated as thus:

$cos\theta = \frac{u.v}{|u|.|v|}$

For a vector

$A =$

$A = a * b$

$cos\theta = \frac{u.v}{|u|.|v|}$ becomes

$cos\theta = \frac{.}{|u|.|v|}$

$cos\theta = \frac{2*6+4*-7}{|u|.|v|}$

$cos\theta = \frac{12-28}{|u|.|v|}$

$cos\theta = \frac{-16}{|u|.|v|}$

For a vector

$A =$

$|A| = \sqrt{a^2 + b^2}$

So;

$|u| = \sqrt{2^2 + 6^2}$

$|u| = \sqrt{4 + 36}$

$|u| = \sqrt{40}$

$|v| = \sqrt{4^2+(-7)^2}$

$|v| = \sqrt{16+49}$

$|v| = \sqrt{65}$

So:

$cos\theta = \frac{-16}{|u|.|v|}$

$cos\theta = \frac{-16}{\sqrt{40}*\sqrt{65}}$

$cos\theta = \frac{-16}{\sqrt{2600}}$

$cos\theta = \frac{-16}{\sqrt{100*26}}$

$cos\theta = \frac{-16}{10\sqrt{26}}$

$cos\theta = \frac{-8}{5\sqrt{26}}$

Take arccos of both sides

$\theta = cos^{-1}(\frac{-8}{5\sqrt{26}})$

$\theta = cos^{-1}(\frac{-8}{5 * 5.0990})$

$\theta = cos^{-1}(\frac{-8}{25.495})$

$\theta = cos^{-1}(-0.31378701706)$

$\theta = 108.288386087$

<em></em> $\theta = 108.29$ <em> (approximated)</em>

4 0

3 years ago

What is the 11th term of the sequence<br> 1, 2, 4, 8, 16, ...?

iris [78.8K]

Answer:

1024

Step-by-step explanation:

16x2=32

32x2=64

64x2=128

128x2=256

256x2=512

512x2=1024

x= previous term multiplied by 2

hopefully this helps :)

5 0

3 years ago

Yall shiuld like kinda help...<br> youll be marked as “brainliest”

serg [7]

I’m getting (8 3/10 )
The picture explains more into depth

3 0

3 years ago

At 1:00, the minute and hour hands form a 30º angle. What is the measure of the angle at 8:00, in degrees?

Anvisha [2.4K]

The angle would be obtuse. So it would be over a 90* angle.
•1= 30*
•2= 60*
•3=90*
•4=120*
•5=150*
•6=180*
•7=210
•8=230*

3 0

3 years ago