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2 years ago

What is the value of x? 25 pts. Enter your answer in the box.

Mathematics

2 answers:

natita [175]2 years ago

6 0

Since it’s a right angled triangle, you can use the Pythagorean theorem, which states that
Altitude^2 + Base^2 = Hypotenuse^2
Altitude^2 = hypotenuse^2 - base^2
A^2 = 10^2 - 6^2
A^2 = 100-36
A^2 = 64
A= 8 units (since 8*8 is 64)

lys-0071 [83]2 years ago

4 0

We could solve the problem using pythagorean theorem. The sum of the square of the perpendicular lines on right triangle is the square of the hypotenuse.
x² + 6² = 10²

all we need to do is solve for x
x² + 36 = 100
x² = 100 - 36
x² = 64
x² = 8²
x = 8

The value of x is 8

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If f(x) = 10 + 50x, solve for x when f(x) = 310.

weqwewe [10]

x = 6

given f(x) = 310, we obtain the equation

10 + 50x = 310 ( subtract 10 from both sides )

50x = 300 ( divide both sides by 50 )

x = $\frac{300}{50}$ = 6

5 0

3 years ago

How much would $300 invested at 4% interest compounded monthly be

Anna11 [10]

Answer:

$412.92

Step-by-step explanation:

You are going to want to use the compound interest formula, which is shown below.

$A=P(1+\frac{r}{n} )^{nt}$

P = initial balance

r = interest rate

n = number of times compounded annually

t = time

The first step is to change 4% into its decimal form:

4% -> $\frac{4}{100}$ -> 0.04

Now plug in the values:

$A=300(1+\frac{0.04}{12})^{(12)8}$

$A=412.92$

It would be worth $412.92

8 0

2 years ago

The smaller triangle is the image of the larger triangle after a dilation. The center of the dilation is (−3,−2). What is the sc

SIZIF [17.4K]

Try this option:

Scale_factor (s_f) is new_size:initial_size:

s_f=8/2=4

answer: 4

7 0

2 years ago

A triangle has a perimeter of

lapo4ka [179]

Answer:

The smallest side is 7inches

Step-by-step explanation:

Let the shorter side be y.

The medium side is 4 more than the short side i.e

Meduim side = 4 + y

The longest side is 5 times the length of the shortest side i.e

Logest side = 5y.

Perimeter of the triangle = 53 inches

But the perimeter of a triangle is the Sum of all sides i.e

P = small + medium + large

53 = y + (4+y) + 5y

53 = y + 4 + y + 5y

Collect like terms

53 — 4 = 7y

49 = 7y

Divide both side by 7

y = 49/7

y = 7inches

Therefore the smallest side is 7inches

8 0

2 years ago

Two researchers conducted a study in which two groups of students were asked to answer 42 trivia questions from a board game. Th

Pepsi [2]

Answer:

Step-by-step explanation:

a) The formula for determining the confidence interval for the difference of two population means is expressed as

Confidence interval = (x1 - x2) ± z√(s²/n1 + s2²/n2)

Where

x1 = sample mean of group 1

x2 = sample mean of group 2

s1 = sample standard deviation for data 1

s2 = sample standard deviation for data 2

For a 90% confidence interval, the z score is 1.645

From the information given,

x1 = 24.5

s1 = 4.3

n1 = 200

x2 = 16.3

s2 = 3.1

n2 = 200

x1 - x2 = 24.5 - 16.3 = 8.2

z√(s1²/n1 + s2²/n2) = 1.645√(4.3²/200 + 3.1²/200) = 1.645√0.1405

z = 0.62

Therefore, the 90% confidence interval is 8.2 ± 0.62

Interpretation:

B.The researchers are 90% confident that the difference of the means is in the interval.

b) B.Since the 90% confidence interval does not contain zero, the results suggest that priming does have an effect on scores.

8 0

2 years ago