Right Triangles

Solve the right triangle shown in the figure
BC = 2.7cm, AC = 1.1cm, ∠C = 90°

a. ∠A = 68°, ∠B = 22°. AB = 2.9cm
b. ∠A = 22°, ∠B = 68°, AB = 2.9cm
c. ∠A = 63°, ∠B = 27°, AB = 2.9cm
d. ∠A = 24°, ∠B = 66°, AB 3.8cm

Please select the best answer from choices provided

Answers

Answer 1

Answer:

A. ∠A = 68°, ∠B = 22°, AB = 2.9cm

Step-by-step explanation:

I calculated it logically


Related Questions

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Answers

After effects? NEW FEATUFES? WHAT!

The second one is -3

Answers

Answer:

what are u talking about

Step-by-step explanation:

⊙O and ⊙P are given with centers (−2, 7) and (12, −1) and radii of lengths 5 and 12, respectively. Using similarity transformations on ⊙O, prove that ⊙O and ⊙P are similar.

Answers

Answer:

Whereby circle [tex]\bigodot[/tex]P can be obtained from circle [tex]\bigodot[/tex]O by applying the transformations of a translation of T₍₁₄, ₋₈₎ followed by a dilation by a scale factor of 2.4, [tex]\bigodot[/tex]O is similar to [tex]\bigodot[/tex]P

Step-by-step explanation:

The given center of the circle [tex]\bigodot[/tex]O = (-2, 7)

The radius of [tex]\bigodot[/tex]O, r₁ = 5

The given center of the circle [tex]\bigodot[/tex]P = (12, -1)

The radius of [tex]\bigodot[/tex]P, r₂ = 12

The similarity transformation to prove that [tex]\bigodot[/tex]O and [tex]\bigodot[/tex]P are similar are;

a) Move circle [tex]\bigodot[/tex]O 14 units to the right and 8 units down to the point (12, -1)

b) Apply a scale of S.F. = r₂/r₁ = 12/5 = 2.4

Therefore, the radius of circle [tex]\bigodot[/tex]O is increased by 2.4

We then obtain [tex]\bigodot[/tex]O' with center at (12, -1) and radius r₃ = 2.4×5 = 12 which has the same center and radius as circle [tex]\bigodot[/tex]P

∴ Circle [tex]\bigodot[/tex]P can be obtained from circle [tex]\bigodot[/tex]O by applying similarity transformation of translation of T₍₁₄, ₋₈₎ followed by a dilation by a scale factor of 2.4, [tex]\bigodot[/tex]O is similar to [tex]\bigodot[/tex]P.

HELP ME PLEASEEEEEEEEEEEEEEEE

Answers

Answer:

52

Step-by-step explanation:

break down the shapes into simpler ones

do base X height for both

add both

Answer:

52cm^2

Step-by-step explanation:

Split the figure into 3 rectangles or squares and find the area of the individual shapes, add all the areas together and you should get 52cm^2

Verify: 4tan(θ)sec(θ) = (1+sin(θ)/1−sin(θ)) − (1−sin(θ)/1+sin(θ))

Answers

Working with the right side,

(1 + sin(θ))/(1 - sin(θ)) - (1 - sin(θ))/(1 + sin(θ))

multiply the first term by (1 + sin(θ))/(1 + sin(θ)) and the second one by (1 - sin(θ))/(1 - sin(θ)). This gives

(1 + sin(θ))/(1 - sin(θ)) • (1 + sin(θ))/(1 + sin(θ)) = (1 + sin(θ))^2 / (1 - sin^2(θ))

… = (1 + sin(θ))^2 / cos^2(θ)

and

(1 - sin(θ))/(1 + sin(θ)) • (1 - sin(θ))/(1 - sin(θ)) = (1 - sin(θ))^2 / (1 - sin^2(θ))

… = (1 - sin(θ))^2 / cos^2(θ)

Now combine the fractions, expand the numerator, and simplify:

(1 + sin(θ))^2 / cos^2(θ) - (1 - sin(θ))^2 / cos^2(θ) = ((1 + sin(θ))^2 - (1 - sin(θ))^2) / cos^2(θ)

… = ((1 + 2 sin(θ) + sin^2(θ)) - (1 - 2 sin(θ) + sin^2(θ))) / cos^2(θ)

… = 4 sin(θ) / cos^2(θ)

… = 4 • sin(θ)/cos(θ) • 1/cos(θ)

… = 4 tan(θ) sec(θ)

pls help and stay tuned bcs their will be more questions bcs i just not that smart
._.

