Q10.
ABC is a right-angled triangle.
А
11 cm
B
7 cm
C
(a) Work out the size of angle ABC.
Give your answer correct to 1 decimal place.

Answers

Answer 1

Answer:

[tex]B = 50.5^\circ[/tex]

Step-by-step explanation:

Given

[tex]AB = 11[/tex]

[tex]BC = 7[/tex]

See attachment

Required

Determine [tex]\angle ABC[/tex]

[tex]\angle ABC[/tex] implies that we calculate the angle at B.

Given that:

[tex]AB = 11[/tex] --- Hypotenuse

[tex]BC = 7[/tex] --- Adjacent of B

We apply cosine formula

[tex]\cos(B) = \frac{Adjacent}{Hypotenuse}[/tex]

[tex]\cos(B) = \frac{BC}{AB}[/tex]

[tex]\cos(B) = \frac{7}{11}[/tex]

[tex]\cos(B) = 0.6364[/tex]

Take arccos of both sides

[tex]B = cos^{-1}(0.6364)[/tex]

[tex]B = 50.5^\circ[/tex]

Q10.ABC Is A Right-angled Triangle.11 CmB7 CmC(a) Work Out The Size Of Angle ABC.Give Your Answer Correct

Related Questions

Venell put together a model train with 25 train cars. Each train car is 80 millimeters long. How many meters long is Venell's model train if there are no gaps between cars?

Answers

Answer:

2 meters

Step-by-step explanation:

its not hard

7. If each pet had received 9 votes, what would the mode have been?

Answers

Answer

Step-by-step explanation:

if they all recieve the same amount of numbers then there is no visable mode because they all recieve the same numbers

also dont go to the link that the other person just posted its a scam

Plsss help me on this

Answers

Answer:

Pretty sure it is Product of Powers Property

Step-by-step explanation:

Topografía. La superficie de una montaña se modela mediante la ecuación ℎ(, ) = 5000 − 0.001 2 − 0.004 2 . Un montañista se encuentra en el punto (500, 300, 4390). ¿En qué dirección debe moverse para ascender con la mayor rapidez?

Answers

Respuesta:

(-1, - 2,4)

Explicación paso a paso:

Dada la función:

ℎ (x, y) = 5000 - 0,001x2 - 0,004y2

Tomando la derivada parcial con respecto a ambas direcciones (xey) se obtiene la dirección del vector de gradiente, donde es posible el movimiento más rápido

H '(x, y) = (dh / dx, dh / dy)

dh / dx = 2 (-0.001x) = - 0.002x

dh / dy = 2 (-0.004y) = - 0.008y

H '(500, 300) = (- 0,002 (500); - 0,008 (300))

H '(500, 300) = (- 1; - 2,4)

Por lo tanto, el montañista ascenderá con la mayor velocidad en el punto (-1, - 2.4)

is y=1/4x+1/3 proportional or non proportional

Answers

Answer:

non proportional

Step-by-step explanation:


Which of the following are identities? ^

Answers

I think it’s A.I’m sorry not that sure

I've given up on math, help would be wildly appreciated

Answers

Answer:

1. [tex]\frac{2}{3}[/tex] probability

2. head represents cats (let's say) and tails represent dogs, flip two coins to determine whether the family has 2 cats or 2 dogs or 1 cat and 1 dog.

3. Take two coins, flip them, record heads and tails of each flip for 50 flips (I ain't no doing this)

4 - 6. answer these questions based on the data you got...

The End

what is the product of the polynomials? (3x-2)(12x+7)

Answers

Answer:

36x²-3x-14

Step-by-step explanation:

(3x-2)(12x+7)

36x²+21x-24x-14

36x²-3x-14

solve for x. please please i need help help me please

Answers

The answer is 11 because the longer side would be 16

Two similar solids have surface areas of 48cm and 108cm respectively.find the volume of the smaller solid if the bigger one has a volume of 162cm​

Answers

Answer:

The volume of the smaller solid is 72 cm.

Step-by-step explanation:

Given that two similar solids have surface areas of 48cm and 108cm respectively, to find the volume of the smaller solid if the bigger one has a volume of 162cm the following calculation must be performed:

108 = 162

48 = X

48 x 162/108 = X

7776/108 = X

72 = X

Therefore, the volume of the smaller solid is 72 cm.

