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grandymaker [24]
3 years ago
9

Pls help , will mark branliest

Mathematics
1 answer:
olganol [36]3 years ago
7 0
The angle measure is 45°
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I WILL GIVES BRAINLIEST!!!!
andrew-mc [135]

Answer:

3 1/3 cups

Step-by-step explanation:

one and one half dozen = 1.5 * 12 = 18 cookies


18 cookies    90 cookies

---------------- = -------------

2/3 cup          x cups

using cross products

18 * x = 2/3 * 90

18 x = 60

divide each side by 18

x = 60/18    

divide top and bottom by 6

x = 10/3

change the improper fraction to a mixed number

3 goes into 10 3 times with 1 left over

x = 3 1/3 cups


6 0
3 years ago
Hi guys . pls help me with this​
daser333 [38]

Step-by-step explanation:

The upstream speed is S / t₁, and the downstream speed is S / t₂.

If we say f is the speed of the fish in calm water, and r is the speed of the river, then:

f − r = S / t₁

f + r = S / t₂

If we say T is the time it takes to cross the river, then the speed perpendicular to the river is ℓ/T, the speed parallel to the river is r, and the overall speed is f.

Using Pythagorean theorem:

f² = (ℓ/T)² + r²

f² − r² = (ℓ/T)²

(f − r) (f + r) = (ℓ/T)²

(S / t₁) (S / t₂) = (ℓ/T)²

S² / (t₁ t₂) = (ℓ/T)²

(t₁ t₂) / S² = (T/ℓ)²

√(t₁ t₂) / S = T/ℓ

T = ℓ√(t₁ t₂) / S

6 0
4 years ago
Which of the following equations is equivalent to log(y)= 3.994 ?
Kisachek [45]

Answer:

The correct answer is option D: y = 10^{3.994}

Step-by-step explanation:

Given:  

log(y)= 3.994

Solution:

A logarithm base b of a positive number x satisfies the following definition:

y =log_b(x) => b^y =x

For x > 0, b >0, b \neq 1

Also if no base  b  is indicated, the base of the logarithm is assumed to be  10 .

Thus, in log(y)= 3.994 base b is not indicated. so its base is assumed to be 10

now

log_{10}(y)= 3.994

Then

y = 10^{3.994}

4 0
3 years ago
Cosx+1/sin^3x=cscx/1-cosx
ANTONII [103]
<span> I am assuming you want to prove:
csc(x)/[1 - cos(x)] = [1 + cos(x)]/sin^3(x).

 </span>
<span>If we multiply the LHS by [1 + cos(x)]/[1 + cos(x)], we get:
LHS = csc(x)/[1 - cos(x)]
= {csc(x)[1 + cos(x)]/{[1 + cos(x)][1 - cos(x)]}
= {csc(x)[1 + cos(x)]}/[1 - cos^2(x)], via difference of squares
= {csc(x)[1 + cos(x)]}/sin^2(x), since sin^2(x) = 1 - cos^2(x).

 </span>
<span>Then, since csc(x) = 1/sin(x):
LHS = {csc(x)[1 + cos(x)]}/sin^2(x)
= {[1 + cos(x)]/sin(x)}/sin^2(x)
= [1 + cos(x)]/sin^3(x)
= RHS.

 </span>
<span>I hope this helps! </span>
8 0
4 years ago
The sum of two numbers is 25. their product is 154
kolbaska11 [484]
The two numbers are 14 and 11
7 0
3 years ago
Read 2 more answers
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