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4 years ago

Use a calculator to solve this problem: 28 + 27 × 36 A. 792 B. 1000 C. 1980

Mathematics

2 answers:

fenix001 [56]4 years ago

3 0

Answer:

B.1000

Step-by-step explanation:

aleksley [76]4 years ago

3 0

Answer:

Step-by-step explanation:

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In the diagram below secants PT & PU have been drawn from exterior point P such that the four arcs intercepted have the foll

fiasKO [112]

Answer:

x = 30°
RS = 30°, SR = TU = 120°, UR = 90°
∠P = 45°
∠UTS = 60°

Step-by-step explanation:

(a) If RS = x, then the sum of arcs around the circle is ...

x + 4x +4x +3x = 360°

12x = 360°

x = 30°

(b) Based on the given ratios, the arc measures are computed from x. For example, ST = TU = 4x = 4(30°) = 120°

RS = 30°
ST = 120°
TU = 120°
UR = 90°

(c) Angle P is half the difference of arcs TU and RS:

∠P = (TU -RS)/2 = (120° -30°)/2

∠P = 45°

(d) Inscribed angle UTS is half the measure of the arc it intercepts. Arc RU has the measure (30° +90°) = 120°, so the measure of UTS is ...

∠UTS = 120°/2 = 60°

4 0

4 years ago

Select the correct answer from each drop-down menu. Quadrilateral PQRS, with vertex P(-5, -3), undergoes a transformation to for

anygoal [31]

Answer:

i) A. 180º rotation about the origin, ii) $Q' = (4, 5)$ .

Step-by-step explanation:

i) In this case, we understand that vertex $P = (-5,-3)$ changed to $P' = (5,3)$ after doing an operation. At first we must calculate the distance of each point regarding origin by Pythagorean Theorem:

Point P:

$OP = \sqrt{(x_{P}-x_{O})^{2}+(y_{P}-y_{O})^{2}}$

If we know that $x_{P} = -5$ , $y_{P} = -3$ , $x_{O} = 0$ and $y_{O} = 0$ , the distance $OP$ is:

$OP = \sqrt{(-5-0)^{2}+(-3-0)^{2}}$

$OP \approx 5.831$

Point P':

$OP' = \sqrt{(x_{P'}-x_{O})^{2}+(y_{P'}-y_{O})^{2}}$

If we know that $x_{P'} = 5$ , $y_{P'} = 3$ , $x_{O} = 0$ and $y_{O} = 0$ , the distance $OP'$ is:

$OP' = \sqrt{(5-0)^{2}+(3-0)^{2}}$

$OP' \approx 5.831$

As $OP = OP'$ , origin is the center of rotation.

Besides, $P'$ is a multiple of $P$ , that is:

1) $(-5, -3)$ Given

2) $((-1)\cdot 5, (-1)\cdot 3)$ $(-a)\cdot b = -a\cdot b$

3) $(-1)\cdot (5, 3)$ Scalar multiplication of a vector/Result.

The value of the scalar proves that P experimented a 180º rotation about the origin. Hence, the correct answer is A.

ii) If $Q = (-4, -5)$ and the same operation described in item i) is used, then, the location of $Q'$ is:

$Q' = (-1)\cdot Q$

$Q' = (-1) \cdot (-4,-5)$

$Q' = ((-1)\cdot (-4), (-1)\cdot (-5))$

$Q' = (4, 5)$

Which corresponds to option C.

7 0

3 years ago

Explain how solving -7y > 161 is different from solving 7y > -161. Please and thank you :D

padilas [110]

-7y > 161......here, u would divide both sides by -7...keep in mind, when dividing/multiplying by a negative number, the inequality sign changes.
y < 161/-7
y < -23

7y > -161...here u divide by 7
y > -161/7
y > -23

8 0

3 years ago

Read 2 more answers

Intercept from a table

gladu [14]

$\bf \begin{array}{ccll} x&y\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ \boxed{14}&\boxed{-5}\\ 21&-3\\ \boxed{28}&\boxed{-1} \end{array}\impliedby \textit{we'll use two points to get the slope}$

$\bf (\stackrel{x_1}{14}~,~\stackrel{y_1}{-5})\qquad (\stackrel{x_2}{28}~,~\stackrel{y_2}{-1}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-1-(-5)}{28-14}\implies \cfrac{-1+5}{28-14} \\\\\\ \cfrac{4}{14}\implies \cfrac{2}{7} \\\\\\ \stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-(-5)=\cfrac{2}{7}(x-14) \\\\\\ y+5=\cfrac{2}{7}x-4$

now, to get the y-intercept, we simply set x = 0 and solve for y, and to get the x-intercept, we set y = 0 and solve for x.

$\bf \stackrel{\textit{y-intercept, x = 0}}{y+5=\cfrac{2}{7}(0)-4}\implies y+5=-4\implies y=-9\qquad \qquad \stackrel{y-intercept}{(0~,-9)}\\\\ -------------------------------\\\\ \stackrel{\textit{x-intercept, y = 0}}{(0)+5=\cfrac{2}{7}x-4}\implies 5=\cfrac{2x}{7}-4\implies 9=\cfrac{2x}{7}\implies 63=2x \\\\\\ \cfrac{63}{2}=x\implies 31\frac{1}{2}=x\qquad \qquad \qquad \qquad \qquad \qquad \qquad \stackrel{x-intercept}{\left( 31\frac{1}{2}~,~0 \right)}$

8 0

3 years ago

a fruit salad is made from pineapples, pears, and peaches mixed in the ratio of 2 to 3 to 5, respectively, by weight. what fract

musickatia [10]

2/10 or 1/5, which is 20%

6 0

4 years ago