In a triangle ABC, a=4 cm, b=3 cm and angleC=30°, find the area of triangle ABC.
a. 6
b. 1.5
c. 3
d. 3 root 3 ​

Answers

Answer 1
the correct answer is c

Related Questions

A fire extinguisher releases 27/4  liters of carbon dioxide in 9/16 minutes what is the speed in terms of liters per minute

Answers

Answer:

12 liters per min

Step-by-step explanation:

Math

27/4 = x

9/16      1

27/4=(9/16)x

Divide both sides by 9/16

12=x

What 23.5 x 10 to the power of two in scientific notation explain please

Answers

Answer:

2.35 x 10^3

Step by Step:

Rewrite the number in scientific notation.

2.35 x 10^3

What is the common ratio of the geometric sequence 6,4,8/3,16/9,...
r = 2
r = 2/3
r = -2
r = 3/2

Answers

The common ratio of the geometric sequence is: B. r = 2/3.

How to Find the Common Ratio of a Geometric Sequence?

The common ratio of a geometric sequence is determined by taking the last term and divide by the preceding term.

Given the geometric sequence, 6,4,8/3,16/9,..., the common ratio is calculated as follows:

16/9 ÷ 8/3 = 16/9 × 3/8 = 2/3 × 1/1 = 2/3

Or

8/3 ÷ 4 = 8/3 × 1/4 = 2/3

Or

4/6 = 2/3

Therefore, the common ratio of the geometric sequence is: B. r = 2/3.

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someone help me please with this algebra problem

Answers

Answer:

4

Step-by-step explanation:

3r = 10 + 5s

r = 10

3(10) = 10 + 5s

30 = 10 + 5r

20 = 5r

r = 4

Alexandra finished 3/5th of her work. What percentage of work did she complete?

Answers

Answer:

60 percent

Step-by-step explanation:

Covert 3/5th into percentage so the answer will be 60.

#CarryOnLearning

Which of the following equations represents the graph shown?

Answers

Answer:

ok from looking at this equation we can we that every it goes 1 up and on over so

-x+2

Hope This Helps!!!

Help please
What value of x will ensure that the shelves are parallel?

Answers

i’m pretty sure the answer is 84.

180-96=84

for the to be parallel both the angle must be equal

so 7x - 20 = 3x + 20 - > 4x = 40⁰

x = 10⁰

Please help!!! ASAP!

Answers

Answer:

so what we have to do first is multiply 9*10

which is 90 now we divide by two to get 45

now we multiply 45 by 20 to get

900

Hope This Helps!!!

(-9g5+ 9) + (4g5- 5)

Answers


−9​g5+9+4g5−5

−9g5+4g5+9−5

−5g5+9−5

Answer: −5g5+4



O(Q0) A(2,0), B(3, 2) and C(1, 2) are the vertices of quadrilateral OABC. Translate quadrilateral by translation vector [0,2]​

Answers

Answer:

A'(2,2) B'(3,4) C'(1,4) O'(Q,2)

Squares of Binomials
Please Help

Answers

16x4=64; so we need two numbers that add up to 16 and their product should be 64. So x=8

find 3 rational numbers between (-3-4) and (3/4)

Answers

Answer:

The three Rational between 3 and 4

A rational number between 3 and 4 is 1/2 (3 + 4) = 7/2. Hence, 13/4, 7/2 and 15/4 are the three rational numbers lying between 3 and 4.

Step-by-step explanation:


A nursery sells English, tea, and miniature rosebushes in red, pink, yellow, and white. How many
different types of rosebushes could you buy?

Answers

is this year 3 math? Its 4

four tens + four nines​

Answers

Answer:

[tex]76[/tex]

Step-by-step explanation:

Write the question in equation form

[tex]4(10)+4(9)[/tex]

Multiply

[tex]40+36[/tex]

Add

[tex]76[/tex]

What is the answer??

Answers

Answer:

80°

Step-by-step explanation:

Triangle ABC and CYZ are similar so the angles would also be same


Sarah borrows £500 for 2 years at a rate of 15% to buy a
new laptop.
Calculate the simple interest she will pay on this loan.

Answers

Answer: 150 pounds

Step-by-step explanation:

I don’t get this pls helppppppp!!!!!!!!!!!!

