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Ivan
3 years ago
13

2.) Write the probability as a fraction in simplest form. P (consonant) *

Mathematics
2 answers:
babymother [125]3 years ago
5 0
The answer is 2/3 I’m pretty sure
ValentinkaMS [17]3 years ago
4 0

Answer:

2/3

Step-by-step explanation:

There are 6 different letters and 4 of them are consonants, so:

4/6 simplify it by 2:

2/3

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What is the dollar amount of the Gentry's annual food and housing budgets combined?
Pavlova-9 [17]

Answer:

The combined amount is $14871.21.

Step-by-step explanation:

It is given that, the total yearly income of gentry family is <em>$29742.42</em>

<em>The % charge on income for food is 20%.</em>

<em>The % charge on income for housing is 30%.</em>

The amount in dollar from % form is given by,

= (\frac{percent form}{100})(annual income)

For annual food,

= (\frac{20}{100})(29742.42)

= $5948.484

For housing budgets,

= (\frac{30}{100})(29742.42)

= $8922.726

Thus the combined amount is,

= 8922.726 + 5948.484 = 14871.21

= $14871.21

3 0
3 years ago
Prove that:- (1-sinA)(1+sinA)÷(1+cosA)(1-cosA)=cot^2A​
astraxan [27]

Answer:

see explanation

Step-by-step explanation:

Using the trigonometric identity

sin²x + cos²x = 1 , then

sin²x = 1 - cos²x and cos²x = 1 - sin²x

Consider the left side

\frac{(1-sinA)(1 + sinA)}{(1+cosA)(1-cosA)} ← expand numerator/denominator using FOIL

= \frac{1-sin^2A}{1-cos^2A}

= \frac{1-(1-cos^2A)}{1-(1-sin^2A)}

= \frac{1-1+cos^2A}{1-1+sin^2A}

= \frac{cos^2A}{sin^2A}

= cot²A = right side , thus proven

6 0
3 years ago
Write an equation of a line in point-slope form that has a slope of -2 and passes through (5, -1).
gavmur [86]

Answer:

y+1=-2(x-5)

Step-by-step explanation:

We can write the equation of a line in 3 different forms including slope intercept, point-slope, and standard depending on the information we have. We have a point given and a slope from the equation. We will chose point-slope since we have a point and the slope.  

We will substitute m=-2 and x_1=5\\y_1=-1.

y-(-1)=-2 (x-5)

y+1=-2(x-5)

This is the equation of the line with slope -2 that passes through (5,-1).


8 0
3 years ago
WHOEVER FINISHES FIRST I WILL MARK AS BRAINLIEST!!!
Lady bird [3.3K]

Answer:

-350%  -0.4%   -40%  -37.5% hope this helps!

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Write ANY FOUR factors of -23 ab2.​
Sauron [17]

Answer:

The factors are;

23, -23 , a , b

Step-by-step explanation:

Here, we want to write the factors of the given expression

-23 ab^2

The factors are simply those values or expression that can be divided by the given expressions

We have the factors as follows;

23

-23

a

b

7 0
3 years ago
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