Please help, last two questions.

Mathematics

1 answer:

Novay_Z [31]3 years ago

5 0

First problem.
The function is f(x) = 3^x.
The base, b, is 3 since 3 is raised to power x.
The question is what value of x used in 3^x makes the expression 3^x equal to 3?
Look at the graph, and find the point that has y-value 3.
Which x-value does that point have?
The point is (1, 3), and the x-value is 1.

Second question.
The question is similar to the question above using a different exponential function.
(1/4)^1 = 1/4, so the answer is x = 1

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What did a the surface area of the square pyramid below?

Mamont248 [21]

Answer:

Area of the square pyramid = $156\,cm^2$

Step-by-step explanation:

The Surface area of the square pyramid :

Area of the four triangular faces+ Area of the square base

$=(2\times Base \times Height )+ (Side\times Side)$

For triangle:

$Base=6\,cm\\Height=10\,cm$

Side of the square base= $6\,cm$

Area of the figure is:

$=(2\times 6 \times10 )+(6\times 6)\\\\=120+36\\\\=156\,cm^2$

The area of the square pyramid is : $156\,cm^2$

4 0

3 years ago

Can someone please help me? Thank you so much! ^^

Sholpan [36]

$\text{Volume of hemisphere} = \dfrac 23 \pi \times r^3\\\\\implies 56 = \dfrac{2 \pi}3} \times r^3\\\\\implies 56 \times 3 = 2 \pi r^3\\\\\implies r^3 = \dfrac{168}{2 \pi} \\\\\implies r =\sqrt[3]{\dfrac{168}{2\pi}} = 2.99 \approx 3~ cm$