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3 years ago

Any help would be very appreciated

Mathematics

1 answer:

inna [77]3 years ago

7 0

Answer:

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp/ adj

tan 60 = x / 7 sqrt(3)

7 sqrt(3) tan 60 = x

7 sqrt(3) sqrt(3) = x

7*3 = x

21 = x

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I'll mark as brainliest if it lets me;-;<br>please answer B. & C. with solution:)

san4es73 [151]

Answer:

B. AC = 22, BC = 22, AB = 44

C. AC = 30, BC = 30, AB = 60

Step-by-step explanation:

$radius \: \overline {OR} \perp chord \: \overline {AB}$ at C. (given)

$\therefore AC = BC$ (perpendicular dropped from the center of the circle to the chord bisects the chord)

$\therefore 2x - 6 = x + 8$

$\therefore 2x - x= 6 + 8$

$\therefore x= 14$

$AC = 2x-6=2(14)-6=28-6= 22$

$BC= x + 8=14 + 8= 22$

AB = AC + BC = 22 + 22 = 44

$radius \: \overline {OR} \perp chord \: \overline {AB}$ at C. (given)

$\therefore BC = AC$ (perpendicular dropped from the center of the circle to the chord bisects the chord)

$\therefore 7x-5=4x+10$

$\therefore 7x - 4x= 5 + 10$

$\therefore 3x= 15$

$\therefore x= \frac{15}{3}$

$\therefore x= 5$

$AC = 4x+10=4(5)+10=20+10= 30$

$BC= 7x - 5=7(5)-5=35-5= 30$

AB = AC + BC = 30 + 30 = 60

7 0

2 years ago

A baker has 7 3/4 bags of flour.Each bag of flour will make 60 cakes.How many cakes will the baker be able to make if she uses a

Burka [1]

The baker would be able to make 465 cakes. Or D.

Because, 7 x 60 = 420. 60 ÷ 4 = 15. 15 x 3 = 45. 420 + 45 = 465.

5 0

3 years ago

can someone help me understand this, please? For some reason my answer is correct but I need to understand how did I found the c

Morgarella [4.7K]

Answer with step-by-step explanation:

The way the question is worded, this actually shouldn't be correct. The correct answer should be $3:4$ .

Because the trapezoids are similar, we can find the ratio of their perimeters by actually just finding the ratio of their sides.

Why?

By definition, the corresponding sides of a polygon are in a constant proportion. The perimeter is simply the sum of all sides of the polygon. Since we're just adding the sides, the proportion will still be maintained.

Therefore, we'll just need to ratio of their corresponding sides. The only two corresponding sides that are marked are $\overline{RS}$ and $\overline{AB}$ .

The ratio of $\overline{RS}:\overline{AB}$ is $18:24\implies \boxed{3:4}$ .

The reason why it ideally should be $3:4$ and not $4:3$ is because the question states $RTSU\sim ABCD$ , which mentions $RSTU$ first, so our answer should follow this respective order. I believe you were marked right anyways because the specific order is not specified, but generally, you want to give your answer respectively by default.