Answers

Answer:

1) f(x)<x+4

f(x)>-x-3

f(x)<5

[tex]ANSWER: (-3,4)[/tex]

2)2.5>0+2

2.5<0+3

2.5<0+5

[tex]ANSWER: (0,2.5)[/tex]

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

HOPE IT HELPS

HAVE A GREAT DAY!!

Someone pls help me ill give out brainliest pls don’t answer if you don’t know

Answers

Answer:

Rectangle shaped cross section is formed by intersection of plane and prism.

Step-by-step explanation:

Given: A rectangular Prism.

To find: Shape of Cross Section when a plane intersect the prism diagonally

A plane intersect the Rectangular prism .i.e, Cuboid diagonally which means plane passes from top edge of cuboid to edge on bottom on opposite side.

Figure is attached.

In this way we get a Rectangular shaped Cross section which includes edges of cuboid and diagonals of the side faces.

Therefore, Rectangle shaped cross section is formed by intersection of plane and prism.

Using Euler's formula, how
many edges does a polyhedron
with 5 faces and 5 vertices have?
[?] edges
Euler's Formula: F + V = E + 2

Answers

Answer:

8 edges

Step-by-step explanation:

Form the formula F+V=E+2

U make E the subject by moving everything thing else to the left hand side

F+V-2=E

this implies 5+5-2=E

10-2=E

therefore Edges = 8

The polyhedron with 5 faces and 5 vertices has 8 edges.

To determine the number of edges in a polyhedron with 5 faces and 5 vertices using Euler's formula (F + V = E + 2).

we need to substitute the given values into the equation.

Given:

Number of faces (F) = 5

Number of vertices (V) = 5

Substituting these values into Euler's formula, we have:

5 + 5 = E + 2

Simplifying the equation:

10 = E + 2

Subtracting 2 from both sides:

E = 10 - 2

E = 8

Therefore, the polyhedron with 5 faces and 5 vertices has 8 edges.

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The year of Average 11, 15, 17, X+1, 19, X-2, 3 is 14. Find median.​

Answers

Answer:

median of given data is 18

The data given is 11, 15, 17, x + 1, 19, x – 2, 3 Read more on Sarthaks.com - https://www.sarthaks.com/975527/for-the-data-11-15-17-x-1-19-x-2-3-if-the-mean-is-14-find-the-value-of-x-also-find-the-mode-of-the-data

Does this graph show a function? Explain how you know.
• A. No; there are yvalues that have more than one x-value.
O B. No; the graph fails the vertical line test.
O C. Yes; there are no yvalues that have more than one x-value.
O D. Yes; the graph passes the vertical line test.


HELP PLSS

Answers

The answer is d. If you draw a line straight up it doesn’t cross the line more than once.

which equation is represented by the table

Answers

Answer:

B. b = 3a + 2

Step-by-step explanation:

We can write the equation in slope-intercept form as b = ma + c, where,

m = slope/rate of change

c = y-intercept/initial value

✔️Find m using any two given pair of values, say (2, 8) and (4, 14):

Rate of change (m) = change in b/change in a

m = (14 - 8)/(4 - 2)

m = 6/2

m = 3

✔️Find c by substituting (a, b) = (2, 8) and m = 3 into b = ma + c. Thus:

8 = 3(2) + c

8 = 6 + c

8 - 6 = c

2 = c

c = 2

✔️Write the equation by substituting m = 3 and c = 2 into b = ma + c. Thus:

b = 3a + 2

Johan published a monthly poetry magazine. In March he printed 1400 copies of magazine. In April he increased his print run by 15%

Answers

Answer:

1610

Step-by-step explanation:

Answer:

1610

Step-by-step explanation:

you can easily get the solution without a calculator:

1400

+ 140 (+10%)

+ 70 (+5%)

= 1400 + 210

Find the lowest common multiple of 180 and 140.

Answers

Hello,

In prime decomposition:

180=2²*3²*5

140=2²*5*7

lcm(180,140)=2²*3²*5*7=1260

Proof: 1260/180=7 and 1260/140=9


A lighthouse casts a 128-ft shadow. A nearby lamppost that measures 5
feet casts an 8-foot shadow. What is the height of the light house, rounded
to the nearest foot? *

Answers

Answer:

80 ft

Step-by-step explanation:

Let the height of the light house be x feet.

