All categories

3 years ago

Fill in the blanks to write the number 9.175 in expanded form: 9.175 = 9 + 0.1 + blank + blank

Mathematics

2 answers:

Romashka-Z-Leto [24]3 years ago

8 0

In expanded form, the number would be 9 + 0.1 + 0.07 + 0.005.

iogann1982 [59]3 years ago

5 0

The answer is 9 + .1 + .07 + .005 = 9.175

You might be interested in

Please help me ASAP!!!

Anon25 [30]

Answer:

where the question?......

5 0

3 years ago

Read 2 more answers

Which is greater 0.22 or 0.022

BartSMP [9]

.22 because 2 is greater than zero

8 0

3 years ago

Read 2 more answers

What is the answer to 2-6

uysha [10]

Answer:

The answer for this question is-4

5 0

2 years ago

Read 2 more answers

Show that ∆ABC is a right triangle if A(0, 0), B(3, 2), and C(–2, 3). Find the slope m1 of AB and the slope m2 of AC and verify

Mariana [72]

First we'll show this is a right triangle by the Pythagorean Theorem:

$A(0,0), B(3,2), C(-2, 3)$

$AB^2=3^2+2^2=13$

$AC^2=(-2)^2+3^2=13$

$BC^2 = (-3 -3)^2 + (3 -2)^2 = 26$

Since $AB^2+AC^2=BC^2$ we have a right triangle, by the (converse to the) Pythagorean Theorem. We also see it's isosceles, AB=AC.

$\textrm{Slope of AB} = m_1 = \dfrac{2 - 0}{3 - 0} = \dfrac 2 3$

$\textrm{Slope of AC} = m_2 = \dfrac{3 - 0}{-2 - 0} = -\dfrac 3 2$

$m_1 m_2 = (\frac 2 3)(-\frac 3 2 ) = -1 \quad\checkmark$

That's the end of the homework but I'll go on a bit.

Another way to show perpendicularity, essentially the same as the other two, is by a zero as the dot product of the sides as vectors, differences between vertices.

Vector AB = B - A = (3,2)

Vector AC = C - A = (-2, 3)

AB · AC = 3(-2) + 2(3) = 0

A zero dot product means

AB ⊥ AC

8 0

3 years ago

The sum of the measures of the interior angles of a triangle is 180 °. The measure of the 1st angle is 15 ° less than the 2nd. T

DaniilM [7]

1st angle (x): x - 15

2nd angle (y): x

3rd angle (z): $\frac{1}{2}$ x + 45

The sum of the interior angles of a triangle equals 180°

1st angle + 2nd angle + 3rd angle = 180

x - 15 + x + $\frac{1}{2}$ x + 45 = 180

2x + 30 + $\frac{1}{2}$ x = 180 (added like terms on left side)

2x + $\frac{1}{2}$ x = 150 (subtracted 30 from both sides)

4x + x = 300 (multiplied all terms by 2 to eliminate the denominator)

5x = 300 (added like terms on left side)

x = 60 (divided by 5 on both sides)

1st angle (x): x - 15 → (60) - 15 = 45

3rd angle (z): $\frac{1}{2}$ x + 45 → $\frac{1}{2}$ (60) + 45 → 30 + 45 = 75

Answer: 45°, 60°, 75°

3 0

3 years ago