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monitta
3 years ago
7

I need help with these two questions!! I got 72° for Question 7, I don't know I need help with both of them!! PLEASE HELP!! :)

Mathematics
1 answer:
Nat2105 [25]3 years ago
3 0

Answer:

7. 49

8. 10.4

Step-by-step explanation:

7) our hypotenuse is 8, and the side opposite the base of ladder and ground angle is 6, therefore we can use Sin

sin = opposite/hypotenuse

sin(x) = 6/8 = 3/4

sin-1(3/4) = 49

8) using the theorem that alternate exterior angles are congruent

the angle opposite side x is 30

tan = opposite/adjacent

tan(30) = x/18

x = 18tan(30) = 6√(3) = 10.4

you can also use 30-60-90 special right triangles.

the side opposite 30 is x

side opposite 60 is x√(3)

and side opposite 90 is 2x

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HELP!!! i am stuck here
irina1246 [14]

Answer:

<em>2.5 hours</em>

<u>Skills needed: Speed, distance, time problems</u>

Step-by-step explanation:

1) We are given speed and distance, and have to find out the the time (in hours).

- In terms of units, everything is matched up (Since distance and speed use kilometers, and speed and time use hours).

- Time is always the distance you travelled (how far) divided by how fast you travelled (the rate/speed)

---> We can use the formula for time: t=\frac{d}r

t= time

d=distance

r=rate/speed

2) Now, let's plug in for distance and rate.

---> t=\frac{7.5}{3} = 2.5

2.5 hours is the answer.

4 0
3 years ago
Fully Factor 3x^2 – 16x + 20
ryzh [129]

Answer:

C. (3x2 - 10) (x - 2)

Step-by-step explanation:

3x^2 - 16x +20

Step 1: Sum = - 16x

Product = 60x^2

Step 2: Find 2 numbers that their sum is -16 and their product is 60. If you do that correctly, then you will get two numbers: 10 and -6

Step 3: Replace -16x with the two numbers found in step 2, then you will have; 3x^2 - 6x - 10x + 20

Step 4: Factorise the equation in step 3, like so;

(3x^2 - 6x)(- 10x + 20)

3x(x - 2) -10(x - 2)

(3x - 10)(x - 2)

To check if the answer is correct, expand the bracket: (3x - 10)(x - 2)

If the bracket is opened properly, you will get 3x^2 - 16x + 20

4 0
3 years ago
In triangle XYZ right angled at Y. Find the length of the hypotenuse if the length of the other two sides is 1.6 cm and 6.3 cm.
const2013 [10]

Answer:

6.5 cm

Step-by-step explanation:

From Pythagoras theorem

C^2= a^2 + b^2

Where a, b are the sides of the triangle

C= hypotenus sides of the triangle

two sides are given as 1.6 cm and 6.3cm respectively.

C^2= 1.6^2 + 6.3^2

C^2= 2.56 + 39.69

C^2 = 42.25

C= √42.25

C=6.5 cm

Hence, the length of the hypotenuse is 6.5 cm

7 0
2 years ago
Which is the area of a circle with a circumference of 37.68 units (use 3.14)
stepladder [879]
1081637.6 when rounded to the nearest tenth
7 0
3 years ago
Rewrite to the algebraic form The product of x and 4.​
guapka [62]

Answer:

4x

Step-by-step explanation:

When multiplying a number by a variable the number is written first and then the variable. It can be represented like this: 4(x). If you simplify that you get 4x.

3 0
3 years ago
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