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slega [8]
4 years ago
8

A toy store marks down every toy by 15% in June. How much does a toy cost during June?

Mathematics
1 answer:
iragen [17]4 years ago
7 0

Answer:

since the toy is marked down 15%,

you do p*.85  

to find the remaining cost

Step-by-step explanation:

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Find the exact values of a) sec of theta b)tan of theta if cos of theta= -4/5 and sin<0
Gre4nikov [31]

Answer:

Using trigonometric ratio:

\sec \theta = \frac{1}{\cos \theta}

\tan \theta = \frac{\sin \theta}{\cos \theta}

From the given statement:

\cos \theta = -\frac{4}{5} and sin < 0

⇒\theta lies in the 3rd quadrant.

then;

\sec \theta = \frac{1}{-\frac{4}{5}} = -\frac{5}{4}

Using trigonometry identities:

\sin \theta = \pm \sqrt{1-\cos^2 \theta}

Substitute the given values we have;

\sin \theta = \pm\sqrt{1-(\frac{-4}{5})^2 } =\pm\sqrt{1-\frac{16}{25}} =\pm\sqrt{\frac{25-16}{25}} =\pm \sqrt{\frac{9}{25} } = \pm\frac{3}{5}

Since, sin < 0

⇒\sin \theta = -\frac{3}{5}

now, find \tan \theta:

\tan \theta = \frac{\sin \theta}{\cos \theta}

Substitute the given values we have;

\tan \theta = \frac{-\frac{3}{5} }{-\frac{4}{5} } = \frac{3}{5}\times \frac{5}{4} = \frac{3}{4}

Therefore, the exact value of:

(a)

\sec \theta =-\frac{5}{4}

(b)

\tan \theta= \frac{3}{4}

7 0
4 years ago
Solve the equation by completing the square. <br><br> y^2+8y+7=0<br><br> A+LS Question
galben [10]

Answer:

the answer is written in the picture

8 0
3 years ago
If six pencils cost 0.59 how many pencils can you buy for $2.95?
Serga [27]

Answer:

You can only buy 29 pencils with $2.95

Each pencil costs $0.10. You'd be able to buy 29 pencils and keep $0.05

You can't buy an extra pencil with $0.05. You need $0.10 to buy a pencil.

Step-by-step explanation:

P=Pencils(s)

n=Number of pencils that can be bought for $2.95

-------------------

nP=$2.95

----------------

But 6P=$0.59

So P=($0.59)/6

------------------

Therefore:

n($0.59/6)=$2.95

n=($2.95)/($0.59/6)

n=30

(Hope this helps can I pls have brainlist (crown) ☺️)

3 0
3 years ago
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Match the system of equations on the left with the appropriate solution on the right.
krok68 [10]

Answer:

Step-by-step explanation:

it's really long to write it this web page could help understand system of equations. "https://study.com/academy/lesson/types-of-systems-of-equations.html"

the answers are :1-3 , 2-5. 3-4. 4-5 .

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Both families use 1250 kWh for the given 30 day period. The Freeman family uses 400 kWh during on-peak hours and 850 during off-
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Ok ummm I honestly don’t know I’m so sorry I couldn’t help you wit this prob
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