[tex] \therefore \: \frac{128}{8} = \frac{x}{5} \\ \\ x = \frac{128 \times 5}{8} \\ \\ x = \frac{640}{8} \\ \\ x = 80 \: feet[/tex]

The midpoint, M , of segment AB has coordinates (2,−1) . If endpoint A of the segment has coordinates (−3,5) , what are the coordinates of endpoint B ?

The coordinates of endpoint B are?

Answers

the coordinates of endpoint B are (7,7)

Answer:

Solution given:

M(x,y)=(2,-1)

A[tex](x_{1},y_{1})=(-3,5)[/tex]

Let

B[tex](x_{2},y_{2})=(a,b)[/tex]

now

by using mid point formula

x=[tex]\frac{x_{1}+x_{2}}{2}[/tex]

$ubstituting value

2*2=-3+a

a=4+3

a=7

again

y=[tex]\frac{y_{1}+y_{2}}{2}[/tex]

$ubstituting value

-1*2=5-b

b=5+2

b=7

the coordinates of endpoint B are (7,7)

The farmer wants the ratio of horses to cows to equal 5 to 3. He keeps his 45 horses and buys more cows. Workout the number of cows he must buy

Answers

5:3
45/5 =9
45:27
Needs 27 cows

C.P 0f 16 oranges is equal to the Sip of 22
oranges. find profit
percent
or LOSS

Answers

Step-by-step explanation:

Given that :

C.P of 16 oranges is equal to the SP of 22 oranges.

To calculate :

Profit or loss %.

Calculations :

LCM of 16 and 22 is 176.

Let the CP of 16 oranges be Rs. 176 and also let the SP of 22 oranges be Rs. 176.

So,

➝ CP of 16 oranges = Rs. 176

➝ CP of 1 orange = Rs. 176 ÷ 16

CP of 1 orange = Rs. 11

And,

➝ SP of 22 oranges = Rs. 176

➝ SP of 1 orange = Rs. 176 ÷ 22

SP of 1 orange = Rs. 8

______________

Here, CP is greater than SP. So, here is loss.

➝ Loss = CP ― SP

➝ Loss = Rs.(11 ― 8)

Loss = Rs. 3

______________

Finding the loss%,

★ Loss % = {(Loss/CP) × 100} %

➝ Loss % = {3/11 × 100} %

Loss % = 27.27 %

Therefore, loss% is 27.27%.

Let f(x) = -2x - 7 and g(x) = -4x + 6. Find (gof)(-5).

Answers

Answer:

(g ○ f )(- 5) = - 6

Step-by-step explanation:

Evaluate f(- 5), then substitute the value obtained into g(x)

f(- 5) = - 2(- 5) - 7 = 10 - 7 = 3 , then

g(3) = - 4(3) + 6 = - 12 + 6 = - 6

Answer:

[tex](gof)(-5)=-6[/tex]

Step-by-step explanation:

One is given the following information;

[tex]f(x)=-2x-7\\g(x)=-4x+6[/tex]

One is asked to find the following,

[tex](g o f)(-5)[/tex]

The expression ([tex]gof[/tex]) is another way to denote ([tex]g(f(x))[/tex]), in essence, substitute function (f) into function (g) in place of parameter (x). The simplify to find the resulting function;

[tex]g(f(x))\\=-4(-2x-7)+6\\=(-4)(-2x)+(-4)(-7)+6\\=8x+28+6\\=8x+34[/tex]

One is asked to evaluate the function ([tex]gof[/tex]) for (-5). Substitute (-5) into the function and simplify to evaluate;

[tex](gof)(-5)=8x+34\\=8(-5)+34\\=-40+34\\=-6[/tex]

I have this math problem I can't solve.

"Evelyn and Meredith decided to kayak 1 mile up and then back in the Humboldt channel.

The rate of the water flowing in the channel was 2 miles per hour. The total time it took them to kayak up and back was 3 hours and 40 minutes. Assuming they were padding their double kayak at a fairly consistent rate, find the rate Evelyn and Meredith were paddling.

Step 2 - Draw a picture to model the problem.
Step 3 - Label variables and create a table.
Step 4 - Write an equation to model the problem.
Step 5 - Solve the equation. Provide supporting work and detail.
Step 6 - Explain the results."

If you can help please do.