Answers

Answer:

I beileve it is Y.

Step-by-step explanation:

I need help please this isath i need my grade thx alot

Answers

Answer:

A, -475ft

Step-by-step explanation:

Answer: -475 ft

Step-by-step explanation: -95 x 5= -475

11/15 = w — 8/15 help me

Answers

Answer:

w=19/15

Step-by-step explanation:

11/15 = w - 8/15  |*15

11 = 15w-8 => 15w=8+11 => 15w=19 => w=19/15

A customer goes to a bank and gets change for a $100 bill. The change is to be in $1, $5, and $10 bills. There were four times as many $5 bills as $10 bills. If there are 25 bills in all, how many are $5 bills?

Answers

Answer:

12

Step-by-step explanation:

x = number of $1 bills

y = number of $5 bills

z = number of $10 bills

We know that:

x + y + z = 25 (total amount of bills)

x + 5y + 10z = 100 (total amount of money)

y = 4z (Given)

Substitute the third equation into the first one.

x + 4z + z = 25

x = 25 - 5z

Put this into the second equation.

(25 - 5z) + 5 (4z) + 10z = 100

Simplify and solve.

25 - 5z + 20z + 10z = 100

25z + 25 = 100

25z = 75

z = 3

Substitute this into y = 4z

y = 4 * 3

y = 12

So, there are 12 $5 bills.

Answer:

12 $5 bills

Step-by-step explanation:

Represent the number of each kind of bill by x, y and z:  there are x $1 bills, y $5 bills and z $10 bills.

According to the problem statement,

x + y + z = 25 and y = 4z (or z = y/4).  Also, the values of the bills add up to $100:

($1)x + ($5)y + ($10)z = $100.  Eliminate z by typing y/4 in its place:

x + y + (y/4) = 25 and

x  + 5y + 10(y/4) = 100

Doing this has reduced the number of variables to two:  x and y.  Combining like terms in both equations, we get:

1x + (5/4)y = 25 and

1x +  (30/4)y       =100

Subtracting the 1st equation from the 2nd, we get:

(25/4)y = 75, or

(4/25)(25/4)y = (4/25)(75) , or y = 12.

If y = 12, z = 12/4, or 3.

Then x + 12 + 3 = 25 coins in all; therefore, x = 15 = 25, and x = 10

There are 10-$1 bills, 12-$5 bills and 3-$10 bills.

In clinical trials of a newly developed cold medicine, it was found that 45 out of 200 individuals that took the new medicine (Group 1) experienced an upset stomach as a side effect and 33 out of 150 individuals that took a placebo (Group 2) experienced an upset stomach. Test to see if the new drug produced a significantly higher proportion of individuals experiencing upset stomach. Use a 0.01 level of significance. Select the correct alternative hypothesis and decision.

a. H: Pi≠P2; Do not reject the null hypothesis.
b. H1: p1>P2; Do not reject the null hypothesis.
c. H: Pi > p2; Reject the null hypothesis.
d. H1: p. e.) Hi: p1≠P2; Reject the null hypothesis.
f. H: P1

Answers

Answer:

Step-by-step explanation:

Group 1 Information:

sample size  :  n₁  =  200

individuals with stomach as a side effect  x₁  = 45

p₁ =  45 / 200   p₁ = 0,225   then  q₁  =  1  -  p₁   q₁ =  0,775

Group 2 Information:

sample size  :  n₂ =  150

individuals with stomach as a side effect  x₂  = 33

p₂  =  33/150  p₂ = 0,22   q₂   =  0,78

Hypothesis Test:

