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3 years ago

5

Please help- 15 points !!

1 answer:

kogti [31]3 years ago

3 0

Answer:

<h2>y = 97</h2>

Step-by-step explanation:

If a quadrilateral is inscribed in a circle, the opposite angles add to 180°.

Therefore:

$83^o+y^o=180^o$ <em>subtract 83° from both sides</em>

$83^o-83^o+y^o=180^o-83^o\\\\y^o=97^o$

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What is the volume of a small cone if:

Amiraneli [1.4K]

Answer:

Volume of smaller cone =301.44

Step-by-step explanation:

First let angle of cone be $\alpha$ .

then $sin(\alpha )$ = 3/5 (For bigger triangle)

Same cone angle is for smaller one because they are similar.

$cos(\alpha )$ = 4/5

Now for smaller cone radius be R

3/5 =R/Slant height

Slant height =5/3R

Lateral surface area = $\frac{1}{2}R^{2}\beta$ [R = slant height]

Given lateral surface area =60 $\pi$ = $\frac{1}{2}(\frac{5R}{3} )^{2} \beta$ ...................................1

$2\pi R=\frac{5R}{3}\beta$ ................................................2

$\beta=\frac{6\pi }{5}$

Put angle beta in equation 1 and find the value of R

R =6 cm

Height = $\frac{4R}{3}$

Thus volume = $\frac{1}{3}\pi6^{2}*8$

=301.44

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2 years ago

10 points and brainliest. solve by elimination

evablogger [386]

Answer:

(3,-7) I think.

Step-by-step explanation:

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2 years ago

A used automobile dealership recently reduced the price of a used compact car by 6%. If the price of the car before discount was

Alchen [17]

Answer:

The discount = $1,128

New price = $17,672

Step-by-step explanation:

Price of car before discount = $18,800

Discount given = 6% of price of car

Discount value in dollars = 6% of $18,800 = 6/100*$18,800 = $1,128

Thus, the discount is $1,128

New price = Price of car before discount - discount = $18,800- $1,128

New price = $17,672

7 0

3 years ago

What is the sum of y and 42 is at least 150

prohojiy [21]

Answer:

$y + 42 \geqslant 150 \\ y \geqslant 150 - 42 \\ y \geqslant 108$

7 0

2 years ago

Read 2 more answers

Solving Rational Inequalities and use sign diagram to sketch the graph. Image attached for better understanding.

hjlf

Answer:

x ∈ (-∞ , -2) ∪ (1, 3)

Step-by-step explanation:

The expression is already factored. Note that for the polynomial that appears in the numerator $(x-3)(x + 2)$ there are 2 roots:

$x = 3\\x = -2$

For the polynomial that appears in the denominator there is 1 root:

$x = 1$

Note that $x = 1$ does not belong to the domain of f(x) because it zeroes the denominator of the function and the division between zero is not defined.

With these three roots we do the study of signs to find out when $f(x)$

Observe the attached image

Note that:

$(x-3)$ when $x$

$(x + 2)$ when $x$

$(x-1)$ when $x$

Finally, we have the solution:

x ∈ (-∞ , -2) ∪ (1, 3)

5 0

3 years ago