Answers

Evelyn and Meredith were paddling at a rate of [tex]\frac{3+\sqrt{493}}{11}mph[/tex] which is equivalent to 2.29mph approximately.

Step 2: See attached picture

Step 3: In this case we only have different variables, there is the rate at which Evelyn and Meredith were paddling, the rate at which they moved when rowing upstream, the rate at which they moved when rowing downstream, the time it took them to paddle upstream and the time it took them to paddle downstream.

v = rate at which Evelyn and Meredith were paddling.

[tex]v_{up}[/tex]= velocity at which they were moving when paddling upstream.

[tex]v_{down}[/tex]= velocity at which they were moving when paddling downstreamstream.

[tex]t_{up}[/tex]= time it took them paddling upstream.

[tex]t_{down}[/tex]= time it took them paddling downstream

Se attached picture for the table.

Step 4: Building this equation will require us to combine different equations into a single one. Let's start with the equation for the final rate at which they paddled when rowing upstream.

[tex]v-2=v_{up}[/tex]

When rowing upstream, the current will drag the kayak, so we subtract it from the rate at which they were rowing.

Let's find the final rat at which they moved when rowing downstream.

[tex]v+2=v{down}[/tex]

next, the problem tells us it took them 3 hours and 40 minutes to row up and down the channel so we can convert it into just hours like this:

[tex]40min*\frac{1hr}{60min}=\frac{2}{3}hr[/tex]

[tex]3hr+\frac{2}{3}hr=\frac{11}{3}hr[/tex]

so now we can build our equation for time.

[tex]t_{up}+t_{down}=\frac{11}{3}[/tex]

We also know that the rate is built by dividing the distance over the time it took them to travel the distance, so:

[tex]v_{up}=\frac{1}{t_{up}}[/tex]

[tex]v_{down}=\frac{1}{t_{down}}[/tex]

If we solved each of those equations for their respective times, we would end up with the following:

[tex]t_{up}=\frac{1}{v_{up}}[/tex]

[tex]t_{down}=\frac{1}{v_{down}}[/tex]

so we can now combine all the equations together so we get:

[tex]t_{up}+t_{down}=\frac{11}{3}[/tex]

[tex]\frac{1}{v_{up}}+\frac{1}{v_{down}}=\frac{11}{3}[/tex]

[tex]\frac{1}{v-2}+\frac{1}{v+2}=\frac{11}{3}[/tex]

So this equation models the problem.

Step 5: We can solve this equation by multiplying everything by the LCD

In this case the LCD is:

3(v-2)(v+2)

so, when doing the respective multiplications we end up with:

[tex]\frac{3(v-2)(v+2)}{v-2}+\frac{3(v-2)(v+2)}{v+2}=\frac{11(3)(v-2)(v+2)}{3}[/tex]

We can now simplify to get:

3(v+2)+3(v-2)=11(v+2)(v-2)

We can now do the respective multiplications to get:

[tex]3v+6+3v-6=11(v^{2}-4)[/tex]

and we can further simplify:

[tex]6v=11v^{2}-44[/tex]

Step 5: So we can now solve it by using the quadratic formula, first, we need to rewrite the equation in standard form:

[tex]11v^{2}-6v-44=0[/tex]

So we can now use the quadratic formula:

[tex]v=\frac{-b \pm \sqrt{b^{2}-4ac}}{2a}[/tex]

we substitute:

[tex]v=\frac{-(-6) \pm \sqrt{(-6)^{2}-4(11)(-44)}}{2(11)}[/tex]

and simplify:

[tex]v=\frac{6 \pm \sqrt{36+1936}}{22}[/tex]

[tex]v=\frac{6 \pm \sqrt{1972}}{22}[/tex]

[tex]v=\frac{6 \pm \sqrt{4(493)}}{22}[/tex]

[tex]v=\frac{6 \pm 2\sqrt{493}}{22}[/tex]

[tex]v=\frac{3 \pm \sqrt{493}}{11}[/tex]

this gives us two possible results:

[tex]v=\frac{3 + \sqrt{493}}{11}[/tex] and [tex]v=\frac{3 - \sqrt{493}}{11}[/tex]

Step 6: We only pick the first result since it's the positive result. We don't take the second one because a negative result represents the kayak moving in the opposite direction which is not how the situation was modeled.

For further information, take a look at the following link:

https://brainly.com/question/12919292?referrer=searchResults

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