2/5 meters= blank cm

Answers

Answer:

⅖ m = 40 cm

Step-by-step explanation:

1 meter = 100 cm

1 : 100 = 2/5 : y

1 × y = 100 × 2/5

y = 40

2/5cm=40cm this is the answer

The point P(6, –1) is translated according to the rule (x, y) → (x – 5, y – 2). What are the coordinates of P'? P'(1, 2) P'(1, 1) P'(1, –3) P'(4, 4)

Answers

Answer:

(1, -3)

Step-by-step explanation:

If the point P(6, –1) is translated according to the rule (x, y) → (x – 5, y – 2).

To get the coordinate of P', we will replace x as 6 and y as -1 in the translation given as shown

Coordinate of P' = (6 -5, -1, -2)

Coordinate of P' = (1, -3)

hence the coordinate of P' is (1, -3)

Answer:

p'(1 -3)

Step-by-step explanation:

Ellen has a balance of $15,000 on her car loan and an interest rate of 2.75%. To pay off the $15,000 in five years, Ellen will have to make a minimum payment of $267.87. If Ellen pays $434.57 per month she can pay off her auto loan in 3 years instead. How much more will Ellen pay if she takes 5 years to pay off her loan instead of 3 years?

Answers

Answer:

347$

Step-by-step explanation:

balance of 15000$

loan 2.75%

minimum 267.87

434.57 per month

=347$

A rectangle has a length of 2x+3 and a width of 10x-4. Find the perimeter and area of the figure

Answers

Step-by-step explanation:

perimeter is 4x+6 +20x-8=20x-2

area is 20x^2+22x-12

0.73 recurring can be writeen as 11/15

Answers

Answer:

yes , see explanation

Step-by-step explanation:

We require 2 equations with the recurring 3 placed after the decimal point.

let x = 0.7333..  ( multiply both sides by 10 and 100 )

10x = 7.333... → (1)

100x = 73.333.... → (2)

Subtract (1) from (2) , eliminating the recurring 3

90x = 66 ( divide both sides by 90 )

x = [tex]\frac{66}{90}[/tex] = [tex]\frac{11}{15}[/tex]

The first four terms of an arithmetic sequence are shown below.
1, 5, 9, 13,......

(a) Write down the nth term of the sequence (general formula).

(b) Calculate the 100th term of the sequence.

(c) Find the sum of the first 100 terms of the sequence.

Answers

Answer:

a) n = 4(n-1)+1    

b) 397

c) 19900

Step-by-step explanation:

how many boys are in the choir​

Answers

9514 1404 393

Answer:

  D.  210

Step-by-step explanation:

If b is the number of boys in the choir, the ratio of boys to girls is ...

  b/150 = 7/5

  b = 150(7/5) = 30(7) = 210

There are 210 boys in the choir.

Tome walks 1/3 of a mile in 1/4 of an hour. At this rate, how many miles will Tom walk in 1 hour?

Answers

Answer:

2 miles i think

Answer:

In 1 hour, he'll walk 4/3 miles

Step-by-step explanation:

Ratios:

[tex]\frac{1/3}{1/4} =\frac{x}{1} \\\\\frac{1}{4} x=\frac{1}{3} \\\\x=\frac{4}{3}[/tex]

Help ASAP
Here is a system of linear equations: -2x + y = 7
6x + y = 11
What is the solution to the system of equations shown?
A
(1/4, 7 1/2)
B.
(2, 11)
c.
(1/2, 8)
D.
(3, -7)
Yes

Answers

Answer:

c. (1/2, 8)

Step-by-step explanation:

To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for that variable in the other equation.

Choose one of the equations and solve it for x by isolating x on the left hand side of the equal sign.

-2x + y = 7

Step 1: Subtract y from both sides of the equation.

-2x = -y + 7

Step 2: Divide both sides by -2

x = 1/2y - 7/2

Substitute what you see above this statement for y in the other equation.

6(1/2y - 7/2) + y = 11

Step 3: Multiply 6 by 1/2y - 7/2.

3y - 21 + y = 11

Step 4: Combine y and 3y.

4y - 21 = 11

Step 5: Add 21 to both sides

4y = 11 + 21

4y = 32

Step 6: Divide both sides by 4.

y = 32/4

y = 8

Step 7: Substitute 8 for y in x = 1/2y - 7/2 Because the resulting equation contains only one variable, you can solve for x directly.

x = 1/2(8) - 7/2

Step 8: Multiply 1/2 by 8.

x = 4 - 7/2

Step 9: Add -7/2 to 4.

x = 1/2

The system is now solved, and we get C (1/2, 8) as our answer.

