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3 years ago

The surface area of a triangular pyramid is 375.2 m2.

1 answer:

3 0

D. If I told you to walk 1 metre or 100cm you would have walked the same distance but more cm as the ratio of cm:m is 100:1, this is the same thing for surface area except the ratio is 1000:1

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1. A drawing of a triangular park shows that the sides measure 12 m, 30 m, and 18 m. Can these dimensions be correct?

Varvara68 [4.7K]

Answer: 1. It is not possible to construct a triangle of given measure sides.

2. The value of ∠A is 44°

Step-by-step explanation:

Given: Three sides of a triangle

Let a= 12 m , b=30 m and c= 18 m

Now as we know

The sum of two sides of a triangle is always greater than the third side

Therefore we need to show

a+b>c -----(i)

b+c>a -----(ii)

c+a>b -----(iii)

(i a+b= 12+30 = 42>18= b ⇒ a+b>c

ii) b+c=30+18= 48 >12=a ⇒ b+c>a

iii) c+a=18+12=30=b ⇒ c+a= b

Therefore the third condition does not verified

Hence, it is not possible to construct a triangle of given measure sides.

As we now triangle sum property which states that the sum of all the three angles of a triangle is 180°

So we have

$x+59+84+x+51=180\\\\\Rightarrow 194 +2x=180\\\\\Rightarrow 2x= 180-194\\\\\Rightarrow 2x=-14\\\\\Rightarrow x= -7$

Therefore

$\angle A = x+51= -7+51= 44^\circ$

Hence, the value of ∠A is 44°

6 0

3 years ago

Applying properties of Exponents In Exercise, use the properties of exponents to simplify the expression.

eimsori [14]

Answer:

(a) $5^{8}$

(b) 3

(d) $\dfrac{1}{6}$

Step-by-step explanation:

We need simplify the given expressions.

(a)

Consider the given expression is

$(5^4)(25^2)$

$(5^4)((5^2)^2)$

Using the properties of exponents we get

$(5^4)(5^4)$ $[\because (a^m)^n=a^{mn}]$

$5^{4+4}$ $[\because a^ma^n=a^{m+n}]$

$5^{8}$

(b)

Consider the given expression is

$(9^{\frac{1}{3}})(3^{\frac{1}{3}})$

$((3^2)^{\frac{1}{3}})(3^{\frac{1}{3}})$

Using the properties of exponents we get

$(3^{\frac{2}{3}})(3^{\frac{1}{3}})$ $[\because (a^m)^n=a^{mn}]$

$3^{\frac{2}{3}+\frac{1}{3}}$ $[\because a^ma^n=a^{m+n}]$

$3^{1}$

$3$

(c)

Consider the given expression is

$(\dfrac{1}{3})^{-3}$

Using the properties of exponents we get

$(\dfrac{3}{1})^{3}$ $[\because a^{-n}=\dfrac{1}{a^n}]$

$3^{3}$

$27$

(d)

Consider the given expression is

$(6^4)(6^{-5})$

Using the properties of exponents we get

$6^{4+(-5)}$ $[\because a^ma^n=a^{m+n}]$

$6^{-1}$

$\dfrac{1}{6^{1}}$ $[\because a^{-n}=\dfrac{1}{a^n}]$

$\dfrac{1}{6}$

6 0

3 years ago

BRAINLEIST ANSWER TO WHOEVER GIVES ME CORRECT ANSWER FIRST

ivann1987 [24]

Great, because y=2x+5 is 3xy kay.

4 0

3 years ago

Determine if the listed line is tangent to the circle

777dan777 [17]

Answer:

SEG KL is not a tangent coz Pythagoras theorem doesn't apply here
SEG GH is not a tangent coz Pythagoras theorem doesn't apply here
SEG GF is not a tangent coz Pythagoras theorem doesn't apply here
SEG FG is not a tangent coz Pythagoras theorem doesn't apply here
SEG XY is a tangent Pythagoras theorem apply here 24²+7²=25²
SEG XY is not a tangent coz Pythagoras theorem doesn't apply here

8 0

3 years ago

LILLE

Alenkasestr [34]

Answer:y=-x

Step-by-step explanation:Amos tbrewer1205

8 0

4 years ago