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Katen [24]
3 years ago
5

How do I solve this????

Mathematics
1 answer:
Arlecino [84]3 years ago
3 0
Let's say the numbers are "a" and "b"
hmm say "a" is the smaller, and "b" the greater

so "b" is "4 more than 5 times" "a"

so... 5 times "a" is 5*a or 5a
4 more than "that", will be "that" + 4
or
5a + 4

so.. whatever "a" is, "b" is 5a+4

now, their sum is 22, as opposed to "zz" hehe

so       \bf \begin{cases}
a+b=22\\
--------------\\
\boxed{b}=5a+4\qquad thus\\
--------------\\
a+\boxed{5a+4}=22
\end{cases}

solve for "a", to see what the smaller one is

what's "b"?  well, b = 5a + 4
You might be interested in
There are about 1.4×109 cubic kilometers of water on Earth. About 2.5% of the water is fresh water. How much fresh water is on E
Sveta_85 [38]

Answer:

Amount of fresh water = 3.5 * 10^7 cubic kilometers

Step-by-step explanation:

Given the following

Total water on earth = 1.4×10^9 cubic kilometers

If 2.5% of it is fresh water

Amount of fresh water = 2.5% of 1.4×10^9

Amount of fresh water = 0.025 * 1.4×10^9

Amount of fresh water = 0.035 * 10^9

Amount of fresh water = 3.5 * 10^7 cubic kilometers

8 0
3 years ago
14.
Charra [1.4K]

a. The number of square cm of paper that would be used to make 4 caps is 3154.56 cm².

b. For the cake to have the required dimensions, they should order 1 kg of cake.

a.

The number of square cm of paper that would be used to make 4 caps is 3154.56 cm².

To find the number of square cm paper would be used to make 4 caps, we need to find the area of a cone.

<h3>Area of a cone</h3>

The area of a cone, A = πr² + πr[√(h² + r²)] where

  • r = radius of cone and
  • h = height of cone

Now given that the base circumference of the cone is C = 44 cm. So,

C = 2πr where r = radius of base

So, r = C/2π = 44 cm/2π = 22 cm/3.142 = 7 cm

The height of the cone, h = 24 cm

So, A = πr² + πr[√(h² + r²)]

A = π(7 cm)² + π(7 cm)[√((24 cm)² + (7 cm)²)]

A = π(7 cm)² + π(7 cm)(7)[√((4 cm)² + (1 cm)²)]

A = 49π cm² + 49π cm[√(16 cm² + 1 cm²)]

A = 49π cm² + 49π cm[√(17 cm²)]

A = 49π [1 cm² + 4.123 cm²)]

A = 49π [5.123 cm²)]

A = 251.032π

A = 788.64 cm²

Since the area of one cap is A = 788.64 cm²,

the area of 4 caps is A' = 4A

= 4 × 788.64 cm²

= 3154.56 cm²

So, the number of square cm of paper that would be used to make 4 caps is 3154.56 cm².

b.

For the cake to have the required dimensions, they should order 1 kg of cake.

To find the amount of cake to be ordered, we need to find the volume of a cake since it is the volume of a cylinder.

<h3>Volume of a cylinder</h3>

The volume of a cylinder is V = πd²h/4 where

  • d = diameter of cake = 24 cm and
  • h = height of cake = 14 cm

Substituting the values of the variables into the equation, we have

V = πd²h/4

V = π(24 cm)²(14 cm)/4

V = π(576 cm)²(14 cm)/4

V = 8064π cm³/4

V = 2016π cm³

V = 6333.45 cm³

So the volume of the cake is 6333.45 cm³

Since 650 cm³ equals 100 g, 6333.45 cm³ = 6333.45 cm³ × 100 g/650 cm =  974.4 g = 0.974 kg ≅ 1 kg.

So, for the cake to have the required dimensions, they should order 1 kg of cake.

Learn more about volume of a cake here:

brainly.com/question/27570775

#SPJ1

5 0
1 year ago
HELP &lt;3 Match the expressions with their solutions.
densk [106]

Answer:

1 ) sin 165°

2 ) cos 330°

3 ) Tan 157.5°

4 ) sin^2 157.5

Step-by-step explanation:

1 )

Given expression is  \sqrt{\frac{1-cos330}{2} }

We know that cos2x=1-2sinx^{2}

sinx^{2}=\frac{1-cos2x}{2}

(sinx/2)^2=\frac{1-cosx}{2}

So the first expression is sin (330/2)° =sin 165°

2 )

GIven expression is  1-2sin^2165

We know that cos2x=1-2sinx^{2}

So the result is cos 330°

3 )

Given expression is \frac{1-cos 315}{sin315}

We know that cos2x=1-2sinx^{2}

Also we know that sin2x = 2sinxcosx

So The numerator becomes 2sin^2x/2. and the denominator becomes as 2sinx/2cosx/2

\frac{2sin^2x/2}{2sinx/2cosx/2}=tanx/2

So the result is Tan 157.5°

4 )

Given expression is \frac{1-cos 315}{2}

We know that cos2x=1-2sinx^{2}

(sinx/2)^2=\frac{1-cosx}{2}

So the result is sin^2 157.5

6 0
3 years ago
How do you find the exact value of sec θ if sin θ = -15/17 and 180 &lt; θ &lt; 270?
AnnyKZ [126]

For 180^\circ, we expect to have \cos\theta. Then if \sin\theta=-\dfrac{15}{17}, we have

cos^2\theta+\sin^2\theta=1\implies\cos\theta=-\sqrt{1-\sin^2\theta}=-\dfrac8{17}

\implies\sec\theta=\boxed{-\dfrac{17}8}

7 0
3 years ago
mario delivers pizzas, he is paid 65p for each pizza he delivers, one day he was paid 27.30 for delivering pizzas, how many pizz
ipn [44]
So 27.39 divided by 0.65 is 42
6 0
3 years ago
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