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Marianna [84]
3 years ago
6

See image for details on question

Mathematics
1 answer:
exis [7]3 years ago
7 0

Answer:

x +3

Step-by-step explanation:

You can solve this by factoring.

The numbers have to add to 10 and multiply to 21.

The first numbers that should come to mind are 7 and 3

(x+3)(x+7)

x+3 is the shorter side and there you go :)

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Right triangle FHG is shown. The sine of angle F is 0.53. What is the cosine of Angle h ?
g100num [7]

<u>Given</u>:

Given that FGH is a right triangle. The sine of angle F is 0.53.

We need to determine the cosine of angle H.

<u>Cosine of angle H:</u>

Given that the sine of angle F is 0.53

This can be written as,

sin F=0.53

Applying the trigonometric ratio, we have;

\frac{HG}{FH}=0.53 ----- (1)

Now, we shall determine the value of cosine of angle H.

Let us apply the trigonometric ratio cos \ \theta=\frac{adj}{hyp}, we get;

cos \ H=\frac{HG}{FH} ----- (2)

Substituting the value from equation (1) in equation (2), we get;

cos \ H=0.53

Thus, the cosine of angle H is 0.53

6 0
3 years ago
Jamal is making two paintings using canvases that are similar rectangles. The length of the smaller canvas is 3 ft and the width
Alex787 [66]
Let's start with what we know:

Smaller canvas:
Length (L_{1}) = 3ft
Width (W_{1}) = 5ft

Larger canvas:
Length (L_{2}) = ?
Width (W_{2}) = 10ft

Since these are similar rectangles, we can cross-multiply to calculate the missing length. Here's that formula:

\frac{ L_{1} }{ L_{2} } =  \frac{ W_{1} }{ W_{2} }
So let's plug it all in from above:

\frac{ 3 }{ L_{2} } = \frac{ 5 }{ 10 }
Now we cross multiply by multiplying the top-left by the bottom-right and vice versa:

(3)(10) = (5)(L_{2})
30 = 5L_{2}
Now divide each side by 5 to isolate L_{2}

\frac{30}{5} =  \frac{ 5L_{2}}{5}
The 5s on the right cancel out, leaving us with:

6 =  L_{2}

So the length of the larger canvas is 6 ft
4 0
3 years ago
Read 2 more answers
Carly is telling Stephanie about her parents' divorce. Which body language would best display that Stephanie is actively listeni
muminat

Answer:

Turning her body toward Carly.

Step-by-step explanation:

Since turning someone's body towards the speaker means that they are actively paying attention. If she would return text messages, it would make it look like Stephanie doesn't care at all, same thing for focusing on people in the background. If she were to stop Carly's story to ask off-topic questions, it would also make Stephanie seem ignorant.

4 0
3 years ago
Make an argument for why(4^2)4=(4^4)^2
cupoosta [38]

Questions is incomplete however from what i understand it is asking (4^2)^4 which can be made that the arguement of the function is  correct because its is the multiplication of radicals which however way you put it will equal the same

3 0
3 years ago
4000÷10×2+4-8 rounded to the nearest ten
Vladimir79 [104]
You would follow the order of operations
Parentheses
Exponents
Multiply/Divide
Add/Subtract

if it is multiply or divide, go from left to right. do the same if it is addition or subtraction

4000/10x2+4-8

first, do 4000/10

400x2+4-8

then do 400x2

800+4-8

then do 800+4

804-8

796
rounding to the nearest tens would make it 800
because 9 rounded up is 10
4 0
3 years ago
Read 2 more answers
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