Null Hypothesis:                             H₀         p₁   =  p₂

Alternative Hypothesis                  Hₐ         p₁   >   p₂

The alternative hypothesis indicates that the test is a one-tail test  to the right

Significance level is   α = 0,01   ( confidence interval  99%)

From  z-table we get z(c) for that α     z(c) =  2,32

To calculate z(s)

z(s)  =  (  p₁  -  p₂ ) / EED

EED =  √ ( p₁*q₁)/n₁  +  ( p₂*q₂)/n₂

EED =  √ ( 0,225*0,775)/200   + (0,22*0,78)/150

EED =  √ 0,0008718  + 0,001144

EED =  0,045

z(s)  =  ( 0,225  -  0,22 ) / 0,045

z(s)  =  0,005 / 0,045

z(s)  =  0,11

Comparing z(s)  and  z(c)

z(s)  <  z(c)        0.11 < 2.32

Then z(s) is in the acceptance region. We accept  H₀ . We don´t have evidence to support differences between the two groups.

[2x(3+5)+6]x4 what is the value of this expression

Answers

Answer:

16x5+6x4

Step-by-step explanation:

(2x(3+5)+6)(x4)

=(2x(3+5)+6)(x4)

=(2x(3+5))(x4)+(6)(x4)

=16x5+6x4

Answer:

88

Step-by-step explanation:

to solve these kind of questions use BODMAS

Suppose A and B are independent events. If P(A) = 0.6 and P(B) = 0.85, what is P(A and B)?
A. .34
B. .51
C. .17
D. .68

Answers

Answer:0.51 I just took the test

Step-by-step explanation:

A square with a side length of 30 cm is divided into 4 triangles which expression CANNOT be used to find the area of one of the four small triangles
A. 302 divided by 4
B. 1/2(30 x 15)
C. (30 x 30) divided by 2
D. 450/2

Answers

Answer: A

Step-by-step explanation:

Kayla was cutting right triangles from wood to use for an art project. Two of the right triangles she cut are shown below

Answers

Answer:

The answer is "[tex]28^{\circ}[/tex]"

Step-by-step explanation:

Please find the complete question in the file.  

The angle F measure is identical to the angle C measure.

The adjacent BC and the hypotenuse AC have been developed. That would be used cosine.

[tex]\cos C = \frac{15}{17}\\\\C =\ cos^{-1}\frac{15}{17} = 28.07\approx 28^{\circ}[/tex]

How many feet are in 5 yards

Answers

Answer:

15 feet

Step-by-step explanation:

Forumula: Multiply the length value by 3.

5*3= 15 feet

Hope this  helped! :)

Answer:

15 feet

Step-by-step explanation:

okay so in 1 yard is 3 feet

is it is 5 yards so there is 15 feet

(5x + 10) + (2x -3) =

Answers

x = -1 :)

First simplify. Then do
7x + 7 =
7x = -7
x = -1

Answer:

7x + 7

Step-by-step explanation:

Please help look at picture and solve for x I’ll mark u as brainliest and no links

Answers

Answer:

A x=18

Step-by-step explanation:

. Find the volume of a sphere with a radius of 23 feet. Round your answer to 2 decimal places. [Use pi = 3.14] *

Answers

Answer:

50.965.01

Step-by-step explanation:

Select the correct answer.
What is the value of this expression if h = 8, j = -1, and k
= -12?
А. 3
B
12
C.
36
D
-12
PLEASE HELP ME

Answers

Answer:

the answer is B so it's 12

Write an integer that represents the situation. Do not type any units, labels, or spaces on your answer will be scored as incorrect. The running back gained five yards on a play in football.​

Answers

Answer:

The integer that represents the situation is 5.

Step-by-step explanation:

When you gain 5 yards, that is considered a positive increase in value.

You can either put 5 or +5 because they indicate the same positive value.

Find the measure of the angle HELP PLSSS URGENT!

