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nata0808 [166]
3 years ago
8

Find the missing angles and sides

Mathematics
1 answer:
maria [59]3 years ago
8 0

Step-by-step explanation:

m∠1 = 180-100 = 80

m∠2 = 180-150 = 30

m∠3 = 180-(80+30) = 180 - 110 = 70

using the law of sine :

AC/sin(m∠2) = 5/sin(m∠3) ⇒ AC = sin(m∠2)*(5/sin(m∠3)) = sin(30)×(5÷sin(70))

=2.66044443119

CB/sin(m∠1) = 5/sin(m∠3) ⇒ CB = sin(m∠1)*(5/sin(m∠3)) ⇒ CB = sin(80)×(5÷sin(70)) = 5.240052604588

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Each cube in the prisms below has a volume of 1 cubic unit. which prism has a volume of 60 cubic units
mr_godi [17]
For A, 5x4x3=60
for B 5x3x2=30
for C 5x4x1=20
for D 5x4x2=40
hence, A has a volume of 60cubic units!
7 0
3 years ago
The value of y varies inversely as the cube of x and y=1 when x=6. Find the value of y when x =2.
ch4aika [34]

Answer:

y=27 when x=2

Step-by-step explanation:

y varies inversely as the cube of x

y=k(1/X^3)

y=1 when x=6

y=k(1/X^3)

1=k(1/6^3)

1=k(1/216)

k=1÷1/216

K=1×216/1

k=216

find y when x=2

y=k(1/X^3)

y=216(1/2^3)

y=216(1/8)

y=216/8

y=27

3 0
3 years ago
tracy goes and purchases school supplies she buys pens pencils folders and markers for $30.90, if the sales tax is 6% what is th
____ [38]
The tax is 1.85$ and total cost is 32.75$
8 0
3 years ago
Please give me the ansewer to this question 3/4^3
galben [10]

♡ The Question ♡

-Answer --> 3/4^3

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*

♡ The Answer ♡

Fraction --> 27/64

Decimal --> 0.421875

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*

♡ The Explanation/Step-By-Step ♡

(3/4)^3

Apply Exponent Rule! --> (a/b)^c = a^c/b^c

(3/4)^3 = 3^3/4^3

3^3 = 27

= 27/4^3

4^3 = 64

= 27/64

27/64 = 0.421875

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*

♡ Tips ♡

-No tips provided!

3 0
3 years ago
Read 2 more answers
¿cual es el perimetro total de un paralelogramo obicuo cuya base mide 2∛54x² cm , y cuyo lado oblicuo mide 3∛54x²?
Step2247 [10]

Answer:

p=10\sqrt[3]{54}x^2

Step-by-step explanation:

We are given parallelogram

Since, two opposite sides of any parallelogram are always equal

Let's assume first side =a

second side =b

so, we get

a=2\sqrt[3]{54}x^2

b=3\sqrt[3]{54}x^2

now, we can find perimeter

perimeter=2a+2b

so, we get

p=2(2\sqrt[3]{54}x^2)+2(3\sqrt[3]{54}x^2)

we can simplify it

p=4\sqrt[3]{54}x^2+6\sqrt[3]{54}x^2

p=10\sqrt[3]{54}x^2................Answer


6 0
3 years ago
Read 2 more answers
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