Answer:
The measurement of EF is 1.98 units
Step-by-step explanation:
In Δ DEF
∵ m∠E = 90°
∴ FD is the hypotenuse of the triangle
∵ m∠D = 26°
∵ EF is opposite to angle D
- We can use the sine ratio to find it
∵ sin D =  ⇒ (opposite side / hypotenuse)
 ⇒ (opposite side / hypotenuse)
∵ FD = 4.5 units
∴ sin(26) = 
- Multiply both sides by 4.5
∴ 4.5 sin(26) = EF
∵ sin 26° ≈ 0.44
∴ 4.5(0.44) = EF
∴ 1.98 = EF
The measurement of EF is 1.98 units
 
        
             
        
        
        
57.6² = 33.8² + QR²
QR² = 2.175,32
QR = 46.64
57.6/sen90º = 46.64/sen(P)
sen(P) = 46.64*sen90º/57.6
sen(P) = 0.809
angle P is sen^-1 = 54.06º ≈ 54.1º
        
                    
             
        
        
        
Answer:
<h2>210 cm³</h2>
Step-by-step explanation:
let V represent the volume of the triangular prism
V = base × height
base = (7×6)/2 = 42/2 = 21
height = 10
then
V = 21×10 = 210
 
        
             
        
        
        
Answer:
ROCK 2.3 kg 
is about 22.5N
Step-by-step explanation:
To convert kg>>>>N
You multiply by 9.8 (this is good for estimating, but use more decimal places like, 9.80665 for more exact calculations).
You can divide N÷9.8 to find kg
see image
 
        
             
        
        
        
<u>Answer:
</u>
Physliis invested 32000 dollar at 5% interest rate and 34000 dollar at 7% interest rate.
<u>Solution:</u>
Let Phyllis invest ‘x’ dollar at 5% per year and (66000-x) dollar at 7% per year.
We know,

In the question it is given that Simple interest earned from both the investments at the end of the year is $3980.
Using the given below equation, we will try to find out the investments at each rate.

x = 32000
We can calculate amount for 7% interest rate by,
(66000-32000) =34000
Thus Phyllis invested 32000 dollar at 5% interest rate and 34000 dollar at 7% interest rate.