Answers

Answer:

It is 40 degrees

Step-by-step explanation:

The 2 lines, x and y are forming 90 degrees, and since we know that part of that complementary angle is 50 degrees, we would do:

50+x=90

-50    -50

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

x=40

Angel signed up for a streaming music service that costs $11 per month. The service allows Angel to listen to unlimited music, but if he wants to download songs for offline listening, the service charges $0.50 per song. How much total money would Angel have to pay in a month in which he downloaded 25 songs? How much would he have to pay if he downloaded ss songs?

Answers

Answer: $23.5

Step-by-step explanation:

0.5(x) + 11

0.5(25) + 11

$23.5

help please!
options are
10.2
17.6
8.8
13.4

Answers

9514 1404 393

Answer:

  (a)  10.2 ft

Step-by-step explanation:

The total surface area S is the sum of the base area and the lateral area. The base area is the area of the two triangular bases, which have a "base" of 6 ft and a height of 4 ft.

  area of 2 bases = 2(1/2)bh = bh = (6 ft)(4 ft) = 24 ft²

The lateral surface area is the sum of the areas of the three rectangular faces. That will be ...

  total face area = (4 ft)(x) +(6 ft)(x) +(7.2 ft)(x) = (17.2 ft)(x)

So, the total surface area is ...

  200 ft² = 24 ft² + (17.2 ft)(x)

  176 ft² = (17.2 ft)x . . . . . . . . . . subtract 24 ft²

  (176 ft²)/(17.2 ft) = x ≈ 10.2 ft . . . . . divide by the coefficient of x

The unknown prism height is about 10.2 ft.

What is the solution of -21 = n – 8?
a. n = -168
b. n = -29
c. n = -13
d. n = 168

Answers

The answer to this equation is n= -13

the value, of a 7 in the millions place, is how many times greater than the value of a 7 in the ten thousands place?

Answers

Answer:

Your answer would be 100! :)

What is the solution to the equation below round your answer to two decimal decimal places log4 x=2.1
A. x=8.40
B. x=18.38
C. x=8.17
D. x=19.45

Answers

Answer:

B 18.38

Step-by-step explanation:

log4x = 2.1

logx/log4 = 2.1

logx = log(4) x 2.1

logx = 1.2643

x = antilog(1.2643)

x = 18.38 (to 2 d.p)

Answer:

X=18.38

Step-by-step explanation:


There are 44 rabbits. What is 44 rounded to the nearest 10?

Answers

Answer:

4

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

44 is closer to 40 than 50 because 44-40 = 4, 50-44=6 and 4<6

What is 94.53 ÷ 2.3?
O 41.1
O4.11
O 411
O 0.411​

Answers

It’s 0.441 just really got to read it right that’s all

(no links please and than you! :))

Answers

Answer:

Line D represents a proportional relationship.

Step-by-step explanation:

In an easy way to explain what a proportional relationship is, it is basically a line graph that passes through the origin point. When a line graph passes through the origin point (0,0), it is proportional.

Other graphs do not intersect the origin points so they are not proportional.

Answer:

Line D represents a proportional relationship.

Step-by-step explanation:

In an easy way to explain what a proportional relationship is, it is basically a line graph that passes through the origin point. When a line graph passes through the origin point (0,0), it is proportional.

Other graphs do not intersect the origin points so they are not proportional.

Diana can decorate 15 cookies in an hor; Jamie can decorate 15 cookies in two hours. How many hours would it take to decorate 60 cookies if they worked together?

Answers

Answer:

2.67 hours

Step-by-step explanation:

Diana: 15 cookies per hour

Jamie: 7.5 cookies per hour

15 + 7.5 = 22.5

22.5 cookies per hour

[tex]\frac{60}{22.5} =\frac{y}{1}[/tex]

22.5 · y = 60 · 1

22.5y = 60

22.5y ÷ 22.5 = 60 ÷ 22.5

[tex]y=2\frac{2}{3}[/tex]

[tex]2\frac{2}{3}[/tex]  rounded to the nearest hundredth is 2.67

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