Answer:

C

Step-by-step explanation:

I did the test myself

Please help me with the answer to these. The second picture goes along with the first

Answers

39 cents that would be the answer for your question hopefully

the base of a jewelry box is a square with a side length of 5 1/2 inches. the box is 2 inches high. what is the volume of the box?

Answers

The volume of the jewelry box is 60 1/2 cubic inches.

The area of a square with a side length of 5 1/2 inches can be found by multiplying the length of one side by itself, giving:

Area = (5 1/2) × (5 1/2) = 30 1/4 square inches

The height of the box is 2 inches.

Therefore, the volume of the jewelry box can be found by multiplying the area of the base by the height of the box, giving:

Volume = Area x Height = (30 1/4) × 2 = 60 1/2 cubic inches

Thus, the volume of the jewelry box is 60 1/2 cubic inches.

Learn more about the volume here:

https://brainly.com/question/9465338

#SPJ1

GIVING BRAINLIEST!!!!!

What type of triangle is shown in the image?

Acute triangle
Right triangle
Equilateral triangle
Obtuse triangle

Answers

Answer:

Well wheres the image?

Step-by-step explanation:

Answer:

Obtuse triangle

Step-by-step explanation:

Someone said so

URGENT 100 POINTS (all fake answers will be removed and i will take the points back)

Quadrilateral ABCD ​ is inscribed in circle O.



What is ​ m∠A ​ ?

Answers

Answer:

42 degrees (check attachements) hope it helps!

Step-by-step explanation:

Answer:

42

Step-by-step explanation:

Opposite angles of an inscribed quadrilateral are supplementary. We use that information and angles B and D to find the value of x. Then we use the value of x to find the measure of angle A.

m<B + m<D = 180

2x + 3x - 5 = 180

5x = 185

x = 37

m<A = x + 5

m<A = 37 + 5

m<A = 42

Which equation does not represent a linear function

Answers

Answer:

D should be the one that DOES NOT represent a linear function

Um motor elétrico recebe 2.800 kJ de energia elétrica. Transforma 900 kJ em energia térmica, 150.000 J em energia sonora e o restante em energia cinética. Podemos afirmar que seu rendimento é de: *
a) 62,5 %
b) 68,7 %
c) 70,4 %
d) 72,7 %
e) 92,3 %

Answers

Uno se pierde, el otro se recicla.

Explicación:

El movimiento de nutrientes difiere del flujo de energía en un ecosistema porque los nutrientes se pueden reciclar mientras que, por otro lado, la energía se pierde en el ecosistema. Tanto los nutrientes como la energía fluyen en la misma dirección y toda la energía del ecosistema proviene del sol, que es la principal fuente de energía. Entonces podemos decir que la energía perdida y los nutrientes se reciclan en el ecosistema.

can someone please help me?

Answers

Answer:

A

Step-by-step explanation:

Answer:

A) 18.75

Step-by-step explanation:

As I said in the comments,

The question is asking for volume, so -

50 x 1.5 x 0.25 = 18.75

Hope this helped :)

What is the volume, in cubic feet, of a rectangular prism with a height of 5 feet, aho
width of 20 feet, and a length of 5 feet?

Answers

Answer:

500 cubic feet

Step-by-step explanation:

5 * 20 * 5 = 500 cubic feet

Find the solutions of this quadratic.
f(x)=(x-8)(x+4)

Answers

l

[tex]x1 = 8 \\ x2 = - 4[/tex]

Which shows the measures in ascending order for the data below?

14, 18, 11, 11, 15, 18, 11, 12, 15

range, mode, mean, median
range, mean, median, mode
range, median, mode, mean
range, mode, median, mean

Answers

Step-by-step explanation:

range, mode, median, mean

Answer:

range, mode, mean, median

Step-by-step explanation:

I just did it on odyssey

Lorane saw a sweater she wanted to buy
on sale for 25% off. The store charges a
4.8% sales tax. If the sweater normally
costs $65.00, how much money did Lorane
pay for the sweater, including tax?

Answers

51.09 just take 65.00 -25% then add the 